olymmath

INMO 1999 Problem 3

    Show that there do not exist polynomials p(x)p(x) and q(x)q(x) each having integer coefficients and of degree greater than or equal to 1 such that p(x)q(x)=x5+2x+1.p(x)q(x) = x^5 +2x +1 .

    Dataset text AI-MO AoPS. Quoted with source.

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