# Know the functioning of the function?

Algebra Level 4

Let $$f(x)$$ be a polynomial. It is known that for all $$x$$,

$\large f(x)f(2x^2) = f(2x^3+x)$

If $$f(0)=1$$ and $$f(2)+f(3)=125$$, find $$f(5)$$.

×