Don't guess the function

Algebra Level 3

Consider a polynomial of $$x$$, $$f(x)$$ with whole numbers as coefficients.

The value of $$f(1)$$ and $$f(8)$$ are given as 7 and 66073 respectively.

Using these two values find $$f(x)$$. If a,b,c,...C are the nonzero coefficients and constant got, then enter the answer as abc...C, which is the concatenation of those natural numbers.

This question is required to be solved in a particular way, and to ensure that I have chosen such peculiar values.

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