document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=144118>Question 144118</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider f(x) = 3x^4 - 11x^3 + 10x - 4; use the Rational Zero Theorem to find a zero.\r<BR>\n" );
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document.write( "a.  x = 0<BR>\n" );
document.write( "b.  x = 1<BR>\n" );
document.write( "c.  x = -5<BR>\n" );
document.write( "d.  x = -1\r<BR>\n" );
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document.write( "The constant term is -4 and the leading coefficient is 3.  Then\r<BR>\n" );
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document.write( "constant term:  1, -1, 2, -2, 4, -4<BR>\n" );
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document.write( "leading coefficient:  1, -1, 2, -2, 4, -4, 1/3, -1/3, 2/3, -2/3, 4/3, -4/3\r<BR>\n" );
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document.write( "There is no solution set????  Help    </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #104884 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=104884\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You have identified all of the possible rational zeros.  Only 2 of them are represented in your set of answers, so you only have to check those two.  Remember that if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a zero, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28a%29=0 ALIGN=MIDDLE  ALT=\"f%28a%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+3x%5E4+-+11x%5E3+%2B+10x+-+4 ALIGN=MIDDLE  ALT=\"f%28x%29+=+3x%5E4+-+11x%5E3+%2B+10x+-+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%281%29+=+3%281%29%5E4+-+11%281%29%5E3+%2B+10%281%29+-+4=3-11%2B10-4=-2 ALIGN=MIDDLE  ALT=\"f%281%29+=+3%281%29%5E4+-+11%281%29%5E3+%2B+10%281%29+-+4=3-11%2B10-4=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Therefore not a zero<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-1%29+=+3%28-1%29%5E4+-+11%28-1%29%5E3+%2B+10%28-1%29+-+4=3%2B11-10-4=0 ALIGN=MIDDLE  ALT=\"f%28-1%29+=+3%28-1%29%5E4+-+11%28-1%29%5E3+%2B+10%28-1%29+-+4=3%2B11-10-4=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Therefore -1 is a zero.\r<BR>\n" );
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document.write( "Answer d.\r<BR>\n" );
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document.write( "Super Double Plus Extra Credit:<BR>\n" );
document.write( "Are there any other rational zeros?  Hint: Use polynomial long division or synthetic division to divide <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29 ALIGN=MIDDLE  ALT=\"f%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B1 ALIGN=MIDDLE  ALT=\"x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Remember to include <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0x%5E2 ALIGN=MIDDLE  ALT=\"0x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > as a place holder.  Repeat use of the Rational Zero Theorem to find any zeros for the 3rd degree polynomial quotient.\r<BR>\n" );
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