# Cubes from the Fifth Degree?

Algebra Level 4

Let $$f(x)$$ be a 5th degree polynomial in $$x$$ with real coefficients & leading coefficient unity such that $$f(0)=-6$$, $$f(1)=1$$, $$f(2)=8$$ and $$f(3)=27$$. Then find the value of $$f(4)-f(-1)$$.

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