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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