document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=209265>Question 209265</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how is this algebra factoring problem done\r<BR>\n" );
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document.write( "   b^2 + 6b - 16 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #158192 by </B><A HREF=/tutors/aboutme.mpl?userid=RAY100><B>RAY100(1637)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=RAY100><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=158192\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> b^2 +6b -16<BR>\n" );
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document.write( "the  sign  of  last  term  is  negative,,,,,this  tells  us  that  the  middle  term  is  formed  by  the  difference  of  two  factors.<BR>\n" );
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document.write( "The  sign  of  the  middle  term  is  positive,,,,which  tells  us  that  the  largest  of  the  terms  is  positive,,,(in  difference  calc)<BR>\n" );
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document.write( "factors  of  (1) b^2  are  just  1*1<BR>\n" );
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document.write( "factors  of  (-16),,could  be,,,16*1,,,or 8*2,,or  4*4,,,,,,<BR>\n" );
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document.write( "Since  we  are  looking  for  a  difference  of  6,,,let's  try  8-2=6<BR>\n" );
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document.write( "(b +8) (b-2)<BR>\n" );
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document.write( "check  using  FOIL,,,b^2 -2b +8b -16 = b^2 +6b -16,,,ok </SPAN>\n" );
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