Poly functional

Algebra Level 4

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

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

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