document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=138659>Question 138659</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all of the possible rational zeros of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x%5E3-3x%5E2%2B5x-6 ALIGN=MIDDLE  ALT=\"8x%5E3-3x%5E2%2B5x-6\"   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 #101181 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=101181\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Any rational zero can be found through this equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE Roots=\frac{p}{q}\"> where p and q are the factors of the last and first coefficients\r<BR>\n" );
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document.write( "So let's list the factors of -6 (the last coefficient):\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE p=\pm1, \pm2, \pm3, \pm6\">\r<BR>\n" );
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document.write( "Now let's list the factors of 8 (the first coefficient):\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE q=\pm1, \pm2, \pm4, \pm8\">\r<BR>\n" );
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document.write( "Now let's divide each factor of the last coefficient by each factor of the first coefficient\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{1}{1}, \frac{1}{2}, \frac{1}{4}, \frac{1}{8}, \frac{2}{1}, \frac{2}{2}, \frac{2}{4}, \frac{2}{8}, \frac{3}{1}, \frac{3}{2}, \frac{3}{4}, \frac{3}{8}, \frac{6}{1}, \frac{6}{2}, \frac{6}{4}, \frac{6}{8}, \frac{-1}{1}, \frac{-1}{2}, \frac{-1}{4}, \frac{-1}{8}, \frac{-2}{1}, \frac{-2}{2}, \frac{-2}{4}, \frac{-2}{8}, \frac{-3}{1}, \frac{-3}{2}, \frac{-3}{4}, \frac{-3}{8}, \frac{-6}{1}, \frac{-6}{2}, \frac{-6}{4}, \frac{-6}{8}\">\r<BR>\n" );
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document.write( "Now simplify\r<BR>\n" );
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document.write( "These are all the distinct rational zeros of the function that could occur\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE  1, \frac{1}{2}, \frac{1}{4}, \frac{1}{8}, 2, 3, \frac{3}{2}, \frac{3}{4}, \frac{3}{8}, 6, -1, \frac{-1}{2}, \frac{-1}{4}, \frac{-1}{8}, -2, -3, \frac{-3}{2}, \frac{-3}{4}, \frac{-3}{8}, -6\">\r<BR>\n" );
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