document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=499737>Question 499737</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "2b^4+14b^3-16b-112\r<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 #337863 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=337863\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm assuming you want to factor this.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2b%5E4%2B14b%5E3-16b-112 ALIGN=MIDDLE  ALT=\"2b%5E4%2B14b%5E3-16b-112\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282b%5E4%2B14b%5E3%29%2B%28-16b-112%29 ALIGN=MIDDLE  ALT=\"%282b%5E4%2B14b%5E3%29%2B%28-16b-112%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Group the terms in two pairs.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2b%5E3%28b%2B7%29-16%28b%2B7%29 ALIGN=MIDDLE  ALT=\"2b%5E3%28b%2B7%29-16%28b%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out the GCF <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2b%5E3 ALIGN=MIDDLE  ALT=\"2b%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > out of the first group. Factor out the GCF <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-16 ALIGN=MIDDLE  ALT=\"-16\"   DISABLED_style= \"max-width:90%; height:auto;\" > out of the second group\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282b%5E3-16%29%28b%2B7%29 ALIGN=MIDDLE  ALT=\"%282b%5E3-16%29%28b%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Since we have the common term <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2B7 ALIGN=MIDDLE  ALT=\"b%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we can combine like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28b%5E3-8%29%28b%2B7%29 ALIGN=MIDDLE  ALT=\"2%28b%5E3-8%29%28b%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out the GCF 2 from the first group.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28b-2%29%28b%5E2%2B2b%2B4%29%28b%2B7%29 ALIGN=MIDDLE  ALT=\"2%28b-2%29%28b%5E2%2B2b%2B4%29%28b%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E3-8 ALIGN=MIDDLE  ALT=\"b%5E3-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > using the difference of cubes formula.\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2b%5E4%2B14b%5E3-16b-112 ALIGN=MIDDLE  ALT=\"2b%5E4%2B14b%5E3-16b-112\"   DISABLED_style= \"max-width:90%; height:auto;\" > factors to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28b-2%29%28b%5E2%2B2b%2B4%29%28b%2B7%29 ALIGN=MIDDLE  ALT=\"2%28b-2%29%28b%5E2%2B2b%2B4%29%28b%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2b%5E4%2B14b%5E3-16b-112=2%28b-2%29%28b%5E2%2B2b%2B4%29%28b%2B7%29 ALIGN=MIDDLE  ALT=\"2b%5E4%2B14b%5E3-16b-112=2%28b-2%29%28b%5E2%2B2b%2B4%29%28b%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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