document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=229599>Question 229599</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor the trinomial.\r<BR>\n" );
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document.write( "b^3-2b^2-63b </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #170201 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=170201\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Factor:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E3-2b%5E2-63b ALIGN=MIDDLE  ALT=\"b%5E3-2b%5E2-63b\"   DISABLED_style= \"max-width:90%; height:auto;\" > First, since each term has common factor of b, a b can be factored.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%28b%5E2-2b-63%29 ALIGN=MIDDLE  ALT=\"b%28b%5E2-2b-63%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "Now look at the constant term (-63) and see what its factors are:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-63+=+3%28-21%29 ALIGN=MIDDLE  ALT=\"-63+=+3%28-21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-63+=+-3%2821%29 ALIGN=MIDDLE  ALT=\"-63+=+-3%2821%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-63+=+7%28-9%29 ALIGN=MIDDLE  ALT=\"-63+=+7%28-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-63+=+-7%289%29 ALIGN=MIDDLE  ALT=\"-63+=+-7%289%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now you need the pair of factors from the above list whose sum is -2 (the coefficient of the center term of the trinomial.<BR>\n" );
document.write( "A quick look will show that the pair that meets this requirement is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%28-9%29 ALIGN=MIDDLE  ALT=\"7%28-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2B%28-9%29+=+-2 ALIGN=MIDDLE  ALT=\"7%2B%28-9%29+=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Now you can finish the factoring process.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28b%5E3-2b%5E2-63b+=+b%28b%2B7%29%28b-9%29%29 ALIGN=MIDDLE  ALT=\"highlight%28b%5E3-2b%5E2-63b+=+b%28b%2B7%29%28b-9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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