Question 97
Polynomial $P(x)$ with integer coefficients satisfies the following condition: for every polynomials $F(x)$, $G(x)$, $Q(x)$ with integer coefficients, if
$$
P(Q(x)) = F(x) \cdot G(x)
$$
then either $F(x)$ or $G(x)$ is a constant polynomial. Prove that $P(x)$ has to be a constant polynomial.
$$
P(Q(x)) = F(x) \cdot G(x)
$$
then either $F(x)$ or $G(x)$ is a constant polynomial. Prove that $P(x)$ has to be a constant polynomial.