MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_01C96F59.83069930" This document is a Web archive file. If you are seeing this message, this means your browser or editor doesn't support Web archive files. For more information on the Web archive format, go to http://officeupdate.microsoft.com/office/webarchive.htm ------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions

This presentation contains content that your browser may not be able to = show properly. This presentation was optimized for more recent versions of Micro= soft Internet Explorer.

If you would like to proceed anyway, click here.

 ------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/master06.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii"
Click to edit Master title style
Clic= k to edit Master text styles
Sec= ond level
Thi= rd level
Fou= rth level
Fif= th level
‹date/time›
‹footer›
‹#›
------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/master06.xml Content-Transfer-Encoding: quoted-printable Content-Type: text/xml; charset="utf-8" ------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/preview.wmf Content-Transfer-Encoding: base64 Content-Type: image/x-wmf AQAJAAAD0QAAAAUAKAAAAAAABAAAAAMBCAAFAAAACwIAAAAABQAAAAwC7wLpAwMAAAAeAAcAAAD8 AgAA////AAAABAAAAC0BAAAIAAAA+gIFAAAAAAD///8ABAAAAC0BAQAMAAAAQAkhAPAAAAAAAAAA 7wLpA/////8IAAAA+gIAAAAAAAAAAAAABAAAAC0BAgAEAAAALQEAAAQAAAAnAf//HAAAAPsC1P8A AAAAAACQAQAAAAAAQAAAQXJpYWwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAAAALQEDAAQA AAAuARgABAAAAAIBAQAFAAAACQIAAAACKAAAADIKOQAlARYAAABQb2x5bm9taWFsIEV4cHJlc3Np b25zHQAYAAsAFgAZABgAJgAKABgACgAMAB0AFgAZAA8AGQAWABYACgAZABgAFgAEAAAALgEAABwA AAD7AhAABwAAAAAAvAIAAAAAAQICIlN5c3RlbQAAAAAAABgAAAAsnhMAAQAAAOQEAAAAAAAABAAA AC0BBAAEAAAA8AEDAAMAAAAAAA== ------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/pres.xml Content-Transfer-Encoding: quoted-printable Content-Type: text/xml; charset="utf-8" ------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/slide0207.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
Polynomial Expressions
------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/slide0227.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
In the last section, we introdu= ced the polynomial expressions.
=
        = ;     #xN ± #xN-1 ± … ± #x ± #
Polynomial Expressions
------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/slide0217.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
In the last section, we introdu= ced the polynomial expressions. Given a polynomials, each monom= ial is called a term.
        = ;     #xN ± #xN-1 ± … ± #x ± #
terms
Polynomial Expressions
------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/slide0218.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
Terms with the same variable pa= rt are called like-terms.
In the last section, we introdu= ced the polynomial expressions. Given a polynomials, each monom= ial is called a term.
        = ;     #xN ± #xN-1 ± … ± #x ± #
terms
Polynomial Expressions
------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/slide0219.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
Terms with the same variable pa= rt are called like-terms.
Like-terms may be combined.
In the last section, we introdu= ced the polynomial expressions. Given a polynomials, each monom= ial is called a term.
        = ;     #xN ± #xN-1 ± … ± #x ± #
terms
Polynomial Expressions
------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/slide0220.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
Terms with the same variable pa= rt are called like-terms.
Like-terms may be combined.
For example, 4x + 5x =3D 9x and 3x2 – 5x2 =3D –2x2.
In the last section, we introdu= ced the polynomial expressions. Given a polynomials, each monom= ial is called a term.
        = ;     #xN ± #xN-1 ± … ± #x ± #
terms
Polynomial Expressions
------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/slide0221.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
Terms with the same variable pa= rt are called like-terms.
Like-terms may be combined.
For example, 4x + 5x =3D 9x and 3x2 – 5x2 =3D –2x2.&#= 13;
Unlike terms may not be combine= d.
In the last section, we introdu= ced the polynomial expressions. Given a polynomials, each monom= ial is called a term.
        = ;     #xN ± #xN-1 ± … ± #x ± #
terms
Polynomial Expressions
------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/slide0222.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
Terms with the same variable pa= rt are called like-terms.
Like-terms may be combined.
For example, 4x + 5x =3D 9x and 3x2 – 5x2 =3D –2x2.&#= 13;
Unlike terms may not be combine= d. So x + x2 stays as x + x2.
In the last section, we introdu= ced the polynomial expressions. Given a polynomials, each monom= ial is called a term.
        = ;     #xN ± #xN-1 ± … ± #x ± #
terms
Polynomial Expressions
------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/slide0223.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
Terms with the same variable pa= rt are called like-terms.
Like-terms may be combined.
For example, 4x + 5x =3D 9x and 3x2 – 5x2 =3D –2x2.&#= 13;
Unlike terms may not be combine= d. So x + x2 stays as x + x2.
Note that we write 1xN as xN , –1xN as –xN.
In the last section, we introdu= ced the polynomial expressions. Given a polynomials, each monom= ial is called a term.
        = ;     #xN ± #xN-1 ± … ± #x ± #
terms
Polynomial Expressions
------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/slide0224.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
Terms with the same variable pa= rt are called like-terms.
Like-terms may be combined.
For example, 4x + 5x =3D 9x and 3x2 – 5x2 =3D –2x2.&#= 13;
Unlike terms may not be combine= d. So x + x2 stays as x + x2.
Note that we write 1xN as xN , –1xN as –xN.
When multiplying a number to a term, we multiply it to the coefficient.
In the last section, we introdu= ced the polynomial expressions. Given a polynomials, each monom= ial is called a term.
        = ;     #xN ± #xN-1 ± … ± #x ± #
terms
Polynomial Expressions
------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/slide0225.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
Terms with the same variable pa= rt are called like-terms.
Like-terms may be combined.
For example, 4x + 5x =3D 9x and 3x2 – 5x2 =3D –2x2.&#= 13;
Unlike terms may not be combine= d. So x + x2 stays as x + x2.
Note that we write 1xN as xN , –1xN as –xN.
When multiplying a number to a term, we multiply it to the coefficient. Hence, 3(5x) =3D (= 3*5)x =3D15x,
In the last section, we introdu= ced the polynomial expressions. Given a polynomials, each monom= ial is called a term.
        = ;     #xN ± #xN-1 ± … ± #x ± #
terms
Polynomial Expressions
------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/slide0226.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
Terms with the same variable pa= rt are called like-terms.
Like-terms may be combined.
For example, 4x + 5x =3D 9x and 3x2 – 5x2 =3D –2x2.&#= 13;
Unlike terms may not be combine= d. So x + x2 stays as x + x2.
Note that we write 1xN as xN , –1xN as –xN.
When multiplying a number to a term, we multiply it to the coefficient. Hence, 3(5x) =3D (= 3*5)x =3D15x, 
and –2(–4x) =3D (–2)(–4)x =3D 8x.
In the last section, we introdu= ced the polynomial expressions. Given a polynomials, each monom= ial is called a term.
        = ;     #xN ± #xN-1 ± … ± #x ± #
terms
Polynomial Expressions
------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/slide0228.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
Terms with the same variable pa= rt are called like-terms.
Like-terms may be combined.
For example, 4x + 5x =3D 9x and 3x2 – 5x2 =3D –2x2.&#= 13;
Unlike terms may not be combine= d. So x + x2 stays as x + x2.
Note that we write 1xN as xN , –1xN as –xN.
When multiplying a number to a term, we multiply it to the coefficient. Hence, 3(5x) =3D (= 3*5)x =3D15x, 
and –2(–4x) =3D (–2)(–4)x =3D 8x.
When multiplying a number to a polynomial, we may expand the result using the distributi= ve law: A(B ± C) =3D AB ± AC.
In the last section, we introdu= ced the polynomial expressions. Given a polynomials, each monom= ial is called a term.
        = ;     #xN ± #xN-1 ± … ± #x ± #
terms
Polynomial Expressions
------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/slide0208.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
Example A. Expand= and simplify.
Polynomial Expressions
------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/slide0209.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
Example A. Expand= and simplify.
<= span style=3D'font-size:133%;color:#003300'>a. 3(2x – 4) + 2(4 – 5x= )
Polynomial Expressions
------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/slide0210.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
Example A. Expand= and simplify.
<= span style=3D'font-size:133%;color:#003300'>a. 3(2x – 4) + 2(4 – 5x)
  =3D 6x – 12<= span lang=3DEN-US style=3D'mso-fareast-font-family:PMingLiU;mso-hansi-font-fami= ly:Arial; font-size:133%;color:#003300;mso-fareast-language:ZH-TW'>
Polynomial Expressions
------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/slide0211.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
Example A. Expand= and simplify.
<= span style=3D'font-size:133%;color:#003300'>a. 3(2x – 4) + 2(4 – 5x)
  =3D 6x – 12<= span lang=3DEN-US style=3D'mso-fareast-font-family:PMingLiU;mso-hansi-font-fami= ly:Arial; font-size:133%;color:#003300;mso-fareast-language:ZH-TW'> + 8 – 10x<= /span>
Polynomial Expressions
------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/slide0212.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
Example A. Expand= and simplify.
<= span style=3D'font-size:133%;color:#003300'>a. 3(2x – 4) + 2(4 – 5x)
  =3D 6x – 12<= span lang=3DEN-US style=3D'mso-fareast-font-family:PMingLiU;mso-hansi-font-fami= ly:Arial; font-size:133%;color:#003300;mso-fareast-language:ZH-TW'> + 8 – 10x&= #13;
  =3D –4x – 4 
Polynomial Expressions
------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/slide0213.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
Example A. Expand= and simplify.
<= span style=3D'font-size:133%;color:#003300'>a. 3(2x – 4) + 2(4 – 5x)
  =3D 6x – 12<= span lang=3DEN-US style=3D'mso-fareast-font-family:PMingLiU;mso-hansi-font-fami= ly:Arial; font-size:133%;color:#003300;mso-fareast-language:ZH-TW'> + 8 – 10x&= #13;
  =3D –4x – 4 
b. –3(x2 – 3x + 5) – 2(–x2 – 4x – 6)=
Polynomial Expressions
------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/slide0214.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
Example A. Expand= and simplify.
<= span style=3D'font-size:133%;color:#003300'>a. 3(2x – 4) + 2(4 – 5x)
  =3D 6x – 12<= span lang=3DEN-US style=3D'mso-fareast-font-family:PMingLiU;mso-hansi-font-fami= ly:Arial; font-size:133%;color:#003300;mso-fareast-language:ZH-TW'> + 8 – 10x&= #13;
  =3D –4x – 4 
b. –3(x2 – 3x + 5) – 2(–x2 – 4x – 6)=
  =3D –3x2 + 9x – 15
Polynomial Expressions
------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/slide0215.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
Example A. Expand= and simplify.
<= span style=3D'font-size:133%;color:#003300'>a. 3(2x – 4) + 2(4 – 5x)
  =3D 6x – 12<= span lang=3DEN-US style=3D'mso-fareast-font-family:PMingLiU;mso-hansi-font-fami= ly:Arial; font-size:133%;color:#003300;mso-fareast-language:ZH-TW'> + 8 – 10x&= #13;
  =3D –4x – 4 
b. –3(x2 – 3x + 5) – 2(–x2 – 4x – 6)=
  =3D –3x2 + 9x – 15 + 2x2 + 8x +12
Polynomial Expressions
------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/slide0216.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
Example A. Expand= and simplify.
<= span style=3D'font-size:133%;color:#003300'>a. 3(2x – 4) + 2(4 – 5x)
  =3D 6x – 12<= span lang=3DEN-US style=3D'mso-fareast-font-family:PMingLiU;mso-hansi-font-fami= ly:Arial; font-size:133%;color:#003300;mso-fareast-language:ZH-TW'> + 8 – 10x&= #13;
  =3D –4x – 4 
b. –3(x2 – 3x + 5) – 2(–x2 – 4x – 6)=
  =3D –3x2 + 9x – 15 + 2x2 + 8x +12
  =3D –<= /span>x2 + 17x – 3
Polynomial Expressions
------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/slide0229.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
Example A. Expand= and simplify.
<= span style=3D'font-size:133%;color:#003300'>a. 3(2x – 4) + 2(4 – 5x)
  =3D 6x – 12<= span lang=3DEN-US style=3D'mso-fareast-font-family:PMingLiU;mso-hansi-font-fami= ly:Arial; font-size:133%;color:#003300;mso-fareast-language:ZH-TW'> + 8 – 10x&= #13;
  =3D –4x – 4 
b. –3(x2 – 3x + 5) – 2(–x2 – 4x – 6)=
  =3D –3x2 + 9x – 15 + 2x2 + 8x +12
  =3D –<= /span>x2 + 17x – 3
When multiply a term to another term, we multiply the coefficient to the coefficient = and the variable to the variable.
Polynomial Expressions
------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/slide0230.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
Example A. Expand= and simplify.
<= span style=3D'font-size:133%;color:#003300'>a. 3(2x – 4) + 2(4 – 5x)
  =3D 6x – 12<= span lang=3DEN-US style=3D'mso-fareast-font-family:PMingLiU;mso-hansi-font-fami= ly:Arial; font-size:133%;color:#003300;mso-fareast-language:ZH-TW'> + 8 – 10x&= #13;
  =3D –4x – 4 
b. –3(x2 – 3x + 5) – 2(–x2 – 4x – 6)=
  =3D –3x2 + 9x – 15 + 2x2 + 8x +12
  =3D –<= /span>x2 + 17x – 3
When multiply a term to another term, we multiply the coefficient to the coefficient = and the variable to the variable.
Example B.
 
<= span style=3D'font-size:133%;color:#003300'>a.(3x2)(2x3) <= /div>
Polynomial Expressions
------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/slide0231.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
Example A. Expand= and simplify.
<= span style=3D'font-size:133%;color:#003300'>a. 3(2x – 4) + 2(4 – 5x)
  =3D 6x – 12<= span lang=3DEN-US style=3D'mso-fareast-font-family:PMingLiU;mso-hansi-font-fami= ly:Arial; font-size:133%;color:#003300;mso-fareast-language:ZH-TW'> + 8 – 10x&= #13;
  =3D –4x – 4 
b. –3(x2 – 3x + 5) – 2(–x2 – 4x – 6)=
  =3D –3x2 + 9x – 15 + 2x2 + 8x +12
  =3D –<= /span>x2 + 17x – 3
When multiply a term to another term, we multiply the coefficient to the coefficient = and the variable to the variable.
Example B.
 
<= span style=3D'font-size:133%;color:#003300'>a.(3x2)(2x3) =3D 3*2x2x3 
Polynomial Expressions
------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/slide0232.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
Example A. Expand= and simplify.
<= span style=3D'font-size:133%;color:#003300'>a. 3(2x – 4) + 2(4 – 5x)
  =3D 6x – 12<= span lang=3DEN-US style=3D'mso-fareast-font-family:PMingLiU;mso-hansi-font-fami= ly:Arial; font-size:133%;color:#003300;mso-fareast-language:ZH-TW'> + 8 – 10x&= #13;
  =3D –4x – 4 
b. –3(x2 – 3x + 5) – 2(–x2 – 4x – 6)=
  =3D –3x2 + 9x – 15 + 2x2 + 8x +12
  =3D –<= /span>x2 + 17x – 3
When multiply a term to another term, we multiply the coefficient to the coefficient = and the variable to the variable.
Example B.
 
<= span style=3D'font-size:133%;color:#003300'>a.(3x2)(2x3) =3D 3*2x2x3 =3D 6x5
Polynomial Expressions
------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/slide0233.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
Example A. Expand= and simplify.
<= span style=3D'font-size:133%;color:#003300'>a. 3(2x – 4) + 2(4 – 5x)
  =3D 6x – 12<= span lang=3DEN-US style=3D'mso-fareast-font-family:PMingLiU;mso-hansi-font-fami= ly:Arial; font-size:133%;color:#003300;mso-fareast-language:ZH-TW'> + 8 – 10x&= #13;
  =3D –4x – 4 
b. –3(x2 – 3x + 5) – 2(–x2 – 4x – 6)=
  =3D –3x2 + 9x – 15 + 2x2 + 8x +12
  =3D –<= /span>x2 + 17x – 3
When multiply a term to another term, we multiply the coefficient to the coefficient = and the variable to the variable.
Example B.
 
<= span style=3D'font-size:133%;color:#003300'>a.(3x2)(2x3) =3D 3*2x2x3 =3D 6x5
= 3;
b. 3x2(–4x)
Polynomial Expressions
------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/slide0234.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
Example A. Expand= and simplify.
<= span style=3D'font-size:133%;color:#003300'>a. 3(2x – 4) + 2(4 – 5x)
  =3D 6x – 12<= span lang=3DEN-US style=3D'mso-fareast-font-family:PMingLiU;mso-hansi-font-fami= ly:Arial; font-size:133%;color:#003300;mso-fareast-language:ZH-TW'> + 8 – 10x&= #13;
  =3D –4x – 4 
b. –3(x2 – 3x + 5) – 2(–x2 – 4x – 6)=
  =3D –3x2 + 9x – 15 + 2x2 + 8x +12
  =3D –<= /span>x2 + 17x – 3
When multiply a term to another term, we multiply the coefficient to the coefficient = and the variable to the variable.
Example B.
 
<= span style=3D'font-size:133%;color:#003300'>a.(3x2)(2x3) =3D 3*2x2x3 =3D 6x5
= 3;
b. 3x2(–4x) =3D 3(–4)x2x
Polynomial Expressions
------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/slide0235.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
Example A. Expand= and simplify.
<= span style=3D'font-size:133%;color:#003300'>a. 3(2x – 4) + 2(4 – 5x)
  =3D 6x – 12<= span lang=3DEN-US style=3D'mso-fareast-font-family:PMingLiU;mso-hansi-font-fami= ly:Arial; font-size:133%;color:#003300;mso-fareast-language:ZH-TW'> + 8 – 10x&= #13;
  =3D –4x – 4 
b. –3(x2 – 3x + 5) – 2(–x2 – 4x – 6)=
  =3D –3x2 + 9x – 15 + 2x2 + 8x +12
  =3D –<= /span>x2 + 17x – 3
When multiply a term to another term, we multiply the coefficient to the coefficient = and the variable to the variable.
Example B.
 
<= span style=3D'font-size:133%;color:#003300'>a.(3x2)(2x3) =3D 3*2x2x3 =3D 6x5
= 3;
b. 3x2(–4x) =3D 3(–4)x2x =3D –12x<= /span>3 
Polynomial Expressions
------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/slide0236.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
Example A. Expand= and simplify.
<= span style=3D'font-size:133%;color:#003300'>a. 3(2x – 4) + 2(4 – 5x)
  =3D 6x – 12<= span lang=3DEN-US style=3D'mso-fareast-font-family:PMingLiU;mso-hansi-font-fami= ly:Arial; font-size:133%;color:#003300;mso-fareast-language:ZH-TW'> + 8 – 10x&= #13;
  =3D –4x – 4 
b. –3(x2 – 3x + 5) – 2(–x2 – 4x – 6)=
  =3D –3x2 + 9x – 15 + 2x2 + 8x +12
  =3D –<= /span>x2 + 17x – 3
When multiply a term to another term, we multiply the coefficient to the coefficient = and the variable to the variable.
Example B.
 
<= span style=3D'font-size:133%;color:#003300'>a.(3x2)(2x3) =3D 3*2x2x3 =3D 6x5
= 3;
b. 3x2(–4x) =3D 3(–4)x2x =3D –12x<= /span>3 
c. 3x2(2x3 – 4x)        = ;      
Polynomial Expressions
------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/slide0237.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
Example A. Expand= and simplify.
<= span style=3D'font-size:133%;color:#003300'>a. 3(2x – 4) + 2(4 – 5x)
  =3D 6x – 12<= span lang=3DEN-US style=3D'mso-fareast-font-family:PMingLiU;mso-hansi-font-fami= ly:Arial; font-size:133%;color:#003300;mso-fareast-language:ZH-TW'> + 8 – 10x&= #13;
  =3D –4x – 4 
b. –3(x2 – 3x + 5) – 2(–x2 – 4x – 6)=
  =3D –3x2 + 9x – 15 + 2x2 + 8x +12
  =3D –<= /span>x2 + 17x – 3
When multiply a term to another term, we multiply the coefficient to the coefficient = and the variable to the variable.
Example B.
 
<= span style=3D'font-size:133%;color:#003300'>a.(3x2)(2x3) =3D 3*2x2x3 =3D 6x5
= 3;
b. 3x2(–4x) =3D 3(–4)x2x =3D –12x<= /span>3 
c. 3x2(2x3 – 4x)        = ;       distribute
  =3D 6x5 – 12x3 
Polynomial Expressions
------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/slide0187.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
General Distributive Rule:
Polynomial Expressions
------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/slide0239.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
General Distributive Rule:
  (A ± B ± C ± ..)(a &pl= usmn; b &pl= usmn; c ..)
Polynomial Expressions
------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/slide0240.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
General Distributive Rule:
  (A ± B ± C ± ..)(a &pl= usmn; b &pl= usmn; c ..)
=3D Aa ± Ab ± Ac ..
Polynomial Expressions
------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/slide0241.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
General Distributive Rule:
  (A ± B ± C ± ..)(a &pl= usmn; b &pl= usmn; c ..)
=3D Aa ± Ab ± Ac ..± Ba ± Bb ± Bc ..
Polynomial Expressions
------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/slide0242.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
General Distributive Rule:
  (A ± B ± C ± ..)(a &pl= usmn; b &pl= usmn; c ..)
=3D Aa ± Ab ± Ac ..± Ba ± Bb ± Bc ..±C= a ± Cb ± Cc ..
Polynomial Expressions
------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/slide0238.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
General Distributive Rule:
  (A ± B ± C ± ..)(a &pl= usmn; b &pl= usmn; c ..)
=3D Aa ± Ab ± Ac ..± Ba ± Bb ± Bc ..±C= a ± Cb ± Cc ..
Example C. Expand
 
<= span style=3D'font-size:133%;color:#003300'>a. (x + 3)(x – 4)=
Polynomial Expressions
------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/slide0243.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions
General Distributive Rule:
  (A ± B ± C ± ..)(a &pl= usmn; b &pl= usmn; c ..)
=3D Aa ± Ab ± Ac ..± Ba ± Bb ± Bc ..±C= a ± Cb ± Cc ..
Example C. Expand
 
<= span style=3D'font-size:133%;color:#003300'>a. (x + 3)(x – 4)
 
  =3D x2 
Polynomial Expressions
------=_NextPart_01C96F59.83069930 Content-Location: file:///C:/2D664A33/2OperationsofPolynomialExpressions_files/slide0244.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Expressions