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Find the polynomial p(x), with real coefficients, such that p(2) = 5 and p(x) p(y) = p(x) + p(y) + p(xy) - 2 for all real numbers x and y.

 Nov 21, 2019
 #1
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The polynomial is p(x) = x^3 - 3.

 Feb 24, 2026

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