document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=252385>Question 252385</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if one factor of six x to the 2nd power + 5x - 6 is 3x - 2 the factor is? <BR>\n" );
document.write( "1 3x+2<BR>\n" );
document.write( "2 6x+3<BR>\n" );
document.write( "3 2x+3<BR>\n" );
document.write( "4 2x-3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #184246 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=184246\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 6x^2+5x-6<BR>\n" );
document.write( "(3x-2)(2x+3)<BR>\n" );
document.write( "the first term needs to be 6x^2<BR>\n" );
document.write( "and we start with 3x <BR>\n" );
document.write( "so the other first term needs to be 2x<BR>\n" );
document.write( "we have  a choice of 2x+3 and 2x-3<BR>\n" );
document.write( "the final term is negative so we need one positive and one negative term at the end<BR>\n" );
document.write( "we started with -2 so we need +3<BR>\n" );
document.write( "so it must be 2x+3<BR>\n" );
document.write( "checking the middle term we see that using foil we get<BR>\n" );
document.write( "9x-4x which equals 5x<BR>\n" );
document.write( "so the other factor is 2x+3<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );