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ze:178%;
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 Theorem of Algebra</span></div>
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 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
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 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
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 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0'><span style=3D'posit=
ion:
 absolute;top:15.0%;left:5.24%;width:105.24%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>Given that x =3D 1, i , 2 &#8211=
; i as
 roots of a degree 5 real </span></span><span style=3D'position:absolute;
 top:21.25%;left:5.24%;width:91.57%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>polynomials P(x) and P(0) =3D 10=
.<span
 style=3D'mso-spacerun:yes'>&nbsp; </span>Find P(x).<span
 style=3D'mso-spacerun:yes'>&nbsp; </span></span></span></div>
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soku-overflow:
 0'><span style=3D'position:absolute;top:30.5%;left:5.24%;width:107.49%;
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nsi-font-family:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>P(x) is a r=
eal
 polynomial so the complex roots are in </span></span><span style=3D'positi=
on:
 absolute;top:36.75%;left:5.24%;width:98.87%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>conjugate pairs which are x =3D =
i,</span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:red;mso-fareast-language:ZH-CN'> -i</span><span
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al;
 font-size:156%;color:#003300;mso-fareast-language:ZH-CN'> , (2 &#8211; i),=
 </span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:red;mso-fareast-language:ZH-CN'>(2 + i)</span></span>=
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ze:178%;
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 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
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156%;
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ion:
 absolute;top:15.0%;left:5.24%;width:105.24%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
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; i as
 roots of a degree 5 real </span></span><span style=3D'position:absolute;
 top:21.25%;left:5.24%;width:91.57%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>polynomials P(x) and P(0) =3D 10=
.<span
 style=3D'mso-spacerun:yes'>&nbsp; </span>Find P(x).<span
 style=3D'mso-spacerun:yes'>&nbsp; </span></span></span></div>
 </div>
 <div v:shape=3D"_x0000_s552964" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0'><span style=3D'position:absolute;top:30.5%;left:5.24%;width:107.49%;
 height:6.0%'><span lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-ha=
nsi-font-family:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>P(x) is a r=
eal
 polynomial so the complex roots are in </span></span><span style=3D'positi=
on:
 absolute;top:36.75%;left:5.24%;width:98.87%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>conjugate pairs which are x =3D =
i,</span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:red;mso-fareast-language:ZH-CN'> -i</span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:#003300;mso-fareast-language:ZH-CN'> , (2 &#8211; i),=
 </span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:red;mso-fareast-language:ZH-CN'>(2 + i)</span></span>=
</div>
 <div v:shape=3D"_x0000_s552965" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:44.25%;left:5.24%;width:43.07%;height:6.0%'><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>i + (-i) =3D 0, i=
 </span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 color:#003300;mso-fareast-language:ZH-CN'>*</span><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'> (-i) =3D 1, </span></div>
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sition:absolute;
  left:30pt;top:234pt;width:666pt;height:74.5pt;mso-wrap-style:square'
  filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black=
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  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:shape>
 <div v:shape=3D"_x0000_s553986" class=3DO style=3D'position:absolute;top:1=
.5%;
 left:13.48%;width:90.44%;height:6.75%'><span lang=3DEN-US style=3D'font-si=
ze:178%;
 color:black;mso-color-index:3;mso-fareast-language:ZH-CN'>The Fundamental
 Theorem of Algebra</span></div>
 <div v:shape=3D"_x0000_s553987" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:8.75%;left:5.24%;width:91.57%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>Example C: &#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0'><span style=3D'posit=
ion:
 absolute;top:15.0%;left:5.24%;width:105.24%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>Given that x =3D 1, i , 2 &#8211=
; i as
 roots of a degree 5 real </span></span><span style=3D'position:absolute;
 top:21.25%;left:5.24%;width:91.57%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>polynomials P(x) and P(0) =3D 10=
.<span
 style=3D'mso-spacerun:yes'>&nbsp; </span>Find P(x).<span
 style=3D'mso-spacerun:yes'>&nbsp; </span></span></span></div>
 </div>
 <div v:shape=3D"_x0000_s553988" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0'><span style=3D'position:absolute;top:30.5%;left:5.24%;width:107.49%;
 height:6.0%'><span lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-ha=
nsi-font-family:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>P(x) is a r=
eal
 polynomial so the complex roots are in </span></span><span style=3D'positi=
on:
 absolute;top:36.75%;left:5.24%;width:98.87%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>conjugate pairs which are x =3D =
i,</span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:red;mso-fareast-language:ZH-CN'> -i</span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:#003300;mso-fareast-language:ZH-CN'> , (2 &#8211; i),=
 </span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:red;mso-fareast-language:ZH-CN'>(2 + i)</span></span>=
</div>
 <div v:shape=3D"_x0000_s553989" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:44.25%;left:5.24%;width:105.8%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>i + (-i) =3D 0, i </span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 color:#003300;mso-fareast-language:ZH-CN'>*</span><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'> (-i) =3D 1, so the quadratic wi=
th
 roots i, -i&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:50.5%;left:5.24%;width:90.63%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>is (x</span><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
103%;
 color:#003300;position:relative;top:-.45em;mso-text-raise:30%;mso-fareast-=
language:
 ZH-CN'>2</span><span lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-=
hansi-font-family:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'><span
 style=3D'mso-spacerun:yes'>&nbsp;</span>+ 1).</span></div>
 </div>
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  <v:fill color2=3D"white [0]"/>
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  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
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  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:shape>
 <div v:shape=3D"_x0000_s555010" class=3DO style=3D'position:absolute;top:1=
.5%;
 left:13.48%;width:90.44%;height:6.75%'><span lang=3DEN-US style=3D'font-si=
ze:178%;
 color:black;mso-color-index:3;mso-fareast-language:ZH-CN'>The Fundamental
 Theorem of Algebra</span></div>
 <div v:shape=3D"_x0000_s555011" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:8.75%;left:5.24%;width:91.57%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>Example C: &#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0'><span style=3D'posit=
ion:
 absolute;top:15.0%;left:5.24%;width:105.24%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>Given that x =3D 1, i , 2 &#8211=
; i as
 roots of a degree 5 real </span></span><span style=3D'position:absolute;
 top:21.25%;left:5.24%;width:91.57%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>polynomials P(x) and P(0) =3D 10=
.<span
 style=3D'mso-spacerun:yes'>&nbsp; </span>Find P(x).<span
 style=3D'mso-spacerun:yes'>&nbsp; </span></span></span></div>
 </div>
 <div v:shape=3D"_x0000_s555012" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0'><span style=3D'position:absolute;top:30.5%;left:5.24%;width:107.49%;
 height:6.0%'><span lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-ha=
nsi-font-family:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>P(x) is a r=
eal
 polynomial so the complex roots are in </span></span><span style=3D'positi=
on:
 absolute;top:36.75%;left:5.24%;width:98.87%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>conjugate pairs which are x =3D =
i,</span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:red;mso-fareast-language:ZH-CN'> -i</span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:#003300;mso-fareast-language:ZH-CN'> , (2 &#8211; i),=
 </span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:red;mso-fareast-language:ZH-CN'>(2 + i)</span></span>=
</div>
 <div v:shape=3D"_x0000_s555013" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:44.25%;left:5.24%;width:105.8%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>i + (-i) =3D 0, i </span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 color:#003300;mso-fareast-language:ZH-CN'>*</span><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'> (-i) =3D 1, so the quadratic wi=
th
 roots i, -i&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:50.5%;left:5.24%;width:90.63%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>is (x</span><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
103%;
 color:#003300;position:relative;top:-.45em;mso-text-raise:30%;mso-fareast-=
language:
 ZH-CN'>2</span><span lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-=
hansi-font-family:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'><span
 style=3D'mso-spacerun:yes'>&nbsp;</span>+ 1).</span></div>
 </div>
 <div v:shape=3D"_x0000_s555014" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:57.25%;left:5.24%;width:76.96%;height:6.0%'><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>(2 + i) + (2 &#82=
11;
 i) =3D 4, (2 + i) </span><span lang=3DEN-US style=3D'mso-bidi-font-family:=
Arial;
 mso-hansi-font-family:Arial;color:#003300;mso-fareast-language:ZH-CN'>*</s=
pan><span
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al;
 font-size:156%;color:#003300;mso-fareast-language:ZH-CN'> (2 &#8211; i) =
=3D 5, </span></div>
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  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
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 <div v:shape=3D"_x0000_s558082" class=3DO style=3D'position:absolute;top:1=
.5%;
 left:13.48%;width:90.44%;height:6.75%'><span lang=3DEN-US style=3D'font-si=
ze:178%;
 color:black;mso-color-index:3;mso-fareast-language:ZH-CN'>The Fundamental
 Theorem of Algebra</span></div>
 <div v:shape=3D"_x0000_s558083" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:8.75%;left:5.24%;width:91.57%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>Example C: &#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0'><span style=3D'posit=
ion:
 absolute;top:15.0%;left:5.24%;width:105.24%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>Given that x =3D 1, i , 2 &#8211=
; i as
 roots of a degree 5 real </span></span><span style=3D'position:absolute;
 top:21.25%;left:5.24%;width:91.57%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>polynomials P(x) and P(0) =3D 10=
.<span
 style=3D'mso-spacerun:yes'>&nbsp; </span>Find P(x).<span
 style=3D'mso-spacerun:yes'>&nbsp; </span></span></span></div>
 </div>
 <div v:shape=3D"_x0000_s558084" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0'><span style=3D'position:absolute;top:30.5%;left:5.24%;width:107.49%;
 height:6.0%'><span lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-ha=
nsi-font-family:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>P(x) is a r=
eal
 polynomial so the complex roots are in </span></span><span style=3D'positi=
on:
 absolute;top:36.75%;left:5.24%;width:98.87%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>conjugate pairs which are x =3D =
i,</span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:red;mso-fareast-language:ZH-CN'> -i</span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:#003300;mso-fareast-language:ZH-CN'> , (2 &#8211; i),=
 </span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:red;mso-fareast-language:ZH-CN'>(2 + i)</span></span>=
</div>
 <div v:shape=3D"_x0000_s558085" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:44.25%;left:5.24%;width:105.8%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>i + (-i) =3D 0, i </span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 color:#003300;mso-fareast-language:ZH-CN'>*</span><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'> (-i) =3D 1, so the quadratic wi=
th
 roots i, -i&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:50.5%;left:5.24%;width:90.63%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>is (x</span><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
103%;
 color:#003300;position:relative;top:-.45em;mso-text-raise:30%;mso-fareast-=
language:
 ZH-CN'>2</span><span lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-=
hansi-font-family:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'><span
 style=3D'mso-spacerun:yes'>&nbsp;</span>+ 1).</span></div>
 </div>
 <div v:shape=3D"_x0000_s558086" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0'><span style=3D'position:absolute;top:57.25%;left:5.24%;width:91.01%;
 height:6.0%'><span lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-ha=
nsi-font-family:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>(2 + i) + (2
 &#8211; i) =3D 4, (2 + i) </span><span lang=3DEN-US style=3D'mso-bidi-font=
-family:
 Arial;mso-hansi-font-family:Arial;color:#003300;mso-fareast-language:ZH-CN=
'>*</span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:#003300;mso-fareast-language:ZH-CN'> (2 &#8211; i) =
=3D 5,
 so the </span></span><span style=3D'position:absolute;top:63.5%;left:5.24%;
 width:101.12%;height:6.0%'><span lang=3DEN-US style=3D'mso-bidi-font-famil=
y:Arial;
 mso-hansi-font-family:Arial;font-size:156%;color:#003300;mso-fareast-langu=
age:
 ZH-CN'>quadratic with roots (2 + i), (2 &#8211; i) is (x</span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:103%;color:#003300;position:relative;top:-.45em;mso-text-raise:3=
0%;
 mso-fareast-language:ZH-CN'>2</span><span lang=3DEN-US style=3D'mso-bidi-f=
ont-family:
 Arial;mso-hansi-font-family:Arial;font-size:156%;color:#003300;mso-fareast=
-language:
 ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>&#8211; 4x + 5).</spa=
n></span></div>
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.5%;
 left:13.48%;width:90.44%;height:6.75%'><span lang=3DEN-US style=3D'font-si=
ze:178%;
 color:black;mso-color-index:3;mso-fareast-language:ZH-CN'>The Fundamental
 Theorem of Algebra</span></div>
 <div v:shape=3D"_x0000_s564227" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:8.75%;left:5.24%;width:91.57%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>Example C: &#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0'><span style=3D'posit=
ion:
 absolute;top:15.0%;left:5.24%;width:105.24%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>Given that x =3D 1, i , 2 &#8211=
; i as
 roots of a degree 5 real </span></span><span style=3D'position:absolute;
 top:21.25%;left:5.24%;width:91.57%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>polynomials P(x) and P(0) =3D 10=
.<span
 style=3D'mso-spacerun:yes'>&nbsp; </span>Find P(x).<span
 style=3D'mso-spacerun:yes'>&nbsp; </span></span></span></div>
 </div>
 <div v:shape=3D"_x0000_s564228" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0'><span style=3D'position:absolute;top:30.5%;left:5.24%;width:107.49%;
 height:6.0%'><span lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-ha=
nsi-font-family:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>P(x) is a r=
eal
 polynomial so the complex roots are in </span></span><span style=3D'positi=
on:
 absolute;top:36.75%;left:5.24%;width:98.87%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>conjugate pairs which are x =3D =
i,</span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:red;mso-fareast-language:ZH-CN'> -i</span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:#003300;mso-fareast-language:ZH-CN'> , (2 &#8211; i),=
 </span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:red;mso-fareast-language:ZH-CN'>(2 + i)</span></span>=
</div>
 <div v:shape=3D"_x0000_s564229" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:44.25%;left:5.24%;width:105.8%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>i + (-i) =3D 0, i </span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 color:#003300;mso-fareast-language:ZH-CN'>*</span><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'> (-i) =3D 1, so the quadratic wi=
th
 roots i, -i&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:50.5%;left:5.24%;width:90.63%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>is (x</span><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
103%;
 color:#003300;position:relative;top:-.45em;mso-text-raise:30%;mso-fareast-=
language:
 ZH-CN'>2</span><span lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-=
hansi-font-family:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'><span
 style=3D'mso-spacerun:yes'>&nbsp;</span>+ 1).</span></div>
 </div>
 <div v:shape=3D"_x0000_s564230" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0'><span style=3D'position:absolute;top:57.25%;left:5.24%;width:91.01%;
 height:6.0%'><span lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-ha=
nsi-font-family:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>(2 + i) + (2
 &#8211; i) =3D 4, (2 + i) </span><span lang=3DEN-US style=3D'mso-bidi-font=
-family:
 Arial;mso-hansi-font-family:Arial;color:#003300;mso-fareast-language:ZH-CN=
'>*</span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:#003300;mso-fareast-language:ZH-CN'> (2 &#8211; i) =
=3D 5,
 so the </span></span><span style=3D'position:absolute;top:63.5%;left:5.24%;
 width:101.12%;height:6.0%'><span lang=3DEN-US style=3D'mso-bidi-font-famil=
y:Arial;
 mso-hansi-font-family:Arial;font-size:156%;color:#003300;mso-fareast-langu=
age:
 ZH-CN'>quadratic with roots (2 + i), (2 &#8211; i) is (x</span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:103%;color:#003300;position:relative;top:-.45em;mso-text-raise:3=
0%;
 mso-fareast-language:ZH-CN'>2</span><span lang=3DEN-US style=3D'mso-bidi-f=
ont-family:
 Arial;mso-hansi-font-family:Arial;font-size:156%;color:#003300;mso-fareast=
-language:
 ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>&#8211; 4x + 5).</spa=
n></span></div>
 <div v:shape=3D"_x0000_s564231" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0'><span style=3D'position:absolute;top:71.0%;left:5.24%;width:98.31%;
 height:6.0%'><span lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-ha=
nsi-font-family:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>Therefore P=
(x)
 =3D k(x &#8211; 1)(x</span><span lang=3DEN-US style=3D'mso-bidi-font-famil=
y:Arial;
 mso-hansi-font-family:Arial;font-size:103%;color:#003300;position:relative;
 top:-.45em;mso-text-raise:30%;mso-fareast-language:ZH-CN'>2</span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:#003300;mso-fareast-language:ZH-CN'><span
 style=3D'mso-spacerun:yes'>&nbsp;</span>+ 1)(x</span><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
103%;
 color:#003300;position:relative;top:-.45em;mso-text-raise:30%;mso-fareast-=
language:
 ZH-CN'>2</span><span lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-=
hansi-font-family:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'><span
 style=3D'mso-spacerun:yes'>&nbsp;</span>&#8211; 4x + 5) for </span></span>=
<span
 style=3D'position:absolute;top:77.25%;left:5.24%;width:92.32%;height:6.0%'=
><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>some constant k. =
</span></span></div>
</p:slide></div>

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 <div v:shape=3D"_x0000_s565250" class=3DO style=3D'position:absolute;top:1=
.5%;
 left:13.48%;width:90.44%;height:6.75%'><span lang=3DEN-US style=3D'font-si=
ze:178%;
 color:black;mso-color-index:3;mso-fareast-language:ZH-CN'>The Fundamental
 Theorem of Algebra</span></div>
 <div v:shape=3D"_x0000_s565251" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:8.75%;left:5.24%;width:91.57%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>Example C: &#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0'><span style=3D'posit=
ion:
 absolute;top:15.0%;left:5.24%;width:105.24%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>Given that x =3D 1, i , 2 &#8211=
; i as
 roots of a degree 5 real </span></span><span style=3D'position:absolute;
 top:21.25%;left:5.24%;width:91.57%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>polynomials P(x) and P(0) =3D 10=
.<span
 style=3D'mso-spacerun:yes'>&nbsp; </span>Find P(x).<span
 style=3D'mso-spacerun:yes'>&nbsp; </span></span></span></div>
 </div>
 <div v:shape=3D"_x0000_s565252" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0'><span style=3D'position:absolute;top:30.5%;left:5.24%;width:107.49%;
 height:6.0%'><span lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-ha=
nsi-font-family:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>P(x) is a r=
eal
 polynomial so the complex roots are in </span></span><span style=3D'positi=
on:
 absolute;top:36.75%;left:5.24%;width:98.87%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>conjugate pairs which are x =3D =
i,</span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:red;mso-fareast-language:ZH-CN'> -i</span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:#003300;mso-fareast-language:ZH-CN'> , (2 &#8211; i),=
 </span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:red;mso-fareast-language:ZH-CN'>(2 + i)</span></span>=
</div>
 <div v:shape=3D"_x0000_s565253" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:44.25%;left:5.24%;width:105.8%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>i + (-i) =3D 0, i </span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 color:#003300;mso-fareast-language:ZH-CN'>*</span><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'> (-i) =3D 1, so the quadratic wi=
th
 roots i, -i&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:50.5%;left:5.24%;width:90.63%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>is (x</span><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
103%;
 color:#003300;position:relative;top:-.45em;mso-text-raise:30%;mso-fareast-=
language:
 ZH-CN'>2</span><span lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-=
hansi-font-family:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'><span
 style=3D'mso-spacerun:yes'>&nbsp;</span>+ 1).</span></div>
 </div>
 <div v:shape=3D"_x0000_s565254" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0'><span style=3D'position:absolute;top:57.25%;left:5.24%;width:91.01%;
 height:6.0%'><span lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-ha=
nsi-font-family:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>(2 + i) + (2
 &#8211; i) =3D 4, (2 + i) </span><span lang=3DEN-US style=3D'mso-bidi-font=
-family:
 Arial;mso-hansi-font-family:Arial;color:#003300;mso-fareast-language:ZH-CN=
'>*</span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:#003300;mso-fareast-language:ZH-CN'> (2 &#8211; i) =
=3D 5,
 so the </span></span><span style=3D'position:absolute;top:63.5%;left:5.24%;
 width:101.12%;height:6.0%'><span lang=3DEN-US style=3D'mso-bidi-font-famil=
y:Arial;
 mso-hansi-font-family:Arial;font-size:156%;color:#003300;mso-fareast-langu=
age:
 ZH-CN'>quadratic with roots (2 + i), (2 &#8211; i) is (x</span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:103%;color:#003300;position:relative;top:-.45em;mso-text-raise:3=
0%;
 mso-fareast-language:ZH-CN'>2</span><span lang=3DEN-US style=3D'mso-bidi-f=
ont-family:
 Arial;mso-hansi-font-family:Arial;font-size:156%;color:#003300;mso-fareast=
-language:
 ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>&#8211; 4x + 5).</spa=
n></span></div>
 <div v:shape=3D"_x0000_s565255" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0'><span style=3D'posit=
ion:
 absolute;top:71.0%;left:5.24%;width:98.31%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>Therefore P(x) =3D k(x &#8211; 1=
)(x</span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:103%;color:#003300;position:relative;top:-.45em;mso-text-raise:3=
0%;
 mso-fareast-language:ZH-CN'>2</span><span lang=3DEN-US style=3D'mso-bidi-f=
ont-family:
 Arial;mso-hansi-font-family:Arial;font-size:156%;color:#003300;mso-fareast=
-language:
 ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>+ 1)(x</span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:103%;color:#003300;position:relative;top:-.45em;mso-text-raise:3=
0%;
 mso-fareast-language:ZH-CN'>2</span><span lang=3DEN-US style=3D'mso-bidi-f=
ont-family:
 Arial;mso-hansi-font-family:Arial;font-size:156%;color:#003300;mso-fareast=
-language:
 ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>&#8211; 4x + 5) for <=
/span></span><span
 style=3D'position:absolute;top:77.25%;left:5.24%;width:92.32%;height:6.0%'=
><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>some constant k.
 &#13;</span></span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:83.5%;left:5.24%;width:92.32%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>But P(0) =3D 10 </span></div>
 </div>
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  left:30pt;top:303.625pt;width:666pt;height:74.5pt;mso-wrap-style:square'
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 [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:shape><v:shape id=3D"_x0000_s566279" type=3D"#_x0000_t202" style=3D'po=
sition:absolute;
  left:30pt;top:378pt;width:678pt;height:108.125pt;mso-wrap-style:square'
  filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black=
 [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:shape>
 <div v:shape=3D"_x0000_s566274" class=3DO style=3D'position:absolute;top:1=
.5%;
 left:13.48%;width:90.44%;height:6.75%'><span lang=3DEN-US style=3D'font-si=
ze:178%;
 color:black;mso-color-index:3;mso-fareast-language:ZH-CN'>The Fundamental
 Theorem of Algebra</span></div>
 <div v:shape=3D"_x0000_s566275" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:8.75%;left:5.24%;width:91.57%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>Example C: &#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0'><span style=3D'posit=
ion:
 absolute;top:15.0%;left:5.24%;width:105.24%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>Given that x =3D 1, i , 2 &#8211=
; i as
 roots of a degree 5 real </span></span><span style=3D'position:absolute;
 top:21.25%;left:5.24%;width:91.57%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>polynomials P(x) and P(0) =3D 10=
.<span
 style=3D'mso-spacerun:yes'>&nbsp; </span>Find P(x).<span
 style=3D'mso-spacerun:yes'>&nbsp; </span></span></span></div>
 </div>
 <div v:shape=3D"_x0000_s566276" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0'><span style=3D'position:absolute;top:30.5%;left:5.24%;width:107.49%;
 height:6.0%'><span lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-ha=
nsi-font-family:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>P(x) is a r=
eal
 polynomial so the complex roots are in </span></span><span style=3D'positi=
on:
 absolute;top:36.75%;left:5.24%;width:98.87%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>conjugate pairs which are x =3D =
i,</span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:red;mso-fareast-language:ZH-CN'> -i</span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:#003300;mso-fareast-language:ZH-CN'> , (2 &#8211; i),=
 </span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:red;mso-fareast-language:ZH-CN'>(2 + i)</span></span>=
</div>
 <div v:shape=3D"_x0000_s566277" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:44.25%;left:5.24%;width:105.8%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>i + (-i) =3D 0, i </span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 color:#003300;mso-fareast-language:ZH-CN'>*</span><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'> (-i) =3D 1, so the quadratic wi=
th
 roots i, -i&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:50.5%;left:5.24%;width:90.63%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>is (x</span><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
103%;
 color:#003300;position:relative;top:-.45em;mso-text-raise:30%;mso-fareast-=
language:
 ZH-CN'>2</span><span lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-=
hansi-font-family:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'><span
 style=3D'mso-spacerun:yes'>&nbsp;</span>+ 1).</span></div>
 </div>
 <div v:shape=3D"_x0000_s566278" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0'><span style=3D'position:absolute;top:57.25%;left:5.24%;width:91.01%;
 height:6.0%'><span lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-ha=
nsi-font-family:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>(2 + i) + (2
 &#8211; i) =3D 4, (2 + i) </span><span lang=3DEN-US style=3D'mso-bidi-font=
-family:
 Arial;mso-hansi-font-family:Arial;color:#003300;mso-fareast-language:ZH-CN=
'>*</span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:#003300;mso-fareast-language:ZH-CN'> (2 &#8211; i) =
=3D 5,
 so the </span></span><span style=3D'position:absolute;top:63.5%;left:5.24%;
 width:101.12%;height:6.0%'><span lang=3DEN-US style=3D'mso-bidi-font-famil=
y:Arial;
 mso-hansi-font-family:Arial;font-size:156%;color:#003300;mso-fareast-langu=
age:
 ZH-CN'>quadratic with roots (2 + i), (2 &#8211; i) is (x</span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:103%;color:#003300;position:relative;top:-.45em;mso-text-raise:3=
0%;
 mso-fareast-language:ZH-CN'>2</span><span lang=3DEN-US style=3D'mso-bidi-f=
ont-family:
 Arial;mso-hansi-font-family:Arial;font-size:156%;color:#003300;mso-fareast=
-language:
 ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>&#8211; 4x + 5).</spa=
n></span></div>
 <div v:shape=3D"_x0000_s566279" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0'><span style=3D'posit=
ion:
 absolute;top:71.0%;left:5.24%;width:98.31%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>Therefore P(x) =3D k(x &#8211; 1=
)(x</span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:103%;color:#003300;position:relative;top:-.45em;mso-text-raise:3=
0%;
 mso-fareast-language:ZH-CN'>2</span><span lang=3DEN-US style=3D'mso-bidi-f=
ont-family:
 Arial;mso-hansi-font-family:Arial;font-size:156%;color:#003300;mso-fareast=
-language:
 ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>+ 1)(x</span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:103%;color:#003300;position:relative;top:-.45em;mso-text-raise:3=
0%;
 mso-fareast-language:ZH-CN'>2</span><span lang=3DEN-US style=3D'mso-bidi-f=
ont-family:
 Arial;mso-hansi-font-family:Arial;font-size:156%;color:#003300;mso-fareast=
-language:
 ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>&#8211; 4x + 5) for <=
/span></span><span
 style=3D'position:absolute;top:77.25%;left:5.24%;width:92.32%;height:6.0%'=
><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>some constant k.
 &#13;</span></span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:83.5%;left:5.24%;width:97.19%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>But P(0) =3D 10 =3D k(0 &#8211; =
1)(0 +
 1)(0 &#8211; 0 + 5) =3D -5k,</span></div>
 </div>
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  <v:fill color2=3D"white [0]"/>
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  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
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sition:absolute;
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  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:shape><v:shape id=3D"_x0000_s567302" type=3D"#_x0000_t202" style=3D'po=
sition:absolute;
  left:30pt;top:303.625pt;width:666pt;height:74.5pt;mso-wrap-style:square'
  filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black=
 [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:shape><v:shape id=3D"_x0000_s567303" type=3D"#_x0000_t202" style=3D'po=
sition:absolute;
  left:30pt;top:378pt;width:678pt;height:141.75pt;mso-wrap-style:square'
  filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black=
 [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:shape>
 <div v:shape=3D"_x0000_s567298" class=3DO style=3D'position:absolute;top:1=
.5%;
 left:13.48%;width:90.44%;height:6.75%'><span lang=3DEN-US style=3D'font-si=
ze:178%;
 color:black;mso-color-index:3;mso-fareast-language:ZH-CN'>The Fundamental
 Theorem of Algebra</span></div>
 <div v:shape=3D"_x0000_s567299" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:8.75%;left:5.24%;width:91.57%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>Example C: &#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0'><span style=3D'posit=
ion:
 absolute;top:15.0%;left:5.24%;width:105.24%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>Given that x =3D 1, i , 2 &#8211=
; i as
 roots of a degree 5 real </span></span><span style=3D'position:absolute;
 top:21.25%;left:5.24%;width:91.57%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>polynomials P(x) and P(0) =3D 10=
.<span
 style=3D'mso-spacerun:yes'>&nbsp; </span>Find P(x).<span
 style=3D'mso-spacerun:yes'>&nbsp; </span></span></span></div>
 </div>
 <div v:shape=3D"_x0000_s567300" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0'><span style=3D'position:absolute;top:30.5%;left:5.24%;width:107.49%;
 height:6.0%'><span lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-ha=
nsi-font-family:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>P(x) is a r=
eal
 polynomial so the complex roots are in </span></span><span style=3D'positi=
on:
 absolute;top:36.75%;left:5.24%;width:98.87%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>conjugate pairs which are x =3D =
i,</span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:red;mso-fareast-language:ZH-CN'> -i</span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:#003300;mso-fareast-language:ZH-CN'> , (2 &#8211; i),=
 </span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:red;mso-fareast-language:ZH-CN'>(2 + i)</span></span>=
</div>
 <div v:shape=3D"_x0000_s567301" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:44.25%;left:5.24%;width:105.8%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>i + (-i) =3D 0, i </span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 color:#003300;mso-fareast-language:ZH-CN'>*</span><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'> (-i) =3D 1, so the quadratic wi=
th
 roots i, -i&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:50.5%;left:5.24%;width:90.63%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>is (x</span><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
103%;
 color:#003300;position:relative;top:-.45em;mso-text-raise:30%;mso-fareast-=
language:
 ZH-CN'>2</span><span lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-=
hansi-font-family:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'><span
 style=3D'mso-spacerun:yes'>&nbsp;</span>+ 1).</span></div>
 </div>
 <div v:shape=3D"_x0000_s567302" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0'><span style=3D'position:absolute;top:57.25%;left:5.24%;width:91.01%;
 height:6.0%'><span lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-ha=
nsi-font-family:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>(2 + i) + (2
 &#8211; i) =3D 4, (2 + i) </span><span lang=3DEN-US style=3D'mso-bidi-font=
-family:
 Arial;mso-hansi-font-family:Arial;color:#003300;mso-fareast-language:ZH-CN=
'>*</span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:#003300;mso-fareast-language:ZH-CN'> (2 &#8211; i) =
=3D 5,
 so the </span></span><span style=3D'position:absolute;top:63.5%;left:5.24%;
 width:101.12%;height:6.0%'><span lang=3DEN-US style=3D'mso-bidi-font-famil=
y:Arial;
 mso-hansi-font-family:Arial;font-size:156%;color:#003300;mso-fareast-langu=
age:
 ZH-CN'>quadratic with roots (2 + i), (2 &#8211; i) is (x</span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:103%;color:#003300;position:relative;top:-.45em;mso-text-raise:3=
0%;
 mso-fareast-language:ZH-CN'>2</span><span lang=3DEN-US style=3D'mso-bidi-f=
ont-family:
 Arial;mso-hansi-font-family:Arial;font-size:156%;color:#003300;mso-fareast=
-language:
 ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>&#8211; 4x + 5).</spa=
n></span></div>
 <div v:shape=3D"_x0000_s567303" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0'><span style=3D'posit=
ion:
 absolute;top:71.0%;left:5.24%;width:98.31%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>Therefore P(x) =3D k(x &#8211; 1=
)(x</span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:103%;color:#003300;position:relative;top:-.45em;mso-text-raise:3=
0%;
 mso-fareast-language:ZH-CN'>2</span><span lang=3DEN-US style=3D'mso-bidi-f=
ont-family:
 Arial;mso-hansi-font-family:Arial;font-size:156%;color:#003300;mso-fareast=
-language:
 ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>+ 1)(x</span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:103%;color:#003300;position:relative;top:-.45em;mso-text-raise:3=
0%;
 mso-fareast-language:ZH-CN'>2</span><span lang=3DEN-US style=3D'mso-bidi-f=
ont-family:
 Arial;mso-hansi-font-family:Arial;font-size:156%;color:#003300;mso-fareast=
-language:
 ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>&#8211; 4x + 5) for <=
/span></span><span
 style=3D'position:absolute;top:77.25%;left:5.24%;width:92.32%;height:6.0%'=
><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>some constant k.
 &#13;</span></span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:83.5%;left:5.24%;width:97.19%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>But P(0) =3D 10 =3D k(0 &#8211; =
1)(0 +
 1)(0 &#8211; 0 + 5) =3D -5k, &#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:89.75%;left:5.24%;width:92.32%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>so k =3D -2.<span
 style=3D'mso-spacerun:yes'>&nbsp; </span></span></div>
 </div>
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  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:shape>
 <div v:shape=3D"_x0000_s568322" class=3DO style=3D'position:absolute;top:1=
.5%;
 left:13.48%;width:90.44%;height:6.75%'><span lang=3DEN-US style=3D'font-si=
ze:178%;
 color:black;mso-color-index:3;mso-fareast-language:ZH-CN'>The Fundamental
 Theorem of Algebra</span></div>
 <div v:shape=3D"_x0000_s568323" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:8.75%;left:5.24%;width:91.57%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>Example C: &#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0'><span style=3D'posit=
ion:
 absolute;top:15.0%;left:5.24%;width:105.24%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>Given that x =3D 1, i , 2 &#8211=
; i as
 roots of a degree 5 real </span></span><span style=3D'position:absolute;
 top:21.25%;left:5.24%;width:91.57%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>polynomials P(x) and P(0) =3D 10=
.<span
 style=3D'mso-spacerun:yes'>&nbsp; </span>Find P(x).<span
 style=3D'mso-spacerun:yes'>&nbsp; </span></span></span></div>
 </div>
 <div v:shape=3D"_x0000_s568324" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0'><span style=3D'position:absolute;top:30.5%;left:5.24%;width:107.49%;
 height:6.0%'><span lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-ha=
nsi-font-family:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>P(x) is a r=
eal
 polynomial so the complex roots are in </span></span><span style=3D'positi=
on:
 absolute;top:36.75%;left:5.24%;width:98.87%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>conjugate pairs which are x =3D =
i,</span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:red;mso-fareast-language:ZH-CN'> -i</span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:#003300;mso-fareast-language:ZH-CN'> , (2 &#8211; i),=
 </span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:red;mso-fareast-language:ZH-CN'>(2 + i)</span></span>=
</div>
 <div v:shape=3D"_x0000_s568325" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:44.25%;left:5.24%;width:105.8%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>i + (-i) =3D 0, i </span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 color:#003300;mso-fareast-language:ZH-CN'>*</span><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'> (-i) =3D 1, so the quadratic wi=
th
 roots i, -i&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:50.5%;left:5.24%;width:90.63%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>is (x</span><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
103%;
 color:#003300;position:relative;top:-.45em;mso-text-raise:30%;mso-fareast-=
language:
 ZH-CN'>2</span><span lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-=
hansi-font-family:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'><span
 style=3D'mso-spacerun:yes'>&nbsp;</span>+ 1).</span></div>
 </div>
 <div v:shape=3D"_x0000_s568326" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0'><span style=3D'position:absolute;top:57.25%;left:5.24%;width:91.01%;
 height:6.0%'><span lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-ha=
nsi-font-family:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>(2 + i) + (2
 &#8211; i) =3D 4, (2 + i) </span><span lang=3DEN-US style=3D'mso-bidi-font=
-family:
 Arial;mso-hansi-font-family:Arial;color:#003300;mso-fareast-language:ZH-CN=
'>*</span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:#003300;mso-fareast-language:ZH-CN'> (2 &#8211; i) =
=3D 5,
 so the </span></span><span style=3D'position:absolute;top:63.5%;left:5.24%;
 width:101.12%;height:6.0%'><span lang=3DEN-US style=3D'mso-bidi-font-famil=
y:Arial;
 mso-hansi-font-family:Arial;font-size:156%;color:#003300;mso-fareast-langu=
age:
 ZH-CN'>quadratic with roots (2 + i), (2 &#8211; i) is (x</span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:103%;color:#003300;position:relative;top:-.45em;mso-text-raise:3=
0%;
 mso-fareast-language:ZH-CN'>2</span><span lang=3DEN-US style=3D'mso-bidi-f=
ont-family:
 Arial;mso-hansi-font-family:Arial;font-size:156%;color:#003300;mso-fareast=
-language:
 ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>&#8211; 4x + 5).</spa=
n></span></div>
 <div v:shape=3D"_x0000_s568327" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0'><span style=3D'posit=
ion:
 absolute;top:71.0%;left:5.24%;width:98.31%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>Therefore P(x) =3D k(x &#8211; 1=
)(x</span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:103%;color:#003300;position:relative;top:-.45em;mso-text-raise:3=
0%;
 mso-fareast-language:ZH-CN'>2</span><span lang=3DEN-US style=3D'mso-bidi-f=
ont-family:
 Arial;mso-hansi-font-family:Arial;font-size:156%;color:#003300;mso-fareast=
-language:
 ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>+ 1)(x</span><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:103%;color:#003300;position:relative;top:-.45em;mso-text-raise:3=
0%;
 mso-fareast-language:ZH-CN'>2</span><span lang=3DEN-US style=3D'mso-bidi-f=
ont-family:
 Arial;mso-hansi-font-family:Arial;font-size:156%;color:#003300;mso-fareast=
-language:
 ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>&#8211; 4x + 5) for <=
/span></span><span
 style=3D'position:absolute;top:77.25%;left:5.24%;width:92.32%;height:6.0%'=
><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>some constant k.
 &#13;</span></span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:83.5%;left:5.24%;width:97.19%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>But P(0) =3D 10 =3D k(0 &#8211; =
1)(0 +
 1)(0 &#8211; 0 + 5) =3D -5k, &#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:89.75%;left:5.24%;width:92.32%;height:6.0%'><span lang=3DEN-US
 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
156%;
 color:#003300;mso-fareast-language:ZH-CN'>so k =3D -2.<span
 style=3D'mso-spacerun:yes'>&nbsp; </span></span></div>
 </div>
 <div v:shape=3D"_x0000_s568328" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:90.0%;left:22.65%;width:88.01%;height:6.0%'><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:156%;color:#003300;mso-fareast-language:ZH-CN'>Hence P(x) =3D -2=
(x
 &#8211; 1)(x</span><span lang=3DEN-US style=3D'mso-bidi-font-family:Arial;
 mso-hansi-font-family:Arial;font-size:103%;color:#003300;position:relative;
 top:-.45em;mso-text-raise:30%;mso-fareast-language:ZH-CN'>2</span><span
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al;
 font-size:156%;color:#003300;mso-fareast-language:ZH-CN'><span
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 style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Arial;font-size:=
103%;
 color:#003300;position:relative;top:-.45em;mso-text-raise:30%;mso-fareast-=
language:
 ZH-CN'>2</span><span lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-=
hansi-font-family:
 Arial;font-size:156%;color:#003300;mso-fareast-language:ZH-CN'><span
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		else
			sId =3D fixedHref.substring(fixedHref.lastIndexOf('\\') + 1)
	}
=09
	return sId
}
function HideMenu() { if( frames["PPTSld"] && PPTSld.document.all.item("ctx=
tmenu") && PPTSld.ctxtmenu.style.display!=3D"none" ) { PPTSld.ctxtmenu.styl=
e.display=3D'none'; return true } return false }
function IsWin( name ) { return window.name =3D=3D name }
function IsNts() { return IsWin("PPTNts") }
function IsSldOrNts() { return( IsWin("PPTSld")||IsWin("PPTNts") ) }
function SupportsPPTAnimation() { return( navigator.platform =3D=3D "Win32"=
 && navigator.appVersion.indexOf("Windows")>0 ) }
function SupportsPPTHTML()
{
	var appVer=3Dnavigator.appVersion, msie=3DappVer.indexOf("MSIE "), ver=3D0
	if( msie >=3D 0 )
		ver=3DparseFloat( appVer.substring( msie+5, appVer.indexOf(";",msie) ) )
	else
		ver=3DparseInt(appVer)

	return( ver >=3D 4 && msie >=3D 0 )
}
function _RSW()
{
	if( !g_supportsPPTHTML || IsNts() ||
	  ( !g_scaleInFrame && (!IsWin("PPTSld") || !parent.IsFullScrMode()) ) )
		return

        var padding=3D0;
        if( IsWin("PPTSld") && parent.IsFramesMode() ) padding=3D6

	cltWidth=3Ddocument.body.clientWidth-padding
	cltHeight=3Ddocument.body.clientHeight-padding
	factor=3D(1.0*cltWidth)/g_origW
	if( cltHeight < g_origH*factor )
		factor=3D(1.0*cltHeight)/g_origH

	newSize =3D g_origSz * factor
	if( newSize < 1 ) newSize=3D1

	s=3DSlideObj.style
	s.fontSize=3DnewSize+"px"
	s.posWidth=3Dg_origW*factor
	s.posHeight=3Dg_origH*factor
	s.posLeft=3D(cltWidth-s.posWidth+padding)/2
	s.posTop=3D(cltHeight-s.posHeight+padding)/2

	if( g_scaleHyperlinks )
		ScaleHyperlinks( factor )
}
function _InitAnimations()
{
	animRuntimeInstalled =3D ''+document.body.localTime !=3D 'undefined';
	isFullScreen =3D (window.name =3D=3D "PPTSld") && !parent.IsFramesMode();
	g_animUseRuntime =3D g_showAnimation && animRuntimeInstalled && !(isFullSc=
reen && parent.IsSldVisited());
	if( g_animUseRuntime ) {
		collSeq =3D document.all.tags("seq");
		if( collSeq !=3D null ) {
			for(ii=3D0;ii<collSeq.length;ii++) {
				if( collSeq[ii].getAttribute( "p:nodeType" ) =3D=3D "mainSeq" ) {
					g_animMainSequence =3D collSeq[ii];
					break;
				}
			}
		}
=09
		if( g_animItemsToHide && document.body.playAnimations !=3D false ) {
			for(jj =3D 0; jj < g_animItemsToHide.length; jj++) {
				if( hideObj =3D GetObj(g_animItemsToHide[jj]) )
					hideObj.runtimeStyle.visibility=3D"hidden";
			}
		}

		if( g_animInteractiveItems ){
			for(jj =3D 0; jj < g_animInteractiveItems.length; jj++) {
				if( triggerObj =3D GetObj(g_animInteractiveItems[jj]) )
					triggerObj.runtimeStyle.cursor=3D"hand";
			}
		}
	=09
		if( gUseSldTimings && ''+g_animSlideTime !=3D 'undefined' ) {
			adjustedTime =3D document.body.calculateAutoAdvanceTimes( g_animSlideTim=
e, g_animEffectTimings );
			if( IsWin("PPTSld") && adjustedTime !=3D g_animSlideTime ) {
			   var sld =3D GetCurSld();
			   sld.mAdvDelay =3D adjustedTime * 1000;
			}
		}
	}

	return g_animUseRuntime;
}

gSldJump =3D 0, gSldJumpTrack =3D 0, gSldJumpIdx =3D "";

function _KPH()
{=20
	if( IsNts() ) return;

	if( !parent.IsFramesMode() && event.keyCode =3D=3D 27 && !HideMenu() )
		parent.window.close( self );
	else if( event.keyCode =3D=3D 32 ) {
		if( window.name =3D=3D "PPTSld" )
			parent.PPTSld.DocumentOnClick();
		else
			parent.GoToNextSld();
	}

	CatchNumKeys( parent, event );
}

function CatchNumKeys( win, event ) {
	if( win.IsFullScrMode() && (48<=3Devent.keyCode) && (event.keyCode<=3D57) =
) {
		gSldJump =3D 1;
		gSldJumpIdx +=3D (event.keyCode-48).toString();
	}
	if( win.IsFullScrMode() && gSldJump && event.keyCode =3D=3D 13 ) {
		var numSlds =3D parent.GetSldList().mList.length
		if ( gSldJumpIdx > numSlds )
			gSldJumpIdx =3D numSlds;
		if ( gSldJumpIdx >=3D 0 ) {
			if ( gSldJumpIdx =3D=3D 0 )
				gSldJumpIdx =3D 1;
			var jumpTo =3D parseInt(gSldJumpIdx);
			gSldJump =3D 0; gSldJumpIdx =3D "";
			win.GoToSld( parent.GetSldList().mList[jumpTo-1].mSldHref )
		}
	}
}

function _KDH()
{
	if( event.keyCode =3D=3D 8 ) {
		event.returnValue =3D 0;
		parent.GoToPrevSld();
	}
}
function DocumentOnClick()
{
	if( IsNts() || parent.HideMenu() ) return;
	if( ( g_allowAdvOnClick && !parent.IsFramesMode() ) ||
	    (event && (event.keyCode=3D=3D32) ) )
		parent.GoToNextSld();
}



var g_supportsPPTHTML =3D SupportsPPTHTML(), g_scaleInFrame =3D 1, gId=3D""=
, g_bgSound=3D"",
    g_scaleHyperlinks =3D false, g_allowAdvOnClick =3D 1, g_showInBrowser =
=3D 0, gLoopCont =3D 0, gUseSldTimings =3D 1;
var g_showAnimation =3D g_supportsPPTHTML && SupportsPPTAnimation() && ( (w=
indow.name=3D=3D"PPTSld" && !parent.IsFramesMode()) || g_showInBrowser );va=
r g_animManager =3D null;
var g_animUseRuntime =3D false;
var g_animItemsToHide, g_animInteractiveItems, g_animSlideTime;
var g_animMainSequence =3D null;

var ENDSHOW_MESG=3D"End of slide show, click to exit.", SCREEN_MODE=3D"Fram=
es", gIsEndShow=3D0, NUM_VIS_SLDS=3D69, SCRIPT_HREF=3D"script.js", FULLSCR_=
HREF=3D"fullscreen.htm";
var gCurSld =3D gPrevSld =3D 1, g_offset =3D 0, gNtsOpen =3D gHasNts =3D gO=
tlTxtExp =3D 0, gHasNarration =3D 0, gOtlOpen =3D true
window.gPPTHTML=3DSupportsPPTHTML()
var g_fBaseHyperlink =3D false;
var gMainDoc=3Dnew Array(new hrefList("slide0404.htm",1,-1,1),new hrefList(=
"slide0413.htm",1,-1,1),new hrefList("slide0414.htm",1,-1,1),new hrefList("=
slide0415.htm",1,-1,1),new hrefList("slide0416.htm",1,-1,1),new hrefList("s=
lide0417.htm",1,-1,1),new hrefList("slide0418.htm",1,-1,1),new hrefList("sl=
ide0419.htm",1,-1,1),new hrefList("slide0420.htm",1,-1,1),new hrefList("sli=
de0405.htm",1,-1,1),new hrefList("slide0421.htm",1,-1,1),new hrefList("slid=
e0422.htm",1,-1,1),new hrefList("slide0423.htm",1,-1,1),new hrefList("slide=
0424.htm",1,-1,1),new hrefList("slide0425.htm",1,-1,1),new hrefList("slide0=
426.htm",1,-1,1),new hrefList("slide0427.htm",1,-1,1),new hrefList("slide04=
28.htm",1,-1,1),new hrefList("slide0429.htm",1,-1,1),new hrefList("slide043=
0.htm",1,-1,1),new hrefList("slide0431.htm",1,-1,1),new hrefList("slide0432=
.htm",1,-1,1),new hrefList("slide0433.htm",1,-1,1),new hrefList("slide0434.=
htm",1,-1,1),new hrefList("slide0406.htm",1,-1,1),new hrefList("slide0435.h=
tm",1,-1,1),new hrefList("slide0436.htm",1,-1,1),new hrefList("slide0437.ht=
m",1,-1,1),new hrefList("slide0438.htm",1,-1,1),new hrefList("slide0439.htm=
",1,-1,1),new hrefList("slide0440.htm",1,-1,1),new hrefList("slide0441.htm"=
,1,-1,1),new hrefList("slide0442.htm",1,-1,1),new hrefList("slide0443.htm",=
1,-1,1),new hrefList("slide0444.htm",1,-1,1),new hrefList("slide0408.htm",1=
,-1,1),new hrefList("slide0445.htm",1,-1,1),new hrefList("slide0446.htm",1,=
-1,1),new hrefList("slide0447.htm",1,-1,1),new hrefList("slide0448.htm",1,-=
1,1),new hrefList("slide0449.htm",1,-1,1),new hrefList("slide0450.htm",1,-1=
,1),new hrefList("slide0451.htm",1,-1,1),new hrefList("slide0452.htm",1,-1,=
1),new hrefList("slide0453.htm",1,-1,1),new hrefList("slide0454.htm",1,-1,1=
),new hrefList("slide0455.htm",1,-1,1),new hrefList("slide0456.htm",1,-1,1)=
,new hrefList("slide0457.htm",1,-1,1),new hrefList("slide0411.htm",1,-1,1),=
new hrefList("slide0458.htm",1,-1,1),new hrefList("slide0459.htm",1,-1,1),n=
ew hrefList("slide0460.htm",1,-1,1),new hrefList("slide0461.htm",1,-1,1),ne=
w hrefList("slide0462.htm",1,-1,1),new hrefList("slide0463.htm",1,-1,1),new=
 hrefList("slide0464.htm",1,-1,1),new hrefList("slide0465.htm",1,-1,1),new =
hrefList("slide0412.htm",1,-1,1),new hrefList("slide0466.htm",1,-1,1),new h=
refList("slide0467.htm",1,-1,1),new hrefList("slide0468.htm",1,-1,1),new hr=
efList("slide0469.htm",1,-1,1),new hrefList("slide0472.htm",1,-1,1),new hre=
fList("slide0473.htm",1,-1,1),new hrefList("slide0474.htm",1,-1,1),new href=
List("slide0475.htm",1,-1,1),new hrefList("slide0476.htm",1,-1,1),new hrefL=
ist("slide0477.htm",1,-1,1));

/*********************************************
 Frameset functions

 These functions control slide navigation
 and state of the frameset.
**********************************************/

function RemoveFilePrefixFromHref(href)
{
	var regExp =3D /^file:\/\/\//i;
	return href.replace(regExp, "")
}

function FullScrInit()
{
	g_allowAdvOnClick =3D GetCurSld().mAdvOnClk
	document.body.style.backgroundColor=3D"black"
	document.oncontextmenu=3Dparent._CM;
	document.onkeydown =3D _KDH;
	document.ondragstart=3DCancel
	document.onselectstart=3DCancel
	self.focus()
}

function Redirect( frmId )
{=09
	var str=3Ddocument.location.hash,idx=3Dstr.indexOf('#'), sId=3DGetSldId()
	if(idx>=3D0) str=3Dstr.substr(1);
	if( window.name !=3D frmId && ( sId !=3D str) ) {
		obj =3D GetObj("Main-File")
		window.location.href=3Dobj.href+"#"+sId
		return 1
	}
	return 0
}

var MHTMLPrefix =3D CalculateMHTMLPrefix();=20
function CalculateMHTMLPrefix()
{
	if ( document.location.protocol =3D=3D 'mhtml:') {=20
		href=3Dnew String(document.location.href)=20
		Start=3Dhref.indexOf('!')+1=20
		End=3Dhref.lastIndexOf('/')+1=20
		if (End < Start)=20
			return href.substring(0, Start)=20
		else=20
		return href.substring(0, End)=20
	}
	return '';
}

function GetTags(base,tag)
{
	if(g_supportsPPTHTML) return base.all.tags(tag);
	else return base.getElementsByTagName(tag);
}


function UpdNtsPane(){ if(frames["PPTNts"]) PPTNts.location.replace( MHTMLP=
refix+GetHrefObj( gCurSld ).mNtsHref ) }

function UpdNavPane( sldIndex ){ if(gNavLoaded) PPTNav.UpdNav() }

function UpdOtNavPane(){ if(gOtlNavLoaded) PPTOtlNav.UpdOtlNav() }

function UpdOtlPane(){ if(gOtlLoaded) PPTOtl.UpdOtl() }

function SetHasNts( fVal )
{
	if( gHasNts !=3D fVal ) {
		gHasNts=3DfVal
		UpdNavPane()
	}
}

function ToggleOtlText()
{
	gOtlTxtExp=3D!gOtlTxtExp
	UpdOtlPane()
}

function ClearMedia()
{
	// Clear any sounds playing before launching another browser window. Other=
wise,
	// in fullscreen mode, you'll continue to hear the sound in the frames mod=
e.
	if (PPTSld.pptSound) PPTSld.pptSound.loop =3D 0;
}

function FullScreen()
{=20
	if ( PPTSld.g_animUseRuntime )
		PPTSld.document.body.pause();
	ClearMedia();
	var href =3D ( document.location.protocol =3D=3D 'mhtml:') ? FULLSCR_HREF =
: FULLSCR_HREF+"#"+GetHrefObj(gCurSld).mSldHref;
	if (MHTMLPrefix !=3D "")
		href =3D RemoveFilePrefixFromHref(href)
	if(PPTNav.event.ctrlKey) {
		var w =3D (window.screen.availWidth * 1.0) / 2.0
		var h =3D w * (PPTSld.g_origH * 1.0) / PPTSld.g_origW
		win =3D window.open( MHTMLPrefix+href,null,"toolbar=3D0,resizable=3D1,top=
=3D0,left=3D0," + "width=3D"+ w + ",height=3D" + h );
		if( win.document.body && PPTSld.g_animUseRuntime )
			win.document.body.PPTSldFrameset=3Dwindow;
	}
	else
	{
		win =3D window.open( MHTMLPrefix+href,null,"fullscreen=3Dyes" );
		if( win.document.body && PPTSld.g_animUseRuntime )
			win.document.body.PPTSldFrameset=3Dwindow;
	}
}

function ToggleVNarration()
{
	rObj=3DPPTSld.document.all("NSPlay")
	if( rObj && !PPTSld.g_animUseRuntime ) {
		if( (rObj.playState =3D=3D 1)||(rObj.playState =3D=3D 0) )
			rObj.Play()
		else if( rObj.playState =3D=3D 2 )
			rObj.Pause()
		else
			return;
	}
	else if( PPTSld.g_animUseRuntime )
	{
		narObj =3D PPTSld.document.all("narrationID")
		if( narObj )
			narObj.togglePause()
	}
}

function GetCurSldNum()
{  =20
	obj=3DGetHrefObj(gCurSld)
	if( obj.mOrigVis =3D=3D 1 )
		return obj.mSldIdx
	else  =20
		return gCurSld
}

function GetNumSlds()
{  =20
	if( GetHrefObj(gCurSld).mOrigVis =3D=3D 1 )
		return GetSldList().mNumVisSlds;
	else
		return GetSldList().mList.length
}

function GetSldNum( href )
{
	for(ii=3D0; ii<GetSldList().mList.length; ii++) {
		if ( GetSldList().mList[ii].mSldHref =3D=3D href )
			return ii+1
	}
	return 1
}

function GetHrefObj( sldIdx ){ return GetSldList().mList[sldIdx-1] }

function IsFramesMode(){ return ( SCREEN_MODE =3D=3D "Frames" ) }

function IsFullScrMode(){ return ( SCREEN_MODE =3D=3D "FullScreen" ) }

function GoToNextSld()
{
	ii=3DgCurSld + 1
	if( GetHrefObj( ii-1 ).mOrigVis =3D=3D 0 ) {
		if( ii<=3DGetSldList().mList.length ) {
			obj=3DGetHrefObj(ii)
			obj.mVis=3D1
			GoToSldNum(ii)
			return
		}
	}
	else {
		obj=3DGetHrefObj( ii )
		while ( obj && ( obj.mOrigVis =3D=3D 0 ) )
			obj=3DGetHrefObj(++ii)
		if( obj && obj.mOrigVis ) {
			GoToSldNum(ii)
			return
		}
	}
	if( gSldStack.length > 1 )
		PopSldList();
	else if( !IsFramesMode() ) {
                if( gLoopCont )
			GoToFirst()
                else
			EndShow()
	}
}

function GoToPrevSld()
{
	ii=3DgCurSld-1
	if( ii > 0 ) {
		obj=3DGetHrefObj(ii)
		while ( obj && ( obj.mVis =3D=3D 0 ) && ( ii>0 ) )
			obj=3DGetHrefObj(--ii)
        if( ii =3D=3D 0 ) ii=3D1
		GoToSldNum(ii)
	}
}

function GoToFirst(){ GoToSld( GetHrefObj(1).mSldHref ) }

function GoToLast()
{
	ii=3DGetSldList().mList.length
	if( ii !=3D gCurSld )
		GoToSld( GetHrefObj(ii).mSldHref )
}

function GoToSldNum( num )
{
	if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue
	obj =3D GetHrefObj( num )
	obj.mVis=3D1
	gPrevSld=3DgCurSld
	gCurSld =3D num;
=09
	if (MHTMLPrefix !=3D "")
		PPTSld.location.replace(MHTMLPrefix+RemoveFilePrefixFromHref(obj.mSldHref=
))
	else
		PPTSld.location.replace(obj.mSldHref)
	=09
	if( IsFramesMode() ) {
		UpdNavPane(); UpdOtlPane(); UpdNtsPane()
	}
}

function GoToSld( href )
{
	if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue
	GetHrefObj( GetSldNum(href) ).mVis=3D1
	if (MHTMLPrefix !=3D "")
		PPTSld.location.replace(MHTMLPrefix+RemoveFilePrefixFromHref(href))
	else
		PPTSld.location.replace(href)
}

function SldUpdated( id )
{
	if( id =3D=3D GetHrefObj(gCurSld).mSldHref ) return
	gPrevSld=3DgCurSld
	gCurSld=3DGetSldNum(id)
	if( IsFramesMode() ) {
		UpdNavPane(); UpdOtlPane(); UpdNtsPane()
	}
}

function PrevSldViewed(){ GoToSld( GetHrefObj(gPrevSld).mSldHref ) }
function HasPrevSld() { return ( gIsEndShow || ( gCurSld !=3D 1 && GetHrefO=
bj( gCurSld-1 ).mVis =3D=3D 1 )||( GetCurSldNum() > 1 ) ) }
function HasNextSld() { return (GetCurSldNum() !=3D GetNumSlds()) }

function CloseWindow() {
	if( HideMenu() ) return;
=09
	var event =3D PPTSld.event;
	if( !IsFramesMode() && event && (event.keyCode=3D=3D27 || event.keyCode=3D=
=3D32 || event.type=3D=3D"click" ) )
		window.close( self );
	CatchNumKeys( self, event );
}

function Unload() { gIsEndShow=3D0; }

function SetupEndShow() {
	gIsEndShow=3D1;
	PPTSld.document.body.scroll=3D"no";
	PPTSld.document.onkeypress=3DCloseWindow;
	PPTSld.document.onclick=3DCloseWindow;
	PPTSld.document.oncontextmenu=3D_CM;
}

function EndShow()
{
	if( IsFramesMode() ) return
	if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue

	doc=3DPPTSld.document
	var dir =3D doc.body.dir
	if( dir !=3D "rtl" ) dir =3D "ltr";
	doc.open()
	doc.writeln('<html><body dir=3D' + dir + ' bgcolor=3Dblack onload=3Dparent=
.SetupEndShow() onunload=3Dparent.Unload()><center><p><font face=3DTahoma c=
olor=3Dwhite size=3D2><br><b>' + ENDSHOW_MESG + '</b></font></p></center></=
body></html>')
	doc.close()
}

function SetSldVisited(){ GetSldList().mList[gCurSld-1].mVisited=3Dtrue }

function IsSldVisited(){ return GetSldList().mList[gCurSld-1].mVisited }

function hrefList( sldHref, visible, advDelay, advClk )
{
	this.mSldHref=3D this.mNtsHref =3D sldHref
	this.mOrigVis=3D this.mVis =3D visible
	this.mVisited=3D false
	this.mAdvDelay=3D advDelay
	this.mAdvOnClk=3D advClk
}

function SldList(arr,curSld,fEnd)
{
	this.mCurSld =3D curSld;
	this.mList =3D new Array();

	var idx =3D 1;
	for(ii=3D0;ii<arr.length;ii++) {
		this.mList[ii] =3D new hrefList( arr[ii].mSldHref, arr[ii].mOrigVis, arr[=
ii].mAdvDelay, arr[ii].mAdvOnClk );
		if( arr[ii].mOrigVis )
			this.mList[ii].mSldIdx =3D idx++;
	}
	this.mNumVisSlds =3D idx-1;
	this.fEndShow =3D fEnd;
}

function GetSldList() {	return gSldStack[gSldStack.length-1] }
function GetCurSld() { return parent.GetSldList().mList[parent.gCurSld - 1]=
 }

gSldStack =3D new Array();
gSldStack[0] =3D new SldList(gMainDoc,gCurSld,1)
function ToggleOtlPane()
{
	frmset=3Ddocument.all("PPTHorizAdjust")
	frm=3Ddocument.all("PPTOtl")

	if( gOtlOpen )
		frmset.cols=3D"*,100%"
	else
		frmset.cols=3D"25%,*"

	gOtlOpen=3D!gOtlOpen
	frm.noResize=3D!frm.noResize
	UpdOtNavPane()
}

function ToggleNtsPane()
{
	frmset=3Ddocument.all("PPTVertAdjust")
	frm=3Ddocument.all("PPTNts")

	if( gNtsOpen )
		frmset.rows=3D"100%,*"
	else
		frmset.rows=3D"*,20%"

	gNtsOpen=3D!gNtsOpen
	UpdNtsPane()
}

/*********************************************
Custom Shows implementation

When ViewCustomShow() is called, we create
a new array that is a subset of the slides in=20
the main doc. This list pushed on a stack so
we can return after the end of the custom
show.
*********************************************/
function ViewCustomShow(idx,fEnd)
{
	if( !IsFullScrMode() ) return;
	var sldList =3D new Array();
	var custShow =3D custShowList[idx-1];
	var jj =3D 0;
	for( ii=3D0;ii<custShow.length;ii++ ) {
		if( custShow[ii] <=3D gMainDoc.length )
			sldList[jj++] =3D gMainDoc[custShow[ii]-1];
	}
	if (sldList.length > 0) {
	PushSldList(sldList,fEnd);
	gCurSld =3D 1;
	}
	else
		if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue
}

function PushSldList(arr,fEnd) {
	var ii =3D gSldStack.length;
	gSldStack[ii] =3D new SldList(arr,gCurSld,fEnd);
	GoToSld( gSldStack[ii].mList[0].mSldHref );
}

function PopSldList() {
	if (gSldStack[gSldStack.length-1].fEndShow)
		EndShow()
	else {
	gCurSld =3D gSldStack[gSldStack.length-1].mCurSld;
	gSldStack[gSldStack.length-1] =3D null;
	gSldStack.length--;
	var sldList =3D gSldStack[gSldStack.length-1];
	GoToSld( sldList.mList[gCurSld - 1].mSldHref );
	}
}
var custShowList=3Dnew Array();

/*********************************************
 Navigation button implementation

 There are 2 types of buttons: ImgBtn, TxtBtn
 implemented as function objects. They share
 a similiar interface so the event handlers
 can call SetActive, for example, on a button=20
 object without needing to know exactly=20
 what type of button it is.
**********************************************/

//----------------------------------
function ImgBtn( oId,bId,w,action )
//----------------------------------
{
	var t=3Dthis
	t.Perform    =3D _IBP
	t.SetActive  =3D _IBSetA
	t.SetInactive=3D _IBSetI
	t.SetPressed =3D _IBSetP
	t.SetDisabled=3D _IBSetD
	t.Enabled    =3D _IBSetE
	t.ChangeIcon =3D null
	t.UserAction =3D action
	t.ChgState   =3D _IBUI
	t.mObjId   =3D oId
	t.mBorderId=3D bId
	t.mWidth   =3D w
	t.mIsOn    =3D t.mCurState =3D 0
}

function _IBSetA()
{
	if( this.mIsOn ) {
		obj=3Dthis.ChgState( gHiliteClr,gShadowClr,2 )
		obj.style.posTop=3D0
	}
}

function _IBSetI()
{
	if( this.mIsOn ) {
		obj=3Dthis.ChgState( gFaceClr,gFaceClr,1 )
		obj.style.posTop=3D0=20
	}
}

function _IBSetP()
{
	if( this.mIsOn ) {
		obj=3Dthis.ChgState( gShadowClr,gHiliteClr,2 )
		obj.style.posLeft+=3D1; obj.style.posTop+=3D1
	}
}

function _IBSetD()
{ =20
	obj=3Dthis.ChgState( gFaceClr,gFaceClr,0 )
	obj.style.posTop=3D0=20
}

function _IBSetE( state )
{
	var t=3Dthis
	GetObj( t.mBorderId ).style.visibility=3D"visible"
	if( state !=3D t.mIsOn ) {
		t.mIsOn=3Dstate
		if( state )
			t.SetInactive()
		else
			t.SetDisabled()
	}
}

function _IBP()
{
	var t=3Dthis
	if( t.mIsOn ) {
		if( t.UserAction !=3D null )
			t.UserAction()
		if( t.ChangeIcon ) {
			obj=3DGetObj(t.mObjId)
			if( t.ChangeIcon() )
				obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-4)*t.mWidth
			else
				obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-0)*t.mWidth
		}
		t.SetActive()
	} =20
}

function _IBUI( clr1,clr2,nextState )
{
	var t=3Dthis
	SetBorder( GetObj( t.mBorderId ),clr1,clr2 )
	obj=3DGetObj( t.mObjId )
	obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-nextState)*t.mWidth-obj=
.style.posTop
	t.mCurState=3DnextState
	return obj
}

//-----------------------------------------
function TxtBtn( oId,oeId,action,chkState )
//-----------------------------------------
{
	var t=3Dthis
	t.Perform    =3D _TBP
	t.SetActive  =3D _TBSetA
	t.SetInactive=3D _TBSetI
	t.SetPressed =3D _TBSetP
	t.SetDisabled=3D _TBSetD
	t.SetEnabled =3D _TBSetE
	t.GetState   =3D chkState
	t.UserAction =3D action
	t.ChgState   =3D _TBUI
	t.mObjId      =3D oId
	t.m_elementsId=3D oeId
	t.mIsOn       =3D 1
}

function _TBSetA()
{
	var t=3Dthis
	if( t.mIsOn && !t.GetState() )
		t.ChgState( gHiliteClr,gShadowClr,0,0 )
}

function _TBSetI()
{
	var t=3Dthis
	if( t.mIsOn && !t.GetState() )
		t.ChgState( gFaceClr,gFaceClr,0,0 )
}

function _TBSetP()
{
	if( this.mIsOn )
		this.ChgState( gShadowClr,gHiliteClr,1,1 )
}

function _TBSetD()
{  =20
	this.ChgState( gFaceClr,gFaceClr,0,0 )
	this.mIsOn =3D 0
}

function _TBSetE()
{
	var t=3Dthis
	if( !t.GetState() )
		t.ChgState( gFaceClr,gFaceClr,0,0 )
	else
		t.ChgState( gShadowClr,gHiliteClr,1,1 )
	t.mIsOn =3D 1
}

function _TBP()
{
	var t=3Dthis
	if( t.mIsOn ) {=20
		if( t.UserAction !=3D null )
			t.UserAction()
        if( !t.GetState )
            return
		if( t.GetState() )
			t.SetPressed()
		else
			t.SetActive()
	} =20
}

function _TBUI( clr1,clr2,lOffset,tOffset )
{
	SetBorder( GetObj( this.mObjId ),clr1,clr2 )
	Offset( GetObj( this.m_elementsId ),lOffset,tOffset )
}

function Offset( obj, top, left ){ obj.style.top=3Dtop; obj.style.left=3Dle=
ft }

function SetBorder( obj, upperLeft, lowerRight )
{
	s=3Dobj.style;
	s.borderStyle      =3D "solid"
	s.borderWidth      =3D 1=20
	s.borderLeftColor  =3D s.borderTopColor =3D upperLeft
	s.borderBottomColor=3D s.borderRightColor =3D lowerRight
}

function GetBtnObj(){ return gBtnArr[window.event.srcElement.id] }

function BtnOnOver(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetActive() }

function BtnOnDown(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetPressed() }

function BtnOnOut(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetInactive() }

function BtnOnUp()
{
	b=3DGetBtnObj()
	if( b !=3D null )
		b.Perform()
	else
		Upd()
}
function GetNtsState(){ return parent.gNtsOpen }

function GetOtlState(){ return parent.gOtlOpen }

function GetOtlTxtState(){ return parent.gOtlTxtExp }

function NtsBtnSetFlag( fVal )
{
	s=3Ddocument.all.item( this.m_flagId ).style
	s.display=3D"none"
	if( fVal )
		s.display=3D""
	else
		s.display=3D"none"
}

function _BSetA_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S=
etActive() }

function _BSetI_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S=
etInactive() }

function _BSetP_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S=
etPressed() }

function _BSetA_BorderImg()
{=20
	b =3D gBtnArr[this.mBorderId]=20
	if( b !=3D null && this.mIsOn && !b.GetState() ) {
		obj=3Dthis.ChgState( gHiliteClr,gShadowClr,2 )
		obj.style.posTop=3D0
	}
}

function _BSetI_BorderImg()
{=20
	b =3D gBtnArr[this.mBorderId]
	if( b !=3D null && this.mIsOn && !b.GetState() ) {
		obj=3Dthis.ChgState( gFaceClr,gFaceClr,1 )
		obj.style.posTop=3D0
	}
}


var gHiliteClr=3D"THREEDHIGHLIGHT",gShadowClr=3D"THREEDSHADOW",gFaceClr=3D"=
THREEDFACE"
var gBtnArr =3D new Array()
gBtnArr["nb_otl"] =3D new TxtBtn( "nb_otl","nb_otlElem",parent.ToggleOtlPan=
e,GetOtlState )
gBtnArr["nb_otlElem"] =3D new TxtBtn( "nb_otl","nb_otlElem",parent.ToggleOt=
lPane,GetOtlState )
gBtnArr["nb_nts"] =3D new ImgBtn( "nb_nts","nb_ntsBorder",10,parent.ToggleN=
tsPane )
gBtnArr["nb_nts"].SetActive =3D _BSetA_BorderImg;
gBtnArr["nb_nts"].SetInactive =3D _BSetI_BorderImg;
gBtnArr["nb_ntsBorder"] =3D new TxtBtn( "nb_ntsBorder","nb_ntsElem",parent.=
ToggleNtsPane,GetNtsState )
gBtnArr["nb_ntsElem"] =3D new TxtBtn( "nb_ntsBorder","nb_ntsElem",parent.To=
ggleNtsPane,GetNtsState )
gBtnArr["nb_prevBorder"] =3D gBtnArr["nb_prev"]=3D new ImgBtn( "nb_prev","n=
b_prevBorder",30,parent.GoToPrevSld )
gBtnArr["nb_nextBorder"] =3D gBtnArr["nb_next"]=3D new ImgBtn( "nb_next","n=
b_nextBorder",30,parent.GoToNextSld )
gBtnArr["nb_sldshw"]=3D new ImgBtn( "nb_sldshw","nb_sldshwBorder",18,parent=
.FullScreen )
gBtnArr["nb_sldshwBorder"] =3D new TxtBtn( "nb_sldshw","nb_sldshwBorder",pa=
rent.FullScreen,null )
gBtnArr["nb_sldshwBorder"].SetActive =3D _BSetA_Border;
gBtnArr["nb_sldshwBorder"].SetInactive =3D _BSetI_Border;
gBtnArr["nb_sldshwText"] =3D new TxtBtn( "nb_sldshw","nb_sldshwText",parent=
.FullScreen,null )
gBtnArr["nb_sldshwText"].SetActive =3D _BSetA_Border;
gBtnArr["nb_sldshwText"].SetInactive =3D _BSetI_Border;
gBtnArr["nb_voice"] =3D gBtnArr["nb_voiceBorder"] =3D new ImgBtn( "nb_voice=
","nb_voiceBorder",18,parent.ToggleVNarration )
gBtnArr["nb_otlTxtBorder"] =3D gBtnArr["nb_otlTxt"]=3D new ImgBtn( "nb_otlT=
xt","nb_otlTxtBorder",23,parent.ToggleOtlText )
gBtnArr["nb_ntsBorder"].m_flagId=3D "nb_nts"
gBtnArr["nb_ntsBorder"].SetFlag =3D NtsBtnSetFlag
gBtnArr["nb_otlTxt"].ChangeIcon=3D GetOtlTxtState

/*********************************************
 Context menu implementation

 _CM() is the function that's hooked up to
 the oncontextmenu event. Once we're asked to
 show the menu, we first build it by creating
 DIVs on-the-fly. Then we position it=20
 within the screen area so it doesn't get
 clipped.

 Creating the DIVs using createElement() means
 we don't have to write out any extra HTML
 into the slide HTML files.
**********************************************/
var sNext=3D"Next",sPrev=3D"Previous",sEnd=3D"End Show",sFont=3D"Arial",sAr=
row=3D"Arrow",sFreeform=3D"Freeform",sRect=3D"Rectangle",sOval=3D"Oval"

function ShowMenu()
{
	BuildMenu();
	var doc=3DPPTSld.document.body,x=3DPPTSld.event.clientX+doc.scrollLeft,y=
=3DPPTSld.event.clientY+doc.scrollTop
	m =3D PPTSld.document.all.item("ctxtmenu")
	m.style.pixelLeft=3Dx
	if( (x+m.scrollWidth > doc.clientWidth)&&(x-m.scrollWidth > 0) )
		m.style.pixelLeft=3Dx-m.scrollWidth

	m.style.pixelTop=3Dy
	if( (y+m.scrollHeight > doc.clientHeight)&&(y-m.scrollHeight > 0) )
		m.style.pixelTop=3Dy-m.scrollHeight

	m.style.display=3D""
}

function _CM()
{
	if( !parent.IsFullScrMode() ) return;
	if(!PPTSld.event.ctrlKey) {
		ShowMenu()
		return false
	} else
		HideMenu()
}

function BuildMenu()
{
	if( PPTSld.document.all.item("ctxtmenu") ) return

	var mObj=3DCreateItem( PPTSld.document.body )
	mObj.id=3D"ctxtmenu"
	mObj.style.visibility=3D"hidden"
	var s=3DmObj.style
	s.position=3D"absolute"
	s.cursor=3D"default"
	s.width=3D"120px"
	SetCMBorder(mObj,"menu","black")

	var iObj=3DCreateItem( mObj )
	SetCMBorder( iObj, "threedhighlight","threedshadow" )
	iObj.style.padding=3D2
	CreateMenuItem( iObj,sNext,M_GoNextSld,M_True )
	CreateMenuItem( iObj,sPrev,M_GoPrevSld,M_HasPrevSld )
=09
	CreateSeparator( iObj )
	CreateMenuItem( iObj,sEnd,M_End,M_True )
	mObj.style.visibility=3D"visible"
}

function Cancel() { window.event.cancelBubble=3Dtrue; window.event.returnVa=
lue=3Dfalse }

function Highlight() { ChangeClr("activecaption","threedhighlight") }

function Deselect() { ChangeClr("threedface","menutext") }

function Perform()
{
	e=3DPPTSld.event.srcElement
	if( e.type=3D=3D"menuitem" && e.IsActive() )
		e.Action()
	else
		PPTSld.event.cancelBubble=3Dtrue
}
function ChangeClr( bg,clr )
{
	e=3DPPTSld.event.srcElement
	if( e.type=3D=3D"menuitem" && e.IsActive() ) {
		e.style.backgroundColor=3Dbg
		e.style.color=3Dclr
	}
}

function M_HasPrevSld() { return( parent.HasPrevSld() ) }

function M_GoNextSld() { if( gIsEndShow ) M_End(); else GoToNextSld() }

function M_GoPrevSld() { if( gIsEndShow ) { gIsEndShow=3D0; history.back();=
 PPTSld.event.cancelBubble=3Dtrue; } else GoToPrevSld() }

function M_True() { return true }

function M_End() { window.close( self ) }

function CreateMenuItem( node,text,action,eval )
{
	var e=3DCreateItem( node )
	e.type=3D"menuitem"
	e.Action=3Daction
	e.IsActive=3Deval
	e.innerHTML=3Dtext

	if( !e.IsActive() )
		e.style.color=3D"threedshadow"

	e.onclick=3DPerform
	e.onmouseover=3DHighlight
	e.onmouseout=3DDeselect
	s=3De.style;
	s.fontFamily=3DsFont
	s.fontSize=3D"9pt"
	s.paddingLeft=3D2
}

function CreateSeparator( node )
{
	var sObj=3DCreateItem( node )
	SetCMBorder(sObj,"menu","menu")
	var s=3DsObj.style
	s.borderTopColor=3D"threedshadow"
	s.borderBottomColor=3D"threedhighlight"
	s.height=3D1
	s.fontSize=3D"0px"
}

function CreateItem( node )
{
	var elem=3DPPTSld.document.createElement("DIV")
	node.insertBefore( elem )
	return elem
}

function SetCMBorder( o,ltClr,rbClr )
{
	var s=3Do.style
	s.backgroundColor=3D"menu"
	s.borderStyle=3D"solid"
	s.borderWidth=3D1
	s.borderColor=3DltClr+" "+rbClr+" "+rbClr+" "+ltClr
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<script src=3Dscript.js></script><script><!--

if( !(IsWin("PPTOtl")||IsWin("PPTNav")||IsWin("PPTOtlNav")) )
{
	obj =3D GetObj("Main-File")
	parent.location.href=3Dobj.href
}

var gOtlHiliteClr=3D"#ffffff",gOtlNormalClr=3D"#000000",gOtlActiveClr=3D"#f=
fff00",gSelected=3D"",gTxtState=3Dfalse,gChildEntryTable=3Dnew Array()

function Load()
{
	if( IsWin("PPTOtl" ) ){ LoadOtl(); parent.gOtlLoaded=3Dtrue; return }
	if( g_supportsPPTHTML ) {
		if( IsWin("PPTNav" ) ){ LoadNav("NavObj",UpdNav); parent.gNavLoaded=3Dtru=
e; return }
		if( IsWin("PPTOtlNav" ) ){ LoadNav("OtlNavObj",UpdOtlNav); parent.gOtlNav=
Loaded=3Dtrue; return }
	}
}
function Upd(){ if( IsWin("PPTNav") ) LoadNav("NavObj",UpdNav) }
function LoadNav( oId,UpdFunc )
{
	document.ondragstart=3DCancelDrag
	document.onselectstart=3DCancelDrag
	document.body.style.margin=3D2
	UpdFunc()
	obj=3Ddocument.all.item(oId)
	obj.style.display=3D"block"
	obj.style.visibility=3D"visible"
	document.bgColor=3D"threedface"

	if( parent.frames["PPTNts"] )
		notesBtn.style.display =3D ""
	if( parent.gHasNarration )
		nb_voiceBorder.style.display =3D ""
}
function LoadOtl()
{
	var otl=3DGetObj("OtlObj")
	otl.style.display=3D"block"
	otl.style.visibility=3D"visible"
	if( gOtlActiveClr =3D=3D "" ) gOtlActiveClr=3Ddocument.linkColor
	if( gOtlHiliteClr =3D=3D "" ) gOtlHiliteClr=3Ddocument.fgColor
	if( gOtlNormalClr =3D=3D "" )
		gOtlNormalClr=3Ddocument.bgColor
	else
		document.bgColor=3DgOtlNormalClr =20

	InitArray()

	if( ObjExists( parent.gCurSld ) ) {
		ChangeState( parent.gCurSld,gOtlNormalClr,gOtlHiliteClr )
		gSelected=3Dparent.gCurSld
	}
	else gSelected =3D -1

	UpdOtl()
}
function UpdOtl(){ UpdIdx(parent.gCurSld) }
function UpdIdx( idx )
{
	if( gSelected !=3D idx ) {
		if( gSelected > 0 )
			ChangeState( gSelected,gOtlHiliteClr,gOtlNormalClr )

		if( ObjExists( idx ) ) {
			gSelected =3D idx
			ChangeState( gSelected,gOtlNormalClr,gOtlHiliteClr )
		}
		else gSelected =3D -1
	}

	if( gTxtState !=3D parent.gOtlTxtExp ) {
		state =3D "block"
		if( !parent.gOtlTxtExp )
			state=3D"none"

		for(ii=3D0; ii<gChildEntryTable.length; ii++) {
			obj=3DgChildEntryTable[ii];
			if( obj.id =3D=3D null ) continue;

			if( obj.id.indexOf("PPTC") >=3D 0 )
				obj.style.display=3Dstate;
		}=20
		gTxtState=3Dparent.gOtlTxtExp
		if( ObjExists( gSelected ) )
			ChangeState( gSelected,gOtlNormalClr,gOtlHiliteClr )
	}
}
function InitArray()
{
	count=3D0
	var list=3DGetTags(document,"DIV");
	for(ii=3D0; ii<list.length; ii++) {
		obj=3Dlist.item(ii)
		if( obj.id =3D=3D null ) continue

		if( obj.id.indexOf("PPTC") >=3D 0 ) =20
			gChildEntryTable[count++]=3Dobj
	}
}
function ChangeState( idx,fgColor,bgColor )
{
	obj=3DGetObj("PPTL"+idx)
	obj.style.color=3DfgColor

	obj=3DGetObj("PPTP"+idx)
	obj.style.backgroundColor=3DbgColor
}
function ChgClr( o,clr ){ if( o.id !=3D "PPTL"+gSelected ) o.style.color=3D=
clr }
function Over( src ){ ChgClr(GetLink(src),gOtlActiveClr) }
function Out( src ){ ChgClr(GetLink(src),gOtlHiliteClr) }
function Follow(src){ window.location.href =3D GetLink(src).href; }
function ObjExists( ii ) { obj=3DGetObj("PPTP"+ii ); return( obj ) }
function GoToSld( href ){ UpdIdx(parent.GetSldNum(href)); parent.GoToSld( h=
ref ) }
function CancelDrag(){ window.event.cancelBubble=3Dtrue;window.event.return=
Value=3Dfalse}
function GetLink(src)
{
   if(src.tagName=3D=3D"A") return src
   else return GetTags(src,"A").item(0)
}

function UpdNav()
{
	txt =3D "<center>";
	if( parent.GetHrefObj( parent.gCurSld ).mOrigVis =3D=3D 1 )
		txt +=3D "Slide " + parent.GetCurSldNum() + " of " + parent.GetNumSlds()
	else
		txt +=3D "Hidden Slide"
	txt +=3D "</center>";
	nav_text.innerHTML =3D txt;

	if( !parent.HasPrevSld() )
		gBtnArr["nb_prev"].Enabled(0)
	else
		gBtnArr["nb_prev"].Enabled(1)

	if( !parent.HasNextSld() )
		gBtnArr["nb_next"].Enabled(0)
	else
		gBtnArr["nb_next"].Enabled(1)
	gBtnArr["nb_nts"].Enabled(1)
	gBtnArr["nb_ntsBorder"].SetFlag( parent.gHasNts )

	gBtnArr["nb_sldshw"].Enabled(1)
	gBtnArr["nb_voice"].Enabled(1)
}

function ExecBtn()
{
	if (event.keyCode =3D=3D 13)
	{
		BtnOnDown();
		BtnOnUp();
	}
}
function UpdOtlNav()
{
	gBtnArr["nb_otl"].SetEnabled();

	if( parent.gOtlOpen )
		gBtnArr["nb_otlTxt"].Enabled( true );
	else
		document.all.item("nb_otlTxtBorder").style.visibility =3D "hidden";
}




//--></script>
<style>
<!--.PTxt
	{position:relative;
	width:100%;
	margin-top:5px;
	padding-left:2px;
	font-weight:bold;}
.CTxt
	{position:relative;
	width:100%;
	margin-top:5px;}
a
	{color:white;
	text-decoration:none;}
ul
	{color:white;
	margin-bottom:0px;
	margin-left:20px;}
.sldNum
	{margin-top:5px;
	color:white;}
.button
	{position:absolute;
	width:32px;
	height:20px;
	border-style:solid;
	border-width:1px;
	border-color:threedface;}
-->
</style>
</head>

<body onload=3D"Load()" style=3D'margin:2px'>

<div id=3DNavObj onload=3D"Load()" onmouseover=3D"BtnOnOver()"
onmousedown=3D"BtnOnDown()" onmouseout=3D"BtnOnOut()" onmouseup=3D"BtnOnUp(=
)"
onkeypress=3D"ExecBtn()" style=3D'display:none;visibility:hidden'>
<table id=3D"notesBtn" style=3D'display:none;position:relative;width:55px' =
align=3Dleft cellpadding=3D0
 cellspacing=3D0>
 <td nowrap>
 <div id=3D"nb_ntsElem" title=3D"Show/Hide
Notes" align=3Dcenter style=3D'position:relative;margin-left:5px;margin-rig=
ht:5px;padding:3px;
 font-family:Arial;color:buttontext;font-size:9pt; cursor:default'>
 <img src=3D"notes_flag.gif" id=3D"nb_nts" style=3D'display:none'> &nbsp;No=
tes</div>
 <div id=3D"nb_ntsBorder" title =3D"Show/Hide
Notes" onfocus=3D"BtnOnOver()" onblur=3D"BtnOnOut()" TABINDEX=3D1 style=3D'=
position:absolute;top:0%;left:0%;width:100%;height:20px'>

 </div>
 </td>
</table>


<table style=3D'position:relative;width:70px' align=3Dright cellpadding=3D0=
 cellspacing=3D0>
 <td nowrap>
 <div id=3D"nb_sldshwText" title=3D"Full Screen Slide Show" align=3Dcenter =
style=3D'position:relative;margin-left:20px;padding:3px;
 font-family:Arial;color:buttontext;font-size:9pt;cursor:default'>Slide
Show</div>
 <div id=3D"nb_sldshwBorder" title=3D"Full Screen Slide Show" onfocus=3D"Bt=
nOnOver()" onblur=3D"BtnOnOut()" TABINDEX=3D5 style=3D'position:absolute;to=
p:0%;left:0%;width:100%;height:20px'>
 <div style=3D'position:absolute;clip:rect(0px, 18px, 18px, 0px)'><img
 src=3D"buttons.gif" id=3D"nb_sldshw" style=3D'position:relative;left:-254p=
x'></div>
 </div>
 </td>
 <td>
 <div id=3D"nb_voiceBorder" style=3D'display:none;position:absolute;top:0;l=
eft:-40px;
 width:20px;height:20px' onfocus=3D"BtnOnOver()" onblur=3D"BtnOnOut()" TABI=
NDEX=3D4 class=3Dbutton>
 <div style=3D'position:absolute;clip:rect(0px, 18px, 18px, 0px)'><img
 src=3D"buttons.gif" id=3D"nb_voice" title=3D"Pause/Play Narration" style=
=3D'position:
 relative;left:-290px'></div>
 </div>
 </td>
</table>

<table style=3D'position:relative' align=3Dcenter cellpadding=3D0 cellspaci=
ng=3D0>
 <td nowrap>
 <div id=3D"nb_prevBorder" onfocus=3D"BtnOnOver()" onblur=3D"BtnOnOut()" TA=
BINDEX=3D2 class=3Dbutton style=3D'left:-30px'>
 <div style=3D'position:absolute;clip:rect(0px, 30px, 18px, 0px)'><img
 src=3D"buttons.gif" id=3D"nb_prev" title=3D"Previous Slide" style=3D'posit=
ion:relative;
 left:0px'></div>
 </div>
 <span id=3D"nav_text" style=3D'position:relative;top:3px;width:100px;font-=
family:
 Arial;color:buttontext;font-size:9pt'></span>
 <div id=3D"nb_nextBorder" onfocus=3D"BtnOnOver()" onblur=3D"BtnOnOut()" TA=
BINDEX=3D3 class=3Dbutton>
 <div style=3D'position:absolute;clip:rect(0px, 30px, 18px, 0px)'><img
 src=3D"buttons.gif" id=3D"nb_next" title=3D"Next Slide" style=3D'position:=
relative;
 left:-90px'></div>
 </div>
 </td>
</table>
</div>

<div id=3DOtlNavObj onload=3D"Load()" onmouseover=3D"BtnOnOver()"
onmousedown=3D"BtnOnDown()" onmouseout=3D"BtnOnOut()" onmouseup=3D"BtnOnUp(=
)"
onkeypress=3D"ExecBtn()" style=3D'display:none;visibility:hidden'>

<table style=3D'position:relative;width:70px' align=3Dleft cellpadding=3D0 =
cellspacing=3D0>
 <td nowrap><div title=3D"Show/Hide
Outline" id=3D"nb_otl" onfocus=3D"BtnOnOver()" onblur=3D"BtnOnOut()" TABIND=
EX=3D11
 style=3D'position:absolute;top:0%;left:0%;width:100%;height:100%;cursor:de=
fault'>
 <div id=3D"nb_otlElem" align=3Dcenter style=3D'position:relative;padding:3=
px;font-family:Arial;
 color:buttontext;font-size:9pt'>Outline</div></div>
 </td>
</table>

<table style=3D'position:relative' align=3Dcenter cellpadding=3D0 cellspaci=
ng=3D0>
 <td>
 <div style=3D'position:absolute;left:-18px;width:24px;height:20px;border-s=
tyle:
 solid;border-width:1px;border-color:threedface' onfocus=3D"BtnOnOver()" on=
blur=3D"BtnOnOut()" TABINDEX=3D12 id=3D"nb_otlTxtBorder">
 <div style=3D'position:absolute;clip:rect(0px, 22px, 18px, 0px)'><img
 src=3Dbuttons.gif id=3D"nb_otlTxt" title=3D"Expand/Collapse Outline"
 style=3D'position:relative;left:-157px'></div>
 </div>
 </td>
</table>

</div>

<div id=3DOtlObj style=3D'display:none;visibility:hidden;'>


<table width=3D"100%" style=3D'font-family:Arial;font-size:9pt'>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>1</font></div>
  </td>
  <td width=3D"100%">
  <div id=3DPPTP1 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0404.htm');" id=3DPPTL1><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>2</font></div>
  </td>
  <td>
  <div id=3DPPTP2 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0413.htm');" id=3DPPTL2><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>3</font></div>
  </td>
  <td>
  <div id=3DPPTP3 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0414.htm');" id=3DPPTL3><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>4</font></div>
  </td>
  <td>
  <div id=3DPPTP4 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0415.htm');" id=3DPPTL4><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>5</font></div>
  </td>
  <td>
  <div id=3DPPTP5 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0416.htm');" id=3DPPTL5><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>6</font></div>
  </td>
  <td>
  <div id=3DPPTP6 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0417.htm');" id=3DPPTL6><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>7</font></div>
  </td>
  <td>
  <div id=3DPPTP7 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0418.htm');" id=3DPPTL7><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>8</font></div>
  </td>
  <td>
  <div id=3DPPTP8 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0419.htm');" id=3DPPTL8><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>9</font></div>
  </td>
  <td>
  <div id=3DPPTP9 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0420.htm');" id=3DPPTL9><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>10</font></div>
  </td>
  <td>
  <div id=3DPPTP10 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0405.htm');" id=3DPPTL10><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>11</font></div>
  </td>
  <td>
  <div id=3DPPTP11 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0421.htm');" id=3DPPTL11><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>12</font></div>
  </td>
  <td>
  <div id=3DPPTP12 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0422.htm');" id=3DPPTL12><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>13</font></div>
  </td>
  <td>
  <div id=3DPPTP13 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0423.htm');" id=3DPPTL13><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>14</font></div>
  </td>
  <td>
  <div id=3DPPTP14 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0424.htm');" id=3DPPTL14><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>15</font></div>
  </td>
  <td>
  <div id=3DPPTP15 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0425.htm');" id=3DPPTL15><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>16</font></div>
  </td>
  <td>
  <div id=3DPPTP16 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0426.htm');" id=3DPPTL16><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>17</font></div>
  </td>
  <td>
  <div id=3DPPTP17 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0427.htm');" id=3DPPTL17><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>18</font></div>
  </td>
  <td>
  <div id=3DPPTP18 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0428.htm');" id=3DPPTL18><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>19</font></div>
  </td>
  <td>
  <div id=3DPPTP19 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0429.htm');" id=3DPPTL19><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>20</font></div>
  </td>
  <td>
  <div id=3DPPTP20 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0430.htm');" id=3DPPTL20><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>21</font></div>
  </td>
  <td>
  <div id=3DPPTP21 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0431.htm');" id=3DPPTL21><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>22</font></div>
  </td>
  <td>
  <div id=3DPPTP22 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0432.htm');" id=3DPPTL22><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>23</font></div>
  </td>
  <td>
  <div id=3DPPTP23 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0433.htm');" id=3DPPTL23><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>24</font></div>
  </td>
  <td>
  <div id=3DPPTP24 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0434.htm');" id=3DPPTL24><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>25</font></div>
  </td>
  <td>
  <div id=3DPPTP25 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0406.htm');" id=3DPPTL25><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>26</font></div>
  </td>
  <td>
  <div id=3DPPTP26 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0435.htm');" id=3DPPTL26><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>27</font></div>
  </td>
  <td>
  <div id=3DPPTP27 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0436.htm');" id=3DPPTL27><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>28</font></div>
  </td>
  <td>
  <div id=3DPPTP28 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0437.htm');" id=3DPPTL28><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>29</font></div>
  </td>
  <td>
  <div id=3DPPTP29 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0438.htm');" id=3DPPTL29><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>30</font></div>
  </td>
  <td>
  <div id=3DPPTP30 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0439.htm');" id=3DPPTL30><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>31</font></div>
  </td>
  <td>
  <div id=3DPPTP31 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0440.htm');" id=3DPPTL31><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>32</font></div>
  </td>
  <td>
  <div id=3DPPTP32 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0441.htm');" id=3DPPTL32><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>33</font></div>
  </td>
  <td>
  <div id=3DPPTP33 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0442.htm');" id=3DPPTL33><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>34</font></div>
  </td>
  <td>
  <div id=3DPPTP34 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0443.htm');" id=3DPPTL34><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>35</font></div>
  </td>
  <td>
  <div id=3DPPTP35 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0444.htm');" id=3DPPTL35><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>36</font></div>
  </td>
  <td>
  <div id=3DPPTP36 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0408.htm');" id=3DPPTL36><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>37</font></div>
  </td>
  <td>
  <div id=3DPPTP37 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0445.htm');" id=3DPPTL37><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>38</font></div>
  </td>
  <td>
  <div id=3DPPTP38 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0446.htm');" id=3DPPTL38><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>39</font></div>
  </td>
  <td>
  <div id=3DPPTP39 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0447.htm');" id=3DPPTL39><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>40</font></div>
  </td>
  <td>
  <div id=3DPPTP40 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0448.htm');" id=3DPPTL40><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>41</font></div>
  </td>
  <td>
  <div id=3DPPTP41 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0449.htm');" id=3DPPTL41><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>42</font></div>
  </td>
  <td>
  <div id=3DPPTP42 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0450.htm');" id=3DPPTL42><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>43</font></div>
  </td>
  <td>
  <div id=3DPPTP43 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0451.htm');" id=3DPPTL43><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>44</font></div>
  </td>
  <td>
  <div id=3DPPTP44 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0452.htm');" id=3DPPTL44><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>45</font></div>
  </td>
  <td>
  <div id=3DPPTP45 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0453.htm');" id=3DPPTL45><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>46</font></div>
  </td>
  <td>
  <div id=3DPPTP46 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0454.htm');" id=3DPPTL46><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>47</font></div>
  </td>
  <td>
  <div id=3DPPTP47 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0455.htm');" id=3DPPTL47><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>48</font></div>
  </td>
  <td>
  <div id=3DPPTP48 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0456.htm');" id=3DPPTL48><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>49</font></div>
  </td>
  <td>
  <div id=3DPPTP49 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0457.htm');" id=3DPPTL49><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>50</font></div>
  </td>
  <td>
  <div id=3DPPTP50 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0411.htm');" id=3DPPTL50><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>51</font></div>
  </td>
  <td>
  <div id=3DPPTP51 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0458.htm');" id=3DPPTL51><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>52</font></div>
  </td>
  <td>
  <div id=3DPPTP52 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0459.htm');" id=3DPPTL52><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>53</font></div>
  </td>
  <td>
  <div id=3DPPTP53 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0460.htm');" id=3DPPTL53><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>54</font></div>
  </td>
  <td>
  <div id=3DPPTP54 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0461.htm');" id=3DPPTL54><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>55</font></div>
  </td>
  <td>
  <div id=3DPPTP55 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0462.htm');" id=3DPPTL55><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>56</font></div>
  </td>
  <td>
  <div id=3DPPTP56 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0463.htm');" id=3DPPTL56><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>57</font></div>
  </td>
  <td>
  <div id=3DPPTP57 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0464.htm');" id=3DPPTL57><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>58</font></div>
  </td>
  <td>
  <div id=3DPPTP58 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0465.htm');" id=3DPPTL58><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>59</font></div>
  </td>
  <td>
  <div id=3DPPTP59 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0412.htm');" id=3DPPTL59><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>60</font></div>
  </td>
  <td>
  <div id=3DPPTP60 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0466.htm');" id=3DPPTL60><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>61</font></div>
  </td>
  <td>
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