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Rational root theorem

Relationship between the rational roots of a polynomial and its extreme coefficients

Rational root theorem

Uncommon card · No. 176739

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 a n x n + a n − 1 x n − 1 + ⋯ + a 0 = 0 {\displaystyle a_{n}x^{n}+a_{n-1}x^{n-1}+\cdots +a_{0}=0} with integer coefficients a i ∈ Z {\displaystyle a_{i}\in \mathbb {Z} } and a 0...

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