document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=139261>Question 139261</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor trinomials.<BR>\n" );
document.write( "2x^2+7x-15<BR>\n" );
document.write( "(2x   )(7x   )<BR>\n" );
document.write( "How? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #101559 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=101559\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2x^2+7x-15<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Using the AC Method to factor:<BR>\n" );
document.write( "Think of two numbers whose product is ac = 2*-15 = -30<BR>\n" );
document.write( "and whose sum is b = 7<BR>\n" );
document.write( "-----------------------------------------<BR>\n" );
document.write( "The numbers are 10 and -3<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "Replace 7x by 10x-3x to get:<BR>\n" );
document.write( "2x^2 + 10x - 3x - 15<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Factor the 1st two and the last two terms separately:<BR>\n" );
document.write( "2x(x+5)-3(x+5)<BR>\n" );
document.write( "Factor again to get the final answer:<BR>\n" );
document.write( "(x+5)(2x-3)<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" );