document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=151438>Question 151438</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you please help me solve this equation for A, B, and C.\r<BR>\n" );
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document.write( "11x^2-x+8/(x+1)(X^2+4)=A/(x+1)+Bx+C/X^2+4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #111342 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=111342\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2811x%5E2-x%2B8%29%2F%28%28x%2B1%29%28x%5E2%2B4%29%29=A%2F%28x%2B1%29%2B%28Bx%2BC%29%2F%28x%5E2%2B4%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cross%28%28x%2B1%29%28x%5E2%2B4%29%29%29%28%2811x%5E2-x%2B8%29%2F%28cross%28%28x%2B1%29%28x%5E2%2B4%29%29%29%29=%28cross%28%28x%2B1%29%29%28x%5E2%2B4%29%29%28A%2Fcross%28%28x%2B1%29%29%29%2B%28%28x%2B1%29cross%28%28x%5E2%2B4%29%29%29%28%28Bx%2BC%29%2Fcross%28%28x%5E2%2B4%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <b>every</b> term by the LCD <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B1%29%28x%5E2%2B4%29 ALIGN=MIDDLE  ALT=\"%28x%2B1%29%28x%5E2%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to clear the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11x%5E2-x%2B8=%28x%5E2%2B4%29%28A%29%2B%28x%2B1%29%28Bx%2BC%29 ALIGN=MIDDLE  ALT=\"11x%5E2-x%2B8=%28x%5E2%2B4%29%28A%29%2B%28x%2B1%29%28Bx%2BC%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11x%5E2-x%2B8=A%28x%5E2%2B4%29%2B%28x%2B1%29%28Bx%2BC%29 ALIGN=MIDDLE  ALT=\"11x%5E2-x%2B8=A%28x%5E2%2B4%29%2B%28x%2B1%29%28Bx%2BC%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11x%5E2-x%2B8=A%28x%5E2%2B4%29%2BBx%5E2%2BCx%2BBx%2BC ALIGN=MIDDLE  ALT=\"11x%5E2-x%2B8=A%28x%5E2%2B4%29%2BBx%5E2%2BCx%2BBx%2BC\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11x%5E2-x%2B8=Ax%5E2%2B4A%2BBx%5E2%2BCx%2BBx%2BC ALIGN=MIDDLE  ALT=\"11x%5E2-x%2B8=Ax%5E2%2B4A%2BBx%5E2%2BCx%2BBx%2BC\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "Notice how the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > terms on the right side are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Ax%5E2 ALIGN=MIDDLE  ALT=\"Ax%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Bx%5E2 ALIGN=MIDDLE  ALT=\"Bx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Ax%5E2%2BBx%5E2=11x%5E2 ALIGN=MIDDLE  ALT=\"Ax%5E2%2BBx%5E2=11x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2BB=11 ALIGN=MIDDLE  ALT=\"A%2BB=11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Also, notice how the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > terms on the right side are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Bx ALIGN=MIDDLE  ALT=\"Bx\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Cx ALIGN=MIDDLE  ALT=\"Cx\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Bx%2BCx=-x ALIGN=MIDDLE  ALT=\"Bx%2BCx=-x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B%2BC=-1 ALIGN=MIDDLE  ALT=\"B%2BC=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Finally, the constant terms on the right side are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4A ALIGN=MIDDLE  ALT=\"4A\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C ALIGN=MIDDLE  ALT=\"C\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4A%2BC=8 ALIGN=MIDDLE  ALT=\"4A%2BC=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2BB=11 ALIGN=MIDDLE  ALT=\"A%2BB=11\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the first equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=11-A ALIGN=MIDDLE  ALT=\"B=11-A\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract A from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B%2BC=-1 ALIGN=MIDDLE  ALT=\"B%2BC=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Move onto the second equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11-A%2BC=-1 ALIGN=MIDDLE  ALT=\"11-A%2BC=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=11-A ALIGN=MIDDLE  ALT=\"B=11-A\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-A%2BC=-12 ALIGN=MIDDLE  ALT=\"-A%2BC=-12\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 11 from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4A%2B4C=-48 ALIGN=MIDDLE  ALT=\"-4A%2B4C=-48\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by 4.\r<BR>\n" );
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document.write( "Add this equation to equation #3\r<BR>\n" );
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document.write( "+<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4A%2BC=8 ALIGN=MIDDLE  ALT=\"4A%2BC=8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0A%2B5C=-40 ALIGN=MIDDLE  ALT=\"0A%2B5C=-40\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5C=-40 ALIGN=MIDDLE  ALT=\"5C=-40\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=-8 ALIGN=MIDDLE  ALT=\"C=-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 5.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4A%2BC=8 ALIGN=MIDDLE  ALT=\"4A%2BC=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Go back to the third equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4A-8=8 ALIGN=MIDDLE  ALT=\"4A-8=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=-8 ALIGN=MIDDLE  ALT=\"C=-8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4A=16 ALIGN=MIDDLE  ALT=\"4A=16\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 8 to both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=4 ALIGN=MIDDLE  ALT=\"A=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 4.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=11-A ALIGN=MIDDLE  ALT=\"B=11-A\"   DISABLED_style= \"max-width:90%; height:auto;\" > Move onto the first isolated equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=11-4 ALIGN=MIDDLE  ALT=\"B=11-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=4 ALIGN=MIDDLE  ALT=\"A=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=7 ALIGN=MIDDLE  ALT=\"B=7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract\r<BR>\n" );
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document.write( "So the value of the constants are \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=4 ALIGN=MIDDLE  ALT=\"A=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=7 ALIGN=MIDDLE  ALT=\"B=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=-8 ALIGN=MIDDLE  ALT=\"C=-8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So this means that the equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2811x%5E2-x%2B8%29%2F%28%28x%2B1%29%28x%5E2%2B4%29%29=%284%29%2F%28x%2B1%29%2B%287x-8%29%2F%28x%5E2%2B4%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
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