document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=395282>Question 395282</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I couldn't find the proper place to submit this question, because you do not have a pre-calculus section on your website.  Hopefully you can still answer this question.\r<BR>\n" );
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document.write( "    (9x^2-24x-57)/(x+1)(x+3)(x-5)  It's a partial fraction decomposition problem.  I haven't done any of these in a while, so I can't remember what to do with (9x^2-24x-57).\r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #280539 by </B><A HREF=/tutors/aboutme.mpl?userid=jrfrunner><B>jrfrunner(365)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jrfrunner><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=jrfrunner><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=280539\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> set up the following equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289x%5E2-24x-57%29%2F%28%28x%2B1%29%28x%2B3%29%28x-5%29%29=A%2F%28x%2B1%29%2BB%2F%28x%2B3%29%2BC%2F%28x-5%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "next multiply both sides by the common denominator (x+1)(x+3)(x-5)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289x%5E2-24x-57%29=A%28x%2B3%29%28x-5%29%2BB%28x%2B1%29%28x-5%29%2BC%28x%2B1%29%28x%2B3%29 ALIGN=MIDDLE  ALT=\"%289x%5E2-24x-57%29=A%28x%2B3%29%28x-5%29%2BB%28x%2B1%29%28x-5%29%2BC%28x%2B1%29%28x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "at this point you can expand out all terms, then combined common terms and set correponding parts equal yielding a system of equation to solve for A,B and C<BR>\n" );
document.write( "but another alternative is to select \"convenient values of x and solve <BR>\n" );
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document.write( "x=-1:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%28-1%29%5E2-24%28-1%29-57=A%28-1%2B3%29%28-1-5%29%2BB%2A0%2BC%2A0 ALIGN=MIDDLE  ALT=\"9%28-1%29%5E2-24%28-1%29-57=A%28-1%2B3%29%28-1-5%29%2BB%2A0%2BC%2A0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "9+24-57=-12A or A=-24/-12=2<BR>\n" );
document.write( "x=-3:   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%28-3%29%5E2-24%28-3%29-57=A%2A0%2BB%2A%28-3%2B1%29%28-3-5%29%2BC%2A0 ALIGN=MIDDLE  ALT=\"9%28-3%29%5E2-24%28-3%29-57=A%2A0%2BB%2A%28-3%2B1%29%28-3-5%29%2BC%2A0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "81+72-57=72B  or B=96/72=4/3<BR>\n" );
document.write( "x=5:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%285%29%5E2-24%285%29-57=A%2A0%2BB%2A0%2BC%2A%285%2B1%29%285%2B3%29 ALIGN=MIDDLE  ALT=\"9%285%29%5E2-24%285%29-57=A%2A0%2BB%2A0%2BC%2A%285%2B1%29%285%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "225-120-57=48C or C=48/48=1<BR>\n" );
document.write( "==<BR>\n" );
document.write( "if I did my math correctly<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289x%5E2-24x-57%29%2F%28%28x%2B1%29%28x%2B3%29%28x-5%29%29=2%2F%28x%2B1%29%2B4%2F%283%28x%2B3%29%29%2B1%2F%28x-5%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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