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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