Question 51
Determine all polynomials $P(x)$ with real coefficients such that
$$
(x + 1)P(x - 1) - (x - 1)P(x)
$$
is a constant polynomial.
$$
(x + 1)P(x - 1) - (x - 1)P(x)
$$
is a constant polynomial.
MathNet 2013 Question 51
Math Olympiad Vault · MathNet 2013