document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=74170>Question 74170</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have not got it<BR>\n" );
document.write( "8x^3-6x^2+2x<BR>\n" );
document.write( "over<BR>\n" );
document.write( "4x+1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #53192 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=53192\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Simplify:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288x%5E3-6x%5E2%2B2x%29%2F%284x%2B1%29 ALIGN=MIDDLE  ALT=\"%288x%5E3-6x%5E2%2B2x%29%2F%284x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "First look for common factors in the three terms of the numerator.  Notice that each term <BR>\n" );
document.write( "has an x.  Also notice that the numerical numbers of each term are divisible by 2.  Therefore,<BR>\n" );
document.write( "we can pull out a 2x from every term and make it a multiplier of what's left.  When we do that<BR>\n" );
document.write( "the numerator becomes:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2A%284x%5E2+-+3x+%2B+1%29 ALIGN=MIDDLE  ALT=\"2x%2A%284x%5E2+-+3x+%2B+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "As a check you can multiply this out to see if you don't get back to the original numerator.<BR>\n" );
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document.write( "Unfortunately, there are no more real factors in the numerator so that's as far as you <BR>\n" );
document.write( "can go with this one. The answer is:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2A%284x%5E2+-+3x+%2B+1%29%29%2F%284x%2B1%29 ALIGN=MIDDLE  ALT=\"%282x%2A%284x%5E2+-+3x+%2B+1%29%29%2F%284x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "I'm not sure how much this helps, but it tells you that there are no more real factors in<BR>\n" );
document.write( "the numerator. </SPAN>\n" );
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