rational root theorem

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rational root theorem [′rash·ən·əl ‚rüt ‚thir·əm]

(mathematics)

The theorem that, if a rational numberp/q, wherepandqhave no common factors, is a root of a polynomial equation with integral coefficients, then the coefficient of the term of highest order is divisible byqand the coefficient of the term of lowest order is divisible byp.

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