document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=253136>Question 253136</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you factor 3x squared + 31x + 36 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #185371 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=185371\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3x squared + 31x + 36<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "The 1st terms are 1 and 3.<BR>\n" );
document.write( "There are no minus signs, so it's<BR>\n" );
document.write( "(3x + a)*(x + b)<BR>\n" );
document.write( "a and b can be:<BR>\n" );
document.write( "1 and 36 (this won't work, 36 is too much, >31)<BR>\n" );
document.write( "2 and 18<BR>\n" );
document.write( "3 and 12<BR>\n" );
document.write( "4 and 9<BR>\n" );
document.write( "6 and 6<BR>\n" );
document.write( "Either a or b has to be an odd number, they can't both be even since 31 is odd.<BR>\n" );
document.write( "That leaves:<BR>\n" );
document.write( "3 and 12<BR>\n" );
document.write( "4 and 9<BR>\n" );
document.write( "--> (3x + 4)*(x + 9)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );