document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=711193>Question 711193</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For questions 1–2, simplify the rational expression. State any restrictions on the variable<BR>\n" );
document.write( "help PLEASE?\r<BR>\n" );
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document.write( "1.) p^2-4p-32/p+4<BR>\n" );
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document.write( "2.) q^2+ 11q +24/ q^2 -5q -24<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #437323 by </B><A HREF=/tutors/aboutme.mpl?userid=tutor_paul><B>tutor_paul(519)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutor_paul><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/cgi-bin/show-face.mpl?user=tutor_paul><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=437323\">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=%28p%5E2-4p-32%29%2F%28p%2B4%29 ALIGN=MIDDLE  ALT=\"%28p%5E2-4p-32%29%2F%28p%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Restriction: p not equal to -4 (zero denominator is undefined)<BR>\n" );
document.write( "Factor Numerator:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28p-8%29%28p%2B4%29%2F%28p%2B4%29 ALIGN=MIDDLE  ALT=\"%28p-8%29%28p%2B4%29%2F%28p%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cancel out the (p+4) terms and you are left with:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28p-8%29 ALIGN=MIDDLE  ALT=\"highlight%28p-8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28q%5E2%2B11q%2B24%29%2F%28q%5E2-5q-24%29 ALIGN=MIDDLE  ALT=\"%28q%5E2%2B11q%2B24%29%2F%28q%5E2-5q-24%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Factor Numerator:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28q%2B3%29%28q%2B8%29%2F%28q%5E2-5q-24%29 ALIGN=MIDDLE  ALT=\"%28q%2B3%29%28q%2B8%29%2F%28q%5E2-5q-24%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Factor Denominator:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28q%2B3%29%28q%2B8%29%2F%28q%2B3%29%28q-8%29 ALIGN=MIDDLE  ALT=\"%28q%2B3%29%28q%2B8%29%2F%28q%2B3%29%28q-8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Note that q=-3 or q=8 give a zero denominator, so those values are not allowed<BR>\n" );
document.write( "Cancel out the (q+3) terms and you are left with:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28q%2B8%29%2F%28q-8%29%29 ALIGN=MIDDLE  ALT=\"highlight%28%28q%2B8%29%2F%28q-8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "======================<BR>\n" );
document.write( "Good Luck,<BR>\n" );
document.write( "tutor_paul@yahoo.com </SPAN>\n" );
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