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MathNet 2019-part-01 — 184 problems (EN–VI) Question 123

Math Olympiad Vault · MathNet 2019-part-01 — 184 problems (EN–VI)

Question 123

Find all non-constant polynomials $P(x)$ and $Q(x)$ with real coefficients satisfying the equality $P(Q(x)) = P(x)Q(x) - P(x)$.