document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=91217>Question 91217</A>: <I><SPAN STYLE=\"word-break: break-all;\"> factoring a quadratic with leading coefficient greater than one<BR>\n" );
document.write( "2y^2+15y+28 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #66197 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=66197\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> factoring a quadratic with leading coefficient greater than one<BR>\n" );
document.write( "2y^2+15y+28<BR>\n" );
document.write( "ac=2*28=56<BR>\n" );
document.write( "b=15<BR>\n" );
document.write( "Think of two numbers whose product is 56 and whose sum is 15<BR>\n" );
document.write( "The numbers are 7 and 8<BR>\n" );
document.write( "Replace 15y by 7y+8y to get:<BR>\n" );
document.write( "2y^2+7y+8y+28<BR>\n" );
document.write( "Factor to get:<BR>\n" );
document.write( "y(2y+7)+4(2y+7)<BR>\n" );
document.write( "Factor again to get:<BR>\n" );
document.write( "(2y+7)(y+4)<BR>\n" );
document.write( "=============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );