RMO Practice Problems - Algebra 1
Algebra
Level
5
Let \(P(x)\) be a polynomial of degree 2015 which satisfies \(P(k) = 2^{k}\) for all \(k=0,1,2,3, \ldots, 2015\). If the value of \(P(2016)\) can be expressed as
\[a^{b} - c,\]
where \(a\) and \(c\) are coprime integers and \(a\) is a prime, find the value of \(a+b+c\).
Try this set RMO Practice Problems.
by
Surya Prakash