Poly functional

Algebra Level 4

\[ \begin{cases} {f(1) = 1} \\ {f(2) = 8 } \\ {f(3) = 27} \\ { f(4) = 64} \\ {f(5) =127} \end{cases} \]

If \(f(x)\) is polynomial having degree 4 that satisfy the system of equations above, what is the value of \(f(6)\)?

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