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October 6th, 2011, 08:26 PM   #1
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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.
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October 6th, 2011, 08:58 PM   #2
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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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