document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=375001>Question 375001</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When finding the greatest common factor of a polynomial, can the factor ever be larger than the smallest coefficient? Can it ever be smaller than the smallest coefficient? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #266685 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=266685\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "I'm going to assume that you mean \"...can the absolute value of the numerical coefficient ever be larger than the smallest numerical coefficient in the polynomial...\"\r<BR>\n" );
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document.write( "No.  If the coefficient in the potential factor were larger than any of the coefficients in the polynomial, then that coefficient couldn't be a factor of that term of the polynomial.\r<BR>\n" );
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document.write( "Yes.  Consider a three term polynomial with numerical coefficients of 6, 34, and 22.  The GCF of the polynomial would have a numerical coefficient of 2 which is smaller than all of the coefficients.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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