Question 179
Find all polynomials $p$ of odd degree with real coefficients such that
$$
p(p(x)) \leq (p(x))^{3}
$$
for all $x \in \mathbb{R}$, and whose coefficient at $x^{2}$ is equal to $0$.
$$
p(p(x)) \leq (p(x))^{3}
$$
for all $x \in \mathbb{R}$, and whose coefficient at $x^{2}$ is equal to $0$.