AMC 10A 2020 Problem 17

Define

P(x)=\left(x-1^{2}\right)\left(x-2^{2}\right) \cdots\left(x-100^{2}\right)

How many integers n are there such that P(n) \leq 0 ?

Answer Choices
A. 4900
B. 4950
C. 5000
D. 5050
E. 5100