Well, this isn't any function

Algebra Level 5

A real-valued quintic monic polynomial f(x)f(x) satisfies the following conditions.

f(1)=12,f(2)=40,f(3)=90,f(4)=168,f(5)=280f(1) = 12 , f(2) = 40 , f(3) = 90 , f(4) = 168 , f(5) = 280

Find the value of f(6)f(6).

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