MathDB
Algebra(Polynomial)

Source: Problems From Previous Olympiad

October 6, 2014
algebrapolynomialalgebra unsolved

Problem Statement

Determine all polynomials P(x)P(x) with real coefficients such that (x+1)P(x1)(x1)P(x)(x+1)P(x-1)-(x-1)P(x) is a constant polynomial.