Last Updated：2025/12/08

(algebra) A theorem which states a constraint on rational solutions of a polynomial equation with integer coefficients.

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rational root theorem

Source Word

rational root theorem

Proper noun

(algebra) A theorem which states a constraint on rational solutions of a polynomial equation with integer coefficients.

Japanese Meaning

整数係数を持つ多項式方程式において、解が有理数であるための条件が示される定理

When solving integer-coefficient polynomials, I applied the rational root theorem to quickly list possible rational zeros.

係数が整数の多項式を解くとき、有理根定理を適用して可能な有理数の零点を素早く列挙しました。

Sense（1）

(algebra) A theorem which states a constraint on rational solutions of a polynomial equation with integer coefficients.