Question 130
Suppose $f(x)$ is a quadratic trinomial. If there exists another quadratic trinomial $g(x)$ such that $g(f(x)) = f(x) \cdot g(x)$ for all real $x$, we label $f(x)$ as *good* trinomial. How many positive integers are roots of a good trinomial and are less than or equal to 2025?
(Batzorig Undrakh)
(Batzorig Undrakh)