document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=164286>Question 164286</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073533490/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Factor each polynomial completely say if it is prime<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%5E3-50x ALIGN=MIDDLE  ALT=\"-2x%5E3-50x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #121046 by </B><A HREF=/tutors/aboutme.mpl?userid=themathprof><B>themathprof(21)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=themathprof><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=121046\">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=-2x%5E3-50x ALIGN=MIDDLE  ALT=\"-2x%5E3-50x\"   DISABLED_style= \"max-width:90%; height:auto;\" >=GCF(other factor)\r<BR>\n" );
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document.write( "2 steps<BR>\n" );
document.write( "#1 Find the GCF<BR>\n" );
document.write( "#2 Find the other factor\r<BR>\n" );
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document.write( "We look for the GCF or greatest common factor.<BR>\n" );
document.write( "we then divide each term by the GCF to get the 'other factor'\r<BR>\n" );
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document.write( "There are two terms <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%5E3 ALIGN=MIDDLE  ALT=\"-2x%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and -50<BR>\n" );
document.write( "There is a common factor of 2 in both.<BR>\n" );
document.write( "Or, you could also say that there is a common factor of -2\r<BR>\n" );
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document.write( "Since the first term starts with a NEGAtive, and it <BR>\n" );
document.write( "usually easier to factor when the 1st term is POSitive, <BR>\n" );
document.write( "we will 'factor', or 'factor out', or 'take out' a -2.<BR>\n" );
document.write( "Thus, -2 is the GCF or greatest common<BR>\n" );
document.write( "factor.\r<BR>\n" );
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document.write( "So far we have -2x^3-50x=-2(other factor)\r<BR>\n" );
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document.write( "To find the 'other factor' after taking out a -2 we divide<BR>\n" );
document.write( "each term by -2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%5E3%2F-2+=+x%5E3++++++-50%2F-2+=+%2B25 ALIGN=MIDDLE  ALT=\"-2x%5E3%2F-2+=+x%5E3++++++-50%2F-2+=+%2B25\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%5E3-50x=-2%28x%5E3%2B25%29+++ ALIGN=MIDDLE  ALT=\"-2x%5E3-50x=-2%28x%5E3%2B25%29+++\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The problem is not prime because we were able to<BR>\n" );
document.write( "factor.\r<BR>\n" );
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document.write( "Prof Martin Weissman<BR>\n" );
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document.write( "www.math911.com </SPAN>\n" );
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