document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=467157>Question 467157</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Partial fraction decomposition:<BR>\n" );
document.write( "(5x^2+20x+6)/x^3+2x^2+x\r<BR>\n" );
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document.write( "Here's what I got but I think it is wrong:<BR>\n" );
document.write( "(5x^2+20x+6)/x(x^2+2x+1)<BR>\n" );
document.write( "(5x^2+20x+6)/x(x+1)^2<BR>\n" );
document.write( "(A/x)+(B/(x+1))+(C/(x+1)^2)<BR>\n" );
document.write( "A(x+1)(x+1)^2  +  B(x)(x+1)^2   +   C(x)(x+1)\r<BR>\n" );
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document.write( "(5x^2+20x+6)=Ax^3+Bx^3+3Ax^2+2Bx^2+Cx^2+3Ax+Bx+Cx+A\r<BR>\n" );
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document.write( "(5x^2+20x+6)=x^3(A+B) + x^2(3A+2B+C)  + x(3A+B+C)  + A\r<BR>\n" );
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document.write( "A+B=0<BR>\n" );
document.write( "3A+2B+C=5<BR>\n" );
document.write( "3A+B+C=20<BR>\n" );
document.write( "A=6\r<BR>\n" );
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document.write( "A=6<BR>\n" );
document.write( "B=-6<BR>\n" );
document.write( "C=-1\r<BR>\n" );
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document.write( "But this isn't right. Where did I go wrong? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #320435 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=320435\">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=A%28x%2B1%29%28x%2B1%29%5E2+%2B+Bx%28x%2B1%29%5E2+%2B+Cx%28x%2B1%29+ ALIGN=MIDDLE  ALT=\"A%28x%2B1%29%28x%2B1%29%5E2+%2B+Bx%28x%2B1%29%5E2+%2B+Cx%28x%2B1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > should have been written as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%28x%2B1%29%5E2+%2B+Bx%28x%2B1%29+%2B+Cx ALIGN=MIDDLE  ALT=\"A%28x%2B1%29%5E2+%2B+Bx%28x%2B1%29+%2B+Cx\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and then equated to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%5E2%2B20x%2B6 ALIGN=MIDDLE  ALT=\"5x%5E2%2B20x%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Compare term-by-term to get the system\r<BR>\n" );
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document.write( "A + B = 5,<BR>\n" );
document.write( "2A + B + C = 20,<BR>\n" );
document.write( "A = 6.\r<BR>\n" );
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document.write( "==> B = -1, and C = 9. </SPAN>\n" );
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