Question 67
Find all polynomials $P(x)$ with real coefficients satisfying the equality
$$
(x^2 - 6x + 8)P(x) = (x^2 + 2x)P(x - 2),
$$
for all $x \in \mathbb{R}$.
$$
(x^2 - 6x + 8)P(x) = (x^2 + 2x)P(x - 2),
$$
for all $x \in \mathbb{R}$.
MathNet 2014 Question 67
Math Olympiad Vault · MathNet 2014