Question 166
We fix a natural number $k \geq 1$. Find all polynomials $P(x)$ satisfying
$$
P\left(x^{k}\right)-P(k x)=x^{k} P(x) .
$$
$$
P\left(x^{k}\right)-P(k x)=x^{k} P(x) .
$$
MathNet 2019-part-06 — 184 problems (EN–VI) Question 166
Math Olympiad Vault · MathNet 2019-part-06 — 184 problems (EN–VI)