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2020 AMC 10A Problem 17

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2020 AMC 10A Problem 17AMC 10 Step by Step
Name:                             Date: October 28, 2026
Absolute Value & Inequalities · difficulty 3 of 5 · about 6 min · position P16-20

Define P(x)=(x−12)(x−22)⋯(x−1002).P(x) =(x-1^2)(x-2^2)\cdots(x-100^2). How many integers nn are there such that P(n)≤0P(n)\leq 0 ?

  1. A)49004900
  2. B)49504950
  3. C)50005000
  4. D)50505050
  5. E)51005100

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