document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=112304>Question 112304</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/091809190x/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> How would I set up the following problem to solve correctly? Write in lowest terms and for what value(s) of x is the fraction not defined? This is in the rational expressions chapter of the book.\r<BR>\n" );
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document.write( "x^2+3x<BR>\n" );
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document.write( "x^2+7x+12 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #81925 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=81925\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2B3x%29%2F%28x%5E2%2B7x%2B12%29 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B3x%29%2F%28x%5E2%2B7x%2B12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%28x%2B3%29%29%2F%28x%5E2%2B7x%2B12%29 ALIGN=MIDDLE  ALT=\"%28x%28x%2B3%29%29%2F%28x%5E2%2B7x%2B12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B3x ALIGN=MIDDLE  ALT=\"x%5E2%2B3x\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x%2B3%29 ALIGN=MIDDLE  ALT=\"x%28x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  (note: if you need help with factoring, check out this <a  rel=nofollow HREF=http://www.algebra.com/algebra/homework/playground/change-this-name4450.solver>solver</a>)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%28x%2B3%29%29%2F%28%28x%2B4%29%28x%2B3%29%29 ALIGN=MIDDLE  ALT=\"%28x%28x%2B3%29%29%2F%28%28x%2B4%29%28x%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B7x%2B12 ALIGN=MIDDLE  ALT=\"x%5E2%2B7x%2B12\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B4%29%28x%2B3%29 ALIGN=MIDDLE  ALT=\"%28x%2B4%29%28x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2Across%28%28x%2B3%29%29%29%2F%28%28x%2B4%29cross%28%28x%2B3%29%29%29 ALIGN=MIDDLE  ALT=\"%28x%2Across%28%28x%2B3%29%29%29%2F%28%28x%2B4%29cross%28%28x%2B3%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F%28x%2B4%29 ALIGN=MIDDLE  ALT=\"x%2F%28x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "Remember, when x=-4 or x=-3 (by solving <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B4%29%28x%2B3%29=0 ALIGN=MIDDLE  ALT=\"%28x%2B4%29%28x%2B3%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >) , the denominator is zero. So for these values, the fraction is not defined.\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2B3x%29%2F%28x%5E2%2B7x%2B12%29 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B3x%29%2F%28x%5E2%2B7x%2B12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F%28x%2B4%29 ALIGN=MIDDLE  ALT=\"x%2F%28x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > with these restrictions. </SPAN>\n" );
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