document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=113750>Question 113750</A>: <I><SPAN STYLE=\"word-break: break-all;\"> decompose into a partial fraction\r<BR>\n" );
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document.write( "3x^2+15x+8/(x+1)(x+2)(x-3) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #82766 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=82766\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> decompose into a partial fraction\r<BR>\n" );
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document.write( "3x^2+15x+8/(x+1)(x+2)(x-3)<BR>\n" );
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document.write( "3x^2+15x+8/(x+1)(x+2)(x-3) = A/(x+1) + B/(x+2) + C/(x-3)\r<BR>\n" );
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document.write( "= A(x+2)(x-3) + B(x+1)(x-3) + C(x+1)(x+2 / ......\r<BR>\n" );
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document.write( "= A(x^2-x-6) + B(x^2-2x-3) + C(x^2+3x+2)/ ....\r<BR>\n" );
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document.write( "------------------<BR>\n" );
document.write( "A+B+C = 3<BR>\n" );
document.write( "-A-2B+3C = 15<BR>\n" );
document.write( "-6A-3B+2C = 8<BR>\n" );
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document.write( "Using the Matrix function of a TI-83 I get:<BR>\n" );
document.write( "A = 1<BR>\n" );
document.write( "B = -2 <BR>\n" );
document.write( "C = 4<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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