document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=600952>Question 600952</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the rational expression 7/2x^2-5x-3 as a sum of partial fractions. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #379577 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=379577\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write the rational expression 7/2x^2-5x-3 as a sum of partial fractions.<BR>\n" );
document.write( "Factor the denominator and write it<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F%28%282x%2B1%29%28x-3%29%29 ALIGN=MIDDLE  ALT=\"7%2F%28%282x%2B1%29%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2F%28%282x%2B1%29%29 ALIGN=MIDDLE  ALT=\"A%2F%28%282x%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B%2F%28%28x-3%29%29 ALIGN=MIDDLE  ALT=\"B%2F%28%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "Combine the fractions on the right<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F%28%282x%2B1%29%28x-3%29%29 ALIGN=MIDDLE  ALT=\"7%2F%28%282x%2B1%29%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28A%28x-3%29%2BB%282x%2B1%29%29%2F%28%282x%2B1%29%28x-3%29%29 ALIGN=MIDDLE  ALT=\"%28A%28x-3%29%2BB%282x%2B1%29%29%2F%28%282x%2B1%29%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "If the denominators are equal, the numerators are, we can write it<BR>\n" );
document.write( "7 = A(x-3) + B(2x+1)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Assume this is an identity, equation true for all values of x. <BR>\n" );
document.write( "Let x=3<BR>\n" );
document.write( "7 = A(3-3) + B(2(3)+1)<BR>\n" );
document.write( "The A term drops out<BR>\n" );
document.write( "7 = 7B + 0<BR>\n" );
document.write( "B = 1<BR>\n" );
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document.write( "Let x=-.5<BR>\n" );
document.write( "7 = A(-.5-3) + B(2(-.5)+1)<BR>\n" );
document.write( "The B term drops out<BR>\n" );
document.write( "7 = -3.5A + 0<BR>\n" );
document.write( "A = -2<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The decomposed fraction<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F%28%282x%2B1%29%28x-3%29%29 ALIGN=MIDDLE  ALT=\"7%2F%28%282x%2B1%29%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2%29%2F%28%282x%2B1%29%29 ALIGN=MIDDLE  ALT=\"%28-2%29%2F%28%282x%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%28x-3%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( " </SPAN>\n" );
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