document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=756607>Question 756607</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a bound on the real zeros of the polynomial function f(x)=x^4+x^3-4x-6<BR>\n" );
document.write( "Every real zero of f lies between ______ and______. <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #460335 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=460335\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find a bound on the real zeros of the polynomial function: <BR>\n" );
document.write( "f(x)=x^4+x^3-4x-6<BR>\n" );
document.write( "using Rational Roots Theorem:\r<BR>\n" );
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document.write( "....0...|....1......1......0....-4....-6..              <BR>\n" );
document.write( "....1...|....1......2......2....-2....-8..<BR>\n" );
document.write( "....2...|....1......3......6..... 8....10(change in sign, root between 1 and 2) (all numbers positive, 2 is upper boundary)<BR>\n" );
document.write( "===================<BR>\n" );
document.write( "....0...|....1......1......0....-4....-6.. <BR>\n" );
document.write( "..-1...|....1......0......0....-4....-2.. <BR>\n" );
document.write( "..-2...|....1....-1......2....-8....10..(change in sign, root between -1 and -2) (numbers alternate in sign, -2 is lower boundary) </SPAN>\n" );
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