Question 2Consider the polynomial $P(x)=x(x-1)\cdots(x-2024)$. Show that $P^{(n)}(x)=2025$ has at least $2024^n$ distinct real roots, where $n$ is any positive integer and $P^{(n)}(x)=P(P(\cdots P(x)\cdots))$ with $P$ iterated $n$ times.