document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=113506>Question 113506</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Example:  Please help me solve this equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E4%2B2x%5E3-2x-1=0+ ALIGN=MIDDLE  ALT=\"+x%5E4%2B2x%5E3-2x-1=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #82593 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=82593\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve this equation:  x^4+2x^3-2x-1=0 <BR>\n" );
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document.write( "The coefficients add up to zero so x=1 is a root.<BR>\n" );
document.write( "Use synthetic division to find the other factors:<BR>\n" );
document.write( "1)....1....2....0....-2....-1<BR>\n" );
document.write( "-1...1....3....3.....1..|..0<BR>\n" );
document.write( "......1....2....1..|..0\r<BR>\n" );
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document.write( "Factors: (x+1) and (x-1)<BR>\n" );
document.write( "Quotient: x^2+2x+1<BR>\n" );
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document.write( "Factor the Quotient to get: (x+1)^2<BR>\n" );
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document.write( "Final solution:<BR>\n" );
document.write( "(x-1)(x+1)^3 = 0<BR>\n" );
document.write( "Zeroes: <BR>\n" );
document.write( "x=1<BR>\n" );
document.write( "x=-1 with multiplicity 3<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );