Question 38
Find all polynomials $p$ with real coefficients, such that
$$
p(p(x)) = (x^2 + x + 1)p(x)
$$
for all $x \in \mathbb{R}$.
$$
p(p(x)) = (x^2 + x + 1)p(x)
$$
for all $x \in \mathbb{R}$.
MathNet 2014 Question 38
Math Olympiad Vault · MathNet 2014