document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1089810>Question 1089810</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5.<BR>\n" );
document.write( "Use the rational zeros theorem to list the potential rational zeros of the polynomial function. Do not attempt to find the zeros.\r<BR>\n" );
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document.write( "f (x) = 2x^11&#8722;x^9+ 3x^8 + 28\r<BR>\n" );
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document.write( "Find the potential Rational zeros.\r<BR>\n" );
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document.write( "A.<BR>\n" );
document.write( "&#8722;1, 1, &#8722;2, 2, &#8722;4, 4, &#8722;7, 7, &#8722;14, 14, &#8722;28, 28, &#8722;1/2, 1/2, &#8722;7/2, 7/2\r<BR>\n" );
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document.write( "B.<BR>\n" );
document.write( "&#8722;1, 1, &#8722;2, 2, &#8722;4, 4, &#8722;7, 7, &#8722;28, 28, &#8722;1/2, 1/2, &#8722;1/28, 1/28\r<BR>\n" );
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document.write( "C.<BR>\n" );
document.write( "&#8722;1, 1, &#8722;2, 2, &#8722;4, 4, &#8722;7, 7, &#8722;28, 28, &#8722;1/2, 1/2, &#8722;7/2, 7/2, &#8722;1/28, 1/28\r<BR>\n" );
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document.write( "D.<BR>\n" );
document.write( "&#8722;1, 1, &#8722;2, 2, &#8722;4, 4, &#8722;7, 7, &#8722;14, 14, &#8722;28, 28, &#8722;1/2, 1/2, &#8722;1/28, 1/28\r<BR>\n" );
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document.write( "Choose A, B, C, OR D. (SHOW WORK)<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #704204 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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/cgi-bin/show-face.mpl?user=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=704204\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> All the potential zeros have the form p/q  where p is a factor of the constant term and q is a factor of the leading coefficient.   Since the constant term is 28, p can take on +/- { 1,2,4,7,14,28}.  Since the leading coefficient is 2, q can take on values +/-{1,2}<BR>\n" );
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document.write( "Answer <b>A</b> is the only one that has all p/q that fit these constraints.<BR>\n" );
document.write( "[ It is easy to eliminate the other choices because they each have +/- 1/28 ]. <BR>\n" );
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