olymmath

RMO 2015 M3

  • Mumbai Region

Let P(x) a non-constant polynomial whose coefficients are positive integers. If P(n) divides P(P(n)-2015) for every natural no. n, prove that P (-2015) =0.

Dataset text AI-MO AoPS. Quoted with source.

Official text: Indian Regional Mathematical Olympiad 2015 official paper, page 1.

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