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all polynomials depending on m

Source: Azerbaijan NMO 2023. Senior P3

August 24, 2023
algebraAZE SENIOR NATIONAL MOpolynomial

Problem Statement

Let mm be a positive integer. Find polynomials P(x)P(x) with real coefficients such that (xāˆ’m)P(x+2023)=xP(x)(x-m)P(x+2023) = xP(x) is satisfied for all real numbers x.x.
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