document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=319714>Question 319714</A>: <I><SPAN STYLE=\"word-break: break-all;\"> given: <BR>\n" );
document.write( "P(x)=x^4-x^3-5x^2-x+6\r<BR>\n" );
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document.write( "Find all real and non- real zeroes of P(x).\r<BR>\n" );
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document.write( "Thanks for taking the time to look at this problem, the concept of this type of problem is a bit confusing to me at the moment and I am not really sure if I am working them right.  Appreciate any input that can be given. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #228969 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=228969\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  given: <BR>\n" );
document.write( "P(x)=x^4-x^3-5x^2-x+6 <BR>\n" );
document.write( "Find all real and non- real zeroes of P(x). <BR>\n" );
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document.write( "Note: Since the coefficients add up to zero, x = 1 is a zero.<BR>\n" );
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document.write( "Use synthetic division to find other zeroes:<BR>\n" );
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document.write( "1)....1....-1....-5....-1....6<BR>\n" );
document.write( ".......1.....0.....-5....-6...|..0\r<BR>\n" );
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document.write( "Quotient: x^3 -5x -6<BR>\n" );
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document.write( "This quotient has a zero around x = 2.6891,<BR>\n" );
document.write( "but that is the only Real zero my calculator<BR>\n" );
document.write( "will pick up.<BR>\n" );
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document.write( "It appears there are two complex zeroes, but<BR>\n" );
document.write( "I cannot pin them down.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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