document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=207700>Question 207700</A>: <I><SPAN STYLE=\"word-break: break-all;\"> factor trinomial with a-c method<BR>\n" );
document.write( "3x^2+32x+45 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #157104 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=157104\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> factor trinomial with a-c method<BR>\n" );
document.write( "3x^2+32x+45<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "a time c = 3*45 = 135<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "Think of two numbers whose product is 135 and whose sum is -32.<BR>\n" );
document.write( "The numbers are 27 and 5<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Replace the 32y by 27y+5y<BR>\n" );
document.write( "---<BR>\n" );
document.write( "3x^2+27x+5x+45<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Factor the 1st two and the last two terms separately:<BR>\n" );
document.write( "3x(x+9) + 5(x+9)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Factor again:<BR>\n" );
document.write( "(x+9)(3x+5)<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" );