English Dictionary

rational root theorem

固有名詞

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

日本語の意味

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。

意味（1）

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

The rational root theorem states that if the rational number p/q is a root of the polynomial equation a_nxⁿ+a_n-1xⁿ⁻¹+⋯+a_0=0, with a_0,…a_n∈ℤ, then p|a_0 and q|a_n.