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BALTIC-WAY 2008 Problem 1

  • Answer

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

p((x+1)3)=(p(x)+1)3p\left((x+1)^{3}\right)=(p(x)+1)^{3}

and

p(0)=0p(0)=0

Dataset text NuminaMath olympiads. Quoted with source.

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p(x)=x

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