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Find all polynomials f(x) such that f(x)f(2x^2)=f(2x^3 + x)

Source: IMO LongList 1979 - P10

September 15, 2010
algebrapolynomialVietafunctional equationIMO Longlist

Problem Statement

Find all polynomials f(x)f(x) with real coefficients for which f(x)f(2x2)=f(2x3+x).f(x)f(2x^2) = f(2x^3 + x).
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