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non-negative integer P(x), with p (1) = 7,p (10) = 2014

Source: 2014 Swedish Mathematical Competition p1

May 1, 2021
algebrapolynomialInteger Polynomial

Problem Statement

Determine all polynomials p(x)p(x) with non-negative integer coefficients such that p(1)=7p (1) = 7 and p(10)=2014p (10) = 2014.
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