document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=695450>Question 695450</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The expression 2x^3+x^2-7x-6 factorizes into a product of three factors.<BR>\n" );
document.write( "Given that two of the factors are (x+1) and (x-2), write down its third factor.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #428505 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=428505\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The expression 2x^3+x^2-7x-6 factorizes into a product of three factors.<BR>\n" );
document.write( "Given that two of the factors are (x+1) and (x-2), write down its third factor.<BR>\n" );
document.write( "**<BR>\n" );
document.write( "use synthetic division:<BR>\n" );
document.write( ".....2....|...2......1.......-7.....-6.......<BR>\n" );
document.write( ".......................4........10.....6....<BR>\n" );
document.write( "..............2.......5.........3......0...<BR>\n" );
document.write( "(x-2)(2x^2+5x+3)=0<BR>\n" );
document.write( "(x-2)(x+1)(2x+3)=0<BR>\n" );
document.write( "third factor: (2x+3) </SPAN>\n" );
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