Question 8
Find all non-constant polynomials $P(x)$ with real coefficients that satisfy
$$
P(x^3 - 7x) = P(x - 7)P(x - 8)P(x - 3)
$$
for all $x \in \mathbb{R}$.
$$
P(x^3 - 7x) = P(x - 7)P(x - 8)P(x - 3)
$$
for all $x \in \mathbb{R}$.
MathNet 2024-part-05 — 168 problems (EN–VI) Question 8
Math Olympiad Vault · MathNet 2024-part-05 — 168 problems (EN–VI)