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AMO 2022 – Junior College (Grade 11–12) Question 3

AMO · AMO 2022 – Junior College (Grade 11–12)

Question 3

What is the remainder when $9x^9+8x^8+7x^7+6x^6+5x^5+4x^4+3x^3+2x^2+1$ is divided by $x+1$?

Question illustration
  1. 15
  2. 25
  3. 45
  4. -3
  5. -15