# mathematics

posted by
**Sambaran G.**
.

Suppose f(x) is a degree 8 polynomial such that f(2^i)=1/2^i for all integers 0≤i≤8. If f(0)=a/b, where a and b are coprime positive integers, what is the value of a+b?

posted by
**Sambaran G.**
.

Suppose f(x) is a degree 8 polynomial such that f(2^i)=1/2^i for all integers 0≤i≤8. If f(0)=a/b, where a and b are coprime positive integers, what is the value of a+b?