# 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*.McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

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