# Well, this isn't any function

Algebra Level 5

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

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

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

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