IMO 1979 LL HUN42

Let a quadratic polynomial g(x) = ax2 + bx + c be given and

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IMO 1979 LL HUN42

Origin: HUN

Problem

Let a quadratic polynomial g(x) = ax2 + bx + c be given and an integer n \geq1. Prove that there exists at most one polynomial f(x) of nth degree such that f(g(x)) = g(f(x)).