document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=83981>Question 83981</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Rewrite the middle term as the sum of two terms and then factor by grouping.<BR>\n" );
document.write( "     x^2 – 2x – 63<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #60452 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=60452\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Rewrite the middle term as the sum of two terms and then factor by grouping.<BR>\n" );
document.write( "x^2 – 2x – 63<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "Think of two numbers whose product is -63 and whose sum is -2.<BR>\n" );
document.write( "The numbers are -9 and +7<BR>\n" );
document.write( "Rewrite:<BR>\n" );
document.write( "x^2-9x+7x-63<BR>\n" );
document.write( "Factor the 1st two terms and the last two terms separately:<BR>\n" );
document.write( "= x(x-9)+7(x-9)<BR>\n" );
document.write( "Factor out the common factor:<BR>\n" );
document.write( "=(x-9)(x+7)<BR>\n" );
document.write( "===================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );