document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=520190>Question 520190</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do I solve <BR>\n" );
document.write( "2x^3+3x^2-65x+84+0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #345966 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=345966\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve <BR>\n" );
document.write( "2x^3+3x^2-65x+84 = 0<BR>\n" );
document.write( "----<BR>\n" );
document.write( "I graphed it and found a rational zero at x = -7<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Then, using synthetic division, I got:<BR>\n" );
document.write( "-7)....2....3....-65....84<BR>\n" );
document.write( ".......2.....-11...12...|..0<BR>\n" );
document.write( "----\r<BR>\n" );
document.write( "\n" );
document.write( "Quotient: 2x^2-11x+12 = 0<BR>\n" );
document.write( "2x^2-8x-3x+12 = 0<BR>\n" );
document.write( "2x(x-4)-3(x-4) = 0<BR>\n" );
document.write( "(x-4)(2x-3) = 0<BR>\n" );
document.write( "x = 4 or x = 3/2<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Final answer: x = -7 or x = 3/2 or x = 4<BR>\n" );
document.write( "============================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );