Polynomial

Algebra Level 3

Consider a monic polynomial f(x)f(x) of degree 4.

If f(1)=1,f(2)=2,f(3)=3,f(1) = 1, f(2) = 2, f(3) = 3, and f(4)=4f(4) = 4, then what is the value of f(6)f(6)?

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