Question 22
Find all polynomials $P(x)$ such that the equality
$$
(x - 1)P(x + 1) - (x + 1)P(x - 1) = 4P(x)
$$
holds for all real $x$.
$$
(x - 1)P(x + 1) - (x + 1)P(x - 1) = 4P(x)
$$
holds for all real $x$.
MathNet 2013 Question 22
Math Olympiad Vault · MathNet 2013