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In algebra, the rational root theorem (or rational root test, rational zero theorem, rational zero test or p/q theorem) states a constraint on rational solutions of a polynomial equation with integer coefficients. These solutions are the possible roots (equivalently, zeroes) of the polynomial on the left side of the equation. If a0 and an are nonzero,then each rational solution x,when written as a fraction x = p/q in lowest terms (i.e., the greatest common divisor of p and q is 1), satisfies

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• Rational root theorem
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• In algebra, the rational root theorem (or rational root test, rational zero theorem, rational zero test or p/q theorem) states a constraint on rational solutions of a polynomial equation with integer coefficients. These solutions are the possible roots (equivalently, zeroes) of the polynomial on the left side of the equation. If a0 and an are nonzero,then each rational solution x,when written as a fraction x = p/q in lowest terms (i.e., the greatest common divisor of p and q is 1), satisfies
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• In algebra, the rational root theorem (or rational root test, rational zero theorem, rational zero test or p/q theorem) states a constraint on rational solutions of a polynomial equation with integer coefficients. These solutions are the possible roots (equivalently, zeroes) of the polynomial on the left side of the equation. If a0 and an are nonzero,then each rational solution x,when written as a fraction x = p/q in lowest terms (i.e., the greatest common divisor of p and q is 1), satisfies * p is an integer factor of the constant term a0, and * q is an integer factor of the leading coefficient an. The rational root theorem is a special case (for a single linear factor) of Gauss's lemma on the factorization of polynomials. The integral root theorem is a special case of the rational root theorem if the leading coefficient an = 1.
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• Rational Zero Theorem
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