Question 168
Find all pairs of polynomials $P(x), Q(x)$ with integer coefficients such that
$$
P(Q(x)) = (x-1)(x-2) \ldots (x-9)
$$
for all real numbers $x$.
$$
P(Q(x)) = (x-1)(x-2) \ldots (x-9)
$$
for all real numbers $x$.
MathNet 2016-part-04 — 184 problems (EN–VI) Question 168
Math Olympiad Vault · MathNet 2016-part-04 — 184 problems (EN–VI)