# Only two co-efficient

Algebra Level 4

Let $$f(x)$$ be a degree 6 monic polynomial having integer coefficients and positive zeroes, such that $$a_5=-12$$ and $$a_0=64$$, where $$a_i$$ denotes the coefficient of $$x^{i}$$.

Find $$f(1)+f(2)+f(3)$$.

×