Inspired by Mehul Arora

Algebra Level 4

The function f(x)f(x) is a monic quartic polynomial satisfying f(1)=1f(1)=1, f(2)=4f(2)=4, f(3)=9f(3)=9, f(4)=16f(4)=16. What is f(5)f(5)?

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