IMO Shortlist 2012 problem A4


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3. studenoga 2013.
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Let f and g be two nonzero polynomials with integer coefficients and \deg f>\deg g. Suppose that for infinitely many primes p the polynomial pf+g has a rational root. Prove that f has a rational root.
Izvor: Međunarodna matematička olimpijada, shortlist 2012