Problem
ALG-B1-M12-P006 Variant 2, Problem 2
#6
★★☆☆☆ Level 2 of 5
\(P\) has degree at most \(2\), \(P(0)=1\), \(P(1)=4\), \(P(2)=9\). Find \(P(3)\).
Second differences are constant.
Differences \(3,5\), next \(7\). Answer \(16\).
Mock olympiad problem. Tags: finite-differences.