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unique polynomial with pos. integer coeeficients (1) = 6, f(2) = 2016

Source: Flanders Math Olympiad 2016 p4

December 24, 2022
algebrapolynomialInteger Polynomial

Problem Statement

Prove that there exists a unique polynomial function f with positive integer coefficients such that f(1)=6f(1) = 6 and f(2)=2016f(2) = 2016.