document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=471722>Question 471722</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the partial fraction decomposition of the rational expression below.\r<BR>\n" );
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document.write( "(-x-37)/(x^2-3x-28)\r<BR>\n" );
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document.write( "a.-(4/x-7)-(3/x+4)<BR>\n" );
document.write( "b.(3/x-7)+(3/x+4)<BR>\n" );
document.write( "c.-(3/x-7)+(3/x+4)<BR>\n" );
document.write( "d.(4/x-7)+(3/x+4)<BR>\n" );
document.write( "e.-(4/x-7)+(3/x+4) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #323501 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=323501\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the partial fraction decomposition of the rational expression below. <BR>\n" );
document.write( "(-x-37)/(x^2-3x-28)\r<BR>\n" );
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document.write( "----<BR>\n" );
document.write( "[-(x+37)]/[(x-7)(x+4)]<BR>\n" );
document.write( "----<BR>\n" );
document.write( "= A/(x-7) + B/(x+4)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "= [A(x+4) + B(x-7)]/[x^2-3x-28]<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Equate the numerators:<BR>\n" );
document.write( "(A+B)x + (4A-7B) = -x-37<BR>\n" );
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document.write( "Then:<BR>\n" );
document.write( "A + B = -1<BR>\n" );
document.write( "4A-7B = -37<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Modify:<BR>\n" );
document.write( "4A + 4B = -4<BR>\n" );
document.write( "4A - 7B = -37<BR>\n" );
document.write( "----<BR>\n" );
document.write( "11B = 33<BR>\n" );
document.write( "B = 3<BR>\n" );
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document.write( "Since A+B = -1<BR>\n" );
document.write( "A = -4<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Solution:<BR>\n" );
document.write( "-4/(x-7) + 3/(x+4)<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "======================== <BR>\n" );
document.write( "a.-(4/x-7)-(3/x+4)<BR>\n" );
document.write( "b.(3/x-7)+(3/x+4)<BR>\n" );
document.write( "c.-(3/x-7)+(3/x+4)<BR>\n" );
document.write( "d.(4/x-7)+(3/x+4)<BR>\n" );
document.write( "e.-(4/x-7)+(3/x+4)<BR>\n" );
document.write( " </SPAN>\n" );
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