document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=669506>Question 669506</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How can I express the following expression in partial fractions: \r<BR>\n" );
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document.write( "9x^2 - 22x + 9 / x^3 - 4x^2 + 3x\r<BR>\n" );
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document.write( "Help me ASAP.\r<BR>\n" );
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document.write( "Thanks in advance.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #416410 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=416410\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> express the following expression in partial fractions: \r<BR>\n" );
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document.write( "9x^2 - 22x + 9 / x^3 - 4x^2 + 3x <BR>\n" );
document.write( "----<BR>\n" );
document.write( "x^3 - 4x^2 + 3x = x(x^2-4x+3) <BR>\n" );
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document.write( "Rewrite:<BR>\n" );
document.write( "9x^2-22x+9 /x^3 -4x^2+3x = a/x + bx+c/(x^2-4x+3)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "9x^2-22x+9 = a(x^2-4x+3) + (bx+c)x<BR>\n" );
document.write( "----<BR>\n" );
document.write( "9x^2-22x+9 = ax^2 -4ax + 3a + bx^2 + cx<BR>\n" );
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document.write( "9x^2 - 22x + 9 = (a+b)x^2 +(-4a+c)x + 3a<BR>\n" );
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document.write( "Equate the coefficients of Like terms to get:<BR>\n" );
document.write( "Equations:<BR>\n" );
document.write( "a+b = 9<BR>\n" );
document.write( "-4a+c = -22<BR>\n" );
document.write( "3a = 9<BR>\n" );
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document.write( "Solve for a, b, c:<BR>\n" );
document.write( "a = 3<BR>\n" );
document.write( "b = 9-a = 6<BR>\n" );
document.write( "c = -22+4a = -10<BR>\n" );
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document.write( "Partial-Fraction Form<BR>\n" );
document.write( "Fraction = 3/x + (6x-10)/(x^2-4x+3)<BR>\n" );
document.write( "====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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