document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=102007>Question 102007</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534493947/algebrahomeworkh>Intermediate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Help!! They're killing me. If only they would explain it in more Laymens terms; but they don't. I have been unable to figure out simplifying these type problems, same with multiplying and simplifying, can some one show me the steps to solving when you divide and simplify, PLEASE?\r<BR>\n" );
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document.write( "Divide and Simplify:\r<BR>\n" );
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document.write( "3x^2 + 13x + 4    <BR>\n" );
document.write( "--------------    <BR>\n" );
document.write( "16 - x^2           <BR>\n" );
document.write( "Divided by: <BR>\n" );
document.write( "3x^2 -5x -12<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "3x - 12<BR>\n" );
document.write( "Thank You eversomuch!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #74155 by </B><A HREF=/tutors/aboutme.mpl?userid=mathemanic><B>mathemanic(13)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathemanic><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=74155\">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=+%28%283x%5E2+%2B+13x+%2B+4%29+%2F+%2816+-+x%5E2%29%29+%2F+%28%283x%5E2+-5x+-12%29+%2F+%283x+-+12%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%283x%5E2+%2B+13x+%2B+4%29+%2F+%2816+-+x%5E2%29%29+%2A+%28%283x+-+12%29+%2F+%283x%5E2+-5x+-12%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%28%283x%5E2+%2B+13x+%2B+4%29+%2A+%283x+-+12%29%29+%2F+%28%2816+-+x%5E2%29+%2A+%283x%5E2+-5x+-12%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "First, factorize the highlighted part.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283x%5E2+%2B+13x+%2B+4%29+%2A+%283x+-+12%29+ ALIGN=MIDDLE  ALT=\"+%283x%5E2+%2B+13x+%2B+4%29+%2A+%283x+-+12%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283x+%2B+1%29%2A%28x+%2B+4%29+%2A+3%2A%28x+-+4%29+ ALIGN=MIDDLE  ALT=\"+%283x+%2B+1%29%2A%28x+%2B+4%29+%2A+3%2A%28x+-+4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%283x+%2B+1%29%2A%28x+%2B+4%29+%2A+3%2A%28x+-+4%29%29+%2F+highlight%28%2816+-+x%5E2%29+%2A+%283x%5E2+-5x+-12%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Again, with the highlighted part\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%2816+-+x%5E2%29+%2A+%283x%5E2+-5x+-12%29+ ALIGN=MIDDLE  ALT=\"+%2816+-+x%5E2%29+%2A+%283x%5E2+-5x+-12%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%284+-+x%29%2A%284+%2B+x%29+%2A+%283x+%2B+4%29%2A%28x+-+3%29+ ALIGN=MIDDLE  ALT=\"+%284+-+x%29%2A%284+%2B+x%29+%2A+%283x+%2B+4%29%2A%28x+-+3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-1+%2A+%28x+-+4%29%2A%28x+%2B+4%29+%2A+%283x+%2B+4%29%2A%28x+-+4%29+ ALIGN=MIDDLE  ALT=\"+-1+%2A+%28x+-+4%29%2A%28x+%2B+4%29+%2A+%283x+%2B+4%29%2A%28x+-+4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the original problem becomes\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%283x+%2B+1%29%2A%28x+%2B+4%29+%2A+3%2A%28x+-+4%29%29+%2F+%28-1+%2A+%28x+-+4%29%2A%28x+%2B+4%29+%2A+%283x+%2B+4%29%2A%28x+-+4%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Some of the factors cancel each other, therefore:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%283x+%2B+1%29%2Across%28%28x+%2B+4%29%29+%2A+3%2Across%28%28x+-+4%29%29%29+%2F+%28-1+%2A+cross%28%28x+-+4%29%29%2Across%28%28x+%2B+4%29%29+%2A+%283x+%2B+4%29%2A%28x+-+4%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "It can't be simplified any further, so the answer would be\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-+3+%2A+%283x+%2B+1%29+%2F+%283x+%2B+4%29+%2F+%28x+-+3%29+ ALIGN=MIDDLE  ALT=\"+-+3+%2A+%283x+%2B+1%29+%2F+%283x+%2B+4%29+%2F+%28x+-+3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Hope that'll help. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );