The Octopus Polynomial

Algebra Level 4

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

×

Problem Loading...

Note Loading...

Set Loading...