document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=550005>Question 550005</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use synthetic division to determine which pair of integers provide both a lower and an upper bound for the zeros of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28X%29=2X%5E4-X%5E3-23X%5E2%2B46X-24 ALIGN=MIDDLE  ALT=\"f%28X%29=2X%5E4-X%5E3-23X%5E2%2B46X-24\"   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 #358290 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=358290\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(X)=2X^4-X^3-23X^2+46X-24<BR>\n" );
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document.write( "Using the Rational Roots Theorem:\r<BR>\n" );
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document.write( "....0....|......2......-1......-23.......46.......-24<BR>\n" );
document.write( "....1....|......2.......1.......-22.......24..........0 (1 is a root)<BR>\n" );
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document.write( "....0....|......2.......1.......-22.......24<BR>\n" );
document.write( "....2....|......2.......5.......-12.......0 (2 is a root)<BR>\n" );
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document.write( "....0....|......2.......5.......-12<BR>\n" );
document.write( "....3....|......2......11........21 (3 is upper bound-all numbers positive)<BR>\n" );
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document.write( "....0....|......2........5......-12<BR>\n" );
document.write( "..-1....|......2........3......-15<BR>\n" );
document.write( "..-2....|......2........1......-14<BR>\n" );
document.write( "..-3....|......2......-1......-9<BR>\n" );
document.write( "..-4....|......2......-3.......0 (-4 is a root)<BR>\n" );
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document.write( "....0....|......2......-3<BR>\n" );
document.write( "..-5....|......2......-13 (-5 is lower bound-alternate sign of numbers)<BR>\n" );
document.write( "f(x)=(x-1)(x-2)(x+4)(2x-3)<BR>\n" );
document.write( "ans:<BR>\n" );
document.write( "Upper bound and lower bound for zeros: x=3 and x=-5 respectivelly </SPAN>\n" );
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