Find all polynomials \( P \) with real coefficients such that \( P(x) \in \mathbb{Q} \) implies \( x \in \mathbb{Q} \).
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Find all polynomials \( P \) with real coefficients such that \( P(x) \in \mathbb{Q} \) implies \( x \in \mathbb{Q} \).
Can we consider the codomain of P(x) to be \mathbb{C}?