IMO 1984 LL BEL6

Let P, Q, R be the polynomials with real or complex coefficients

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IMO 1984 LL BEL6

Origin: BEL

Problem

Let P, Q, R be the polynomials with real or complex coefficients such that at least one of them is not constant. If P n +Qn +Rn = 0, prove that n < 3.