# An algebra problem by Wildan Bagus W. Hafidz

Algebra Level 3

Let $$f(x)$$ be a fourth-degree polynomial. If $$f(1) = f(2) = f(3) = 0$$, $$f(4) = 6$$, and $$f(5) = 72$$, what is the last digit of $$f(2010)$$?

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