olymmath

VMO 1994 Problem 6

    Do there exist polynomials p(x), q(x), r(x) whose coefficients are positive integers such that p(x) = (x2x^2 - 3x + 3) q(x) and q(x) = (x2x^2/20 - x/15 + 1/12) r(x)?

    Community text Kalva (prase.cz mirror). Quoted with source.

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