My Math Forum Factoring Polynomials

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 October 6th, 2011, 07:26 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(ax-b) as their root? For example, f(x)=5x^3+4x^2+5x-1.
 October 6th, 2011, 07:58 PM #2 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,204 Thanks: 511 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: $x=\pm\frac{1}{5},\pm1$

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