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%TCIDATA{<META NAME="Title" CONTENT="Factor">}
%TCIDATA{Created=Mon Aug 19 14:52:24 1996}
%TCIDATA{LastRevised=Thu Feb 13 21:42:55 1997}
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\input{tcilatex}
\begin{document}


\subsection{Factor\label{Factor}\hrulefill}

You can use the Factor command when you need to find the elements or
quantities whose multiplication gives a certain product or polynomial. You
can also use Factor to rationalize a denominator. These examples show how to
factor expressions.

\subparagraph{\FRAME{itbpF}{50.75pt}{21.75pt}{6pt}{}{}{ex3.wmf}{\special%
{language "Scientific Word";type "GRAPHIC";display "PICT";valid-file
"F";width 50.75pt;height 21.75pt;depth 6pt;original-width
48.875pt;original-height 19.5625pt;cropleft "0";croptop "1";cropright
"1";cropbottom "0";filename 'ex3.WMF';file-properties "XNPEU";}}\textit{%
Factor } $12345$}

\begin{enumerate}
\item  Click\FRAME{itbpF}{20.125pt}{20.125pt}{2pt}{}{}{text.wmf}{\special%
{language "Scientific Word";type "GRAPHIC";maintain-aspect-ratio
TRUE;display "PICT";valid_file "F";width 20.125pt;height 20.125pt;depth
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"1";cropright "1";cropbottom "0";filename 'text.wmf';file-properties
"XNPEU";}}or, from the Insert menu, choose Math to start mathematics.

\item  Type \textbf{12345}.

\item  From the Maple menu, choose Factor to obtain this result: $%
12345=\allowbreak 3\times 5\times 823.$\medskip 
\end{enumerate}

\subparagraph{\FRAME{itbpF}{50.75pt}{21.75pt}{6pt}{}{}{ex3.wmf}{\special%
{language "Scientific Word";type "GRAPHIC";display "PICT";valid-file
"F";width 50.75pt;height 21.75pt;depth 6pt;original-width
48.875pt;original-height 19.5625pt;cropleft "0";croptop "1";cropright
"1";cropbottom "0";filename 'ex3.WMF';file-properties "XNPEU";}}\textit{%
Factor } $x^{2}-y^{2}$}

\begin{enumerate}
\item  Click\FRAME{itbpF}{20.125pt}{20.125pt}{2pt}{}{}{text.wmf}{\special%
{language "Scientific Word";type "GRAPHIC";maintain-aspect-ratio
TRUE;display "PICT";valid_file "F";width 20.125pt;height 20.125pt;depth
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"1";cropright "1";cropbottom "0";filename 'text.wmf';file-properties
"XNPEU";}}or, from the Insert menu, choose Math to start mathematics.

\item  Type \textbf{x} , press\FRAME{itbpF}{19.5625pt}{18.8125pt}{2pt}{}{}{%
supscrip.wmf}{\special{language "Scientific Word";type "GRAPHIC";display
"PICT";valid_file "F";width 19.5625pt;height 18.8125pt;depth
2pt;original-width 17.8125pt;original-height 16.9375pt;cropleft "0";croptop
"1";cropright "1";cropbottom "0";filename 'supscrip.wmf';file-properties
"XNPEU";}}or, from the Insert menu, choose Superscript. Type \textbf{2,} and
press spacebar.

\item  Type \textbf{-y} , press\FRAME{itbpF}{19.5625pt}{18.8125pt}{2pt}{}{}{%
supscrip.wmf}{\special{language "Scientific Word";type "GRAPHIC";display
"PICT";valid_file "F";width 19.5625pt;height 18.8125pt;depth
2pt;original-width 17.8125pt;original-height 16.9375pt;cropleft "0";croptop
"1";cropright "1";cropbottom "0";filename 'supscrip.wmf';file-properties
"XNPEU";}}, and type \textbf{2}.

\item  From the Maple menu, choose Factor. On your screen, you see $%
x^{2}-y^{2}=\allowbreak \left( x-y\right) \left( x+y\right) $.\medskip
\end{enumerate}

\subparagraph{\textit{Factor these expressions\protect\medskip \label%
{exercises}}}

\begin{quotation}
\[
5x^{5}+5x^{4}-10x^{3}-10x^{2}+5x+5\text{\hspace{0.5in}}24!\text{\hspace{0.5in%
}}x^{6}-y^{6}\text{\hspace{0.5in}}\frac{1}{2}x^{2}+3x-\frac{20}{9} 
\]
\end{quotation}

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