Question 43
Find all polynomials $P(x)$ with real coefficients such that
$$
(x - 2010)P(x + 67) = xP(x)
$$
for every integer $x$.
$$
(x - 2010)P(x + 67) = xP(x)
$$
for every integer $x$.
MathNet 2010 — Part 02 Question 43
Math Olympiad Vault · MathNet 2010 — Part 02