document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=156870>Question 156870</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0618803718/algebrahomeworkh>college algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> rule of signs to state the numbier of possible positive and negative real zeros of each polynomial function\r<BR>\n" );
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document.write( "P(x)=10x6 -9x5 -14x4 -8x3-18x2+x+6\r<BR>\n" );
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document.write( "I used my calculator to find the possible zeros and I understand there are 6 possible zeros <BR>\n" );
document.write( "so far x=-1,-.6, .5, 2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #115658 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=115658\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Possible Zeros:\r<BR>\n" );
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document.write( "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 10 (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, \pm5, \pm10\">\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}{5}, \frac{1}{10}, \frac{2}{1}, \frac{2}{2}, \frac{2}{5}, \frac{2}{10}, \frac{3}{1}, \frac{3}{2}, \frac{3}{5}, \frac{3}{10}, \frac{6}{1}, \frac{6}{2}, \frac{6}{5}, \frac{6}{10}, -\frac{1}{1}, -\frac{1}{2}, -\frac{1}{5}, -\frac{1}{10}, -\frac{2}{1}, -\frac{2}{2}, -\frac{2}{5}, -\frac{2}{10}, -\frac{3}{1}, -\frac{3}{2}, -\frac{3}{5}, -\frac{3}{10}, -\frac{6}{1}, -\frac{6}{2}, -\frac{6}{5}, -\frac{6}{10}\">\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}{5}, \frac{1}{10}, 2, \frac{2}{5}, 3, \frac{3}{2}, \frac{3}{5}, \frac{3}{10}, 6, \frac{6}{5}, -1, -\frac{1}{2}, -\frac{1}{5}, -\frac{1}{10}, -2, -\frac{2}{5}, -3, -\frac{3}{2}, -\frac{3}{5}, -\frac{3}{10}, -6, -\frac{6}{5}\">\r<BR>\n" );
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document.write( " </SPAN>\n" );
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