# Functions

Level pending

$$f(x) = Ax^2 - Bx + C$$ for some positive integer values of $$A$$, $$B$$ and $$C$$.

If $$f(1) = - 1, f(2) = 0$$ and $$f(3) = 7$$; and $$f(25)$$ equals $$a$$ and $$f(b)$$ equals $$1913604$$, what is the value of $$a - b$$?

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