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IMC 2023 Problem 3

    Find all polynomials PP in two variables with real coefficients satisfying the identity P(x,y)P(z,t)=P(xz−yt,xt+yz).P(x,y)P(z,t)=P(xz-yt,xt+yz).

    Dataset text AI-MO AoPS. Quoted with source.

    Official text: International Mathematics Competition for University Students 2023 official paper, page 1.

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