Mysterious polynomialNumber Theory Level 4
A polynomial \(f(x)\) with positive integer coefficients satisfies \(f(1)= 12\) and \(f(12)=2080\). Find the last three digits of \(f(10)\).
Details and assumptions
We are talking about all the numbers in their decimal representations.
You aren't given any information about the degree of the polynomial, except that it is positive.