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Prove that every coefficients of P(x) is rational numbers.

Source: MTRP 2018 Class 11-Short Answer Type Question: Problem 2 :-

February 17, 2021
polynomialalgebra

Problem Statement

P(x)P(x) is polynomial with real coefficients such that ∀n∈Z,P(n)∈Z\forall n \in \mathbb{Z}, P(n) \in \mathbb{Z}. Prove that every coefficients of P(x)P(x) is rational numbers.
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