Let f: R → R be a polynomial function of degree four having extreme values at x=4 and x=5. If lim_x → 0 (f(x))/x^2=5, then f(2) is equal to:

Let $\displaystyle f: \mathbf{R} \rightarrow \mathbf{R}$ be a polynomial function of degree four having extreme values at $\displaystyle x=4$ and $\displaystyle x=5$. If $\displaystyle \lim _{x \rightarrow 0} \frac{f(x)}{x^2}=5$, then $\displaystyle f(2)$ is equal to :