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October 6th, 2011, 08:26 PM  #1 
Newbie Joined: Aug 2011 Posts: 24 Thanks: 0  Factoring Polynomials
Do all polynomials with a leading coefficient other than 1 have a fraction(axb) as their root? For example, f(x)=5x^3+4x^2+5x1.

October 6th, 2011, 08:58 PM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,205 Thanks: 512 Math Focus: Calculus/ODEs  Re: Factoring Polynomials
Take a look at the rational root theorem to see what its implications are. The example you gave has no rational roots, but if it did it would come from the list: 

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