document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=187074>Question 187074</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0078279992/algebrahomeworkh>algebra2</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> List all the possible rational zeros of each function\r<BR>\n" );
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document.write( "16. p(x)=3x^3-5x^2-11x+3\r<BR>\n" );
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document.write( "p= (+or-)1, (+or-)3\r<BR>\n" );
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document.write( "q= (+or-)1, (+or-)3 \r<BR>\n" );
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document.write( "1/1, 1/3, 1/-3, -3/-3\r<BR>\n" );
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document.write( "rational zeros <BR>\n" );
document.write( "1,3,-3\r<BR>\n" );
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document.write( "Making sure if i did the division & simplifying part correct? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #140221 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=140221\">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 3 (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, \pm3\">\r<BR>\n" );
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document.write( "Now let's list the factors of 3 (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, \pm3\">\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}{3}, \frac{3}{1}, \frac{3}{3}, \frac{-1}{1}, \frac{-1}{3}, \frac{-3}{1}, \frac{-3}{3}\">\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}{3}, 3, -1, -\frac{1}{3}, -3\">\r<BR>\n" );
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document.write( " </SPAN>\n" );
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