document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1103572>Question 1103572</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find partial fraction decomposition of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E3%2B1%29%2F%28x%5E2%2B16%29%5E2 ALIGN=MIDDLE  ALT=\"%28x%5E3%2B1%29%2F%28x%5E2%2B16%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "It has a repeated quadratic factor in the denominator so I would start it as<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E3%2B1%29%2F%28x%5E2%2B16%29%5E2 ALIGN=MIDDLE  ALT=\"%28x%5E3%2B1%29%2F%28x%5E2%2B16%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28Ax%2BB%29%2F%28x%5E2%2B16%29 ALIGN=MIDDLE  ALT=\"%28Ax%2BB%29%2F%28x%5E2%2B16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >+<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28Cx%2BD%29%2F%28x%5E2%2B16%29%5E2 ALIGN=MIDDLE  ALT=\"%28Cx%2BD%29%2F%28x%5E2%2B16%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "then you would multiply the three sections by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2B16%29%5E2 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B16%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "then I got <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3%2B1%29 ALIGN=MIDDLE  ALT=\"x%5E3%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Ax%2BB%28x%5E2%2B16%29%2BCx%2BD ALIGN=MIDDLE  ALT=\"Ax%2BB%28x%5E2%2B16%29%2BCx%2BD\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3%2B1%29 ALIGN=MIDDLE  ALT=\"x%5E3%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Ax%5E3%2B16Ax%2BBx%5E2%2B16B%2BCx%2BD ALIGN=MIDDLE  ALT=\"Ax%5E3%2B16Ax%2BBx%5E2%2B16B%2BCx%2BD\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then you would set up a series of equations but from the work above I'm certain it's wrong from where I split up the equation but I dont have a solution to this in my text. Thank you for any help!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #718265 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=718265\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Your work is fine; and the system of equations you need to solve to finish the problem is easily solved.  The system is obtained by equating the coefficients of each power on the two sides of the equation:<br><BR>\n" );
document.write( "x^3 term: A = 1<BR>\n" );
document.write( "x^2 term: B = 0<BR>\n" );
document.write( "x term: 16A+C = 0<BR>\n" );
document.write( "constant term: 16B+D = 0<br><BR>\n" );
document.write( "Surely you can finish from there; then the result is easy to check by plugging in the values you found for A, B, C, and D. </SPAN>\n" );
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