document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=187061>Question 187061</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( "14) f(x)= 3x^4+15\r<BR>\n" );
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document.write( "p=(+or-)1: (+or-)15: (+or-)3: (+or-)5:\r<BR>\n" );
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document.write( "q= (+or-) 3 \"\r<BR>\n" );
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document.write( "if q isn't right then, how would you know what is q?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #140217 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=140217\">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 15 (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, \pm5, \pm15\">\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{5}{1}, \frac{5}{3}, \frac{15}{1}, \frac{15}{3}, \frac{-1}{1}, \frac{-1}{3}, \frac{-3}{1}, \frac{-3}{3}, \frac{-5}{1}, \frac{-5}{3}, \frac{-15}{1}, \frac{-15}{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, 5, \frac{5}{3}, 15, -1, -\frac{1}{3}, -3, -5, -\frac{5}{3}, -15\"><BR>\n" );
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