document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=37751>Question 37751</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2x^2+11x-6/x+6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #24154 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=24154\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The key is to factor the numerator!  This is usually a tough factoring problem, but since the denominator has a factor of (x+6), you might just expect a factor of (x+6) in the numerator also.  Otherwise, there won't be anything to do in this problem.\r<BR>\n" );
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document.write( "I'd start with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B11x-6+ ALIGN=MIDDLE  ALT=\"2x%5E2%2B11x-6+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and realize it has to start out <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282x______%29%2A%28x_______%29+ ALIGN=MIDDLE  ALT=\"+%282x______%29%2A%28x_______%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Expecting the factor of x+6 to show up here, I would next try:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282x______%29%2A%28x%2B6%29+ ALIGN=MIDDLE  ALT=\"+%282x______%29%2A%28x%2B6%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Since the LAST term has to be a -6, this means that the blank space left in the previous step will have to be -1.  Do you follow this?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282x-1%29%2A%28x%2B6%29+ ALIGN=MIDDLE  ALT=\"+%282x-1%29%2A%28x%2B6%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Now, check the middle term:  12x - 1x = + 11x.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282x%5E2%2B11x-6%29%2F%28x%2B6%29 ALIGN=MIDDLE  ALT=\"+%282x%5E2%2B11x-6%29%2F%28x%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282x-1%29%28x%2B6%29%29%2F%28x%2B6%29+ ALIGN=MIDDLE  ALT=\"%28%282x-1%29%28x%2B6%29%29%2F%28x%2B6%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide out the x+6 factors, and you have a final answer of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-1 ALIGN=MIDDLE  ALT=\"2x-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "R^2 at SCC </SPAN>\n" );
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