document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=209289>Question 209289</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor completely:\r<BR>\n" );
document.write( "\n" );
document.write( "x^2 + 12x - 28 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #158204 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=158204\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Factor completely:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B12x-28 ALIGN=MIDDLE  ALT=\"x%5E2%2B12x-28\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The factors will have the form:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2Bm%29%28x%2Bn%29 ALIGN=MIDDLE  ALT=\"%28x%2Bm%29%28x%2Bn%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%2An+=+-28 ALIGN=MIDDLE  ALT=\"m%2An+=+-28\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%2Bn+=+12 ALIGN=MIDDLE  ALT=\"m%2Bn+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let's do the -28 factors first:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-28+=+-1%2A18 ALIGN=MIDDLE  ALT=\"-28+=+-1%2A18\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-28+=+1%2A%28-28%29 ALIGN=MIDDLE  ALT=\"-28+=+1%2A%28-28%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-28+=+-2%2A14 ALIGN=MIDDLE  ALT=\"-28+=+-2%2A14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-28+=+2%2A%28-14%29 ALIGN=MIDDLE  ALT=\"-28+=+2%2A%28-14%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-28+=+-4%2A7 ALIGN=MIDDLE  ALT=\"-28+=+-4%2A7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-28+=+4%2A%28-7%29 ALIGN=MIDDLE  ALT=\"-28+=+4%2A%28-7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now which of the pair of factors, when added, gives you 12?<BR>\n" );
document.write( "How about -2 and 14?, so m = -2 and n = 14, thus...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x%5E2%2B12x-28+=+%28x-2%29%28x%2B14%29%29 ALIGN=MIDDLE  ALT=\"highlight%28x%5E2%2B12x-28+=+%28x-2%29%28x%2B14%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );