document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=145526>Question 145526</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Using Rational Zero Theorem- Find all rational zeros of the polynomial<BR>\n" );
document.write( "8x^3-10x^2-17x+10 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #106175 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=106175\">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" );
document.write( "<BR>\n" );
document.write( "\n" );
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" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So let's list the factors of 10 (the last coefficient):\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE p=\pm1, \pm2, \pm5, \pm10\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now let's list the factors of 8 (the first coefficient):\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE q=\pm1, \pm2, \pm4, \pm8\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now let's divide each factor of the last coefficient by each factor of the first coefficient\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
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{5}{1}, \frac{5}{2}, \frac{5}{4}, \frac{5}{8}, \frac{10}{1}, \frac{10}{2}, \frac{10}{4}, \frac{10}{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{-5}{1}, \frac{-5}{2}, \frac{-5}{4}, \frac{-5}{8}, \frac{-10}{1}, \frac{-10}{2}, \frac{-10}{4}, \frac{-10}{8}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now simplify\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "These are all the distinct rational zeros of the function that could occur\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE  1, \frac{1}{2}, \frac{1}{4}, \frac{1}{8}, 2, 5, \frac{5}{2}, \frac{5}{4}, \frac{5}{8}, 10, -1, \frac{-1}{2}, \frac{-1}{4}, \frac{-1}{8}, -2, -5, \frac{-5}{2}, \frac{-5}{4}, \frac{-5}{8}, -10\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );