olymmath

BALTIC-WAY 1994 Problem 5

    Let p(x)p(x) be a polynomial with integer coefficients such that both equations p(x)=1p(x)=1 and p(x)=3p(x)=3 have integer solutions. Can the equation p(x)=2p(x)=2 have two different integer solutions?

    Dataset text NuminaMath olympiads. Quoted with source.

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