document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1010528>Question 1010528</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the polynomial:\r<BR>\n" );
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document.write( "x^4+x^3-6x^2-14x-12=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #625988 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=625988\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^4+x^3-6x^2-14x-12=0.  Roots possible include +/- 12,6,4,3,and 2.  It has one sign change, so it has one positive root.  f(-x) +/-/-/+/-, so there are 3 or 1 negative roots.<BR>\n" );
document.write( "1 ;;1;;-6;;-14;;-12<BR>\n" );
document.write( "1;;-1;;-4;;-6  synthetic division using -2 as a root or (x+2)<BR>\n" );
document.write( "now we have x^3-x^2-4x-6<BR>\n" );
document.write( "1;;-1;;-4;;-6  try 3<BR>\n" );
document.write( "1;;2;;2;;0.  That works (x-3)<BR>\n" );
document.write( "x^2+2x+2. That has complex roots.\r<BR>\n" );
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