olymmath

RMM 2018 Problem 2

  • Day 1

Determine whether there exist non-constant polynomials P(x)P(x) and Q(x)Q(x) with real coefficients satisfying

P(x)10+P(x)9=Q(x)21+Q(x)20.P(x)^{10}+P(x)^{9}=Q(x)^{21}+Q(x)^{20} .

Dataset text NuminaMath olympiads. Quoted with source.

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