document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=77978>Question 77978</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395430526/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> factor \r<BR>\n" );
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document.write( "10x^2-15X^3-20X^4\r<BR>\n" );
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document.write( "ax^2n-a </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #55863 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=55863\">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=10x%5E2-15x%5E3-20x%5E4 ALIGN=MIDDLE  ALT=\"10x%5E2-15x%5E3-20x%5E4\"   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=-20x%5E4-15x%5E3%2B10x%5E2 ALIGN=MIDDLE  ALT=\"-20x%5E4-15x%5E3%2B10x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange in descending order\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%5E2%28-4x%5E2-3x%2B2%29 ALIGN=MIDDLE  ALT=\"5x%5E2%28-4x%5E2-3x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out the GCF of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%5E2 ALIGN=MIDDLE  ALT=\"5x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "Now lets factor the polynomial in the parenthesis (I factored out a negative 1 also):\r<BR>\n" );
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document.write( "ERROR Algebra::Solver::Engine::invoke_solver_noengine: solver not defined for name 'quadratic_factoring'.\n" );
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document.write( " <TR><TD >Error occurred executing solver 'quadratic_factoring' .</TD></TR>\n" );
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document.write( "This means that we cannot reduce <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-4x%5E2-3x%2B2%29 ALIGN=MIDDLE  ALT=\"%28-4x%5E2-3x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > any further\r<BR>\n" );
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document.write( "So the polynomial <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x%5E2-15x%5E3-20x%5E4 ALIGN=MIDDLE  ALT=\"10x%5E2-15x%5E3-20x%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > factors to\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%5E2%28-4x%5E2-3x%2B2%29 ALIGN=MIDDLE  ALT=\"5x%5E2%28-4x%5E2-3x%2B2%29\"   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=ax%5E%282n%29-a ALIGN=MIDDLE  ALT=\"ax%5E%282n%29-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%28x%5E%282n%29-1%29 ALIGN=MIDDLE  ALT=\"a%28x%5E%282n%29-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out the GCF of a. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28x%5En%2B1%29%28x%5En-1%29 ALIGN=MIDDLE  ALT=\"a%28x%5En%2B1%29%28x%5En-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor using difference of squares. Notice if we foil we get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28x%5En%2B1%29%28x%5En-1%29=a%28x%5E%28n%2Bn%29%2Bx%5En-x%5En-1%29=a%28x%5E%282n%29-1%29 ALIGN=MIDDLE  ALT=\"a%28x%5En%2B1%29%28x%5En-1%29=a%28x%5E%28n%2Bn%29%2Bx%5En-x%5En-1%29=a%28x%5E%282n%29-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the expression <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E%282n%29-a ALIGN=MIDDLE  ALT=\"ax%5E%282n%29-a\"   DISABLED_style= \"max-width:90%; height:auto;\" > factors to\r<BR>\n" );
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