rational root theorem

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rational root theorem

[′rash·ən·əl ‚rüt ‚thir·əm]
(mathematics)
The theorem that, if a rational number p / q, where p and q have no common factors, is a root of a polynomial equation with integral coefficients, then the coefficient of the term of highest order is divisible by q and the coefficient of the term of lowest order is divisible by p.