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2022 AMC 12A Question 21

AMC12 · 2022 AMC 12A

Question 21

Let $P(x)=x^{2022}+x^{1011}+1.$ Which of the following polynomials divides $P(x)?$
  1. $x^2-x+1$
  2. $x^2+x+1$
  3. $x^4+1$
  4. $x^6-x^3+1$
  5. $x^6+x^3+1$