olymmath

CMO 2013 Problem 1

  • Paper

Determine all polynomials P(x)P(x) with real coefficients such that

(x+1)P(x−1)−(x−1)P(x)(x+1) P(x-1)-(x-1) P(x)

is a constant polynomial.

Dataset text NuminaMath olympiads. Quoted with source.

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