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AMO 2024 Junior College (Grade 11–12) Question 4

AMO · AMO 2024 Junior College (Grade 11–12)

Question 4

Let P be a polynomial satisfying $P(x^3-1)=x^6+4x^3+5$. Find $P(x^3+1)$.

Question illustration
  1. $x^6+8x^3+17$
  2. $x^6+8x^3+13$
  3. $x^6+4x^3+17$
  4. $x^6+4x^3+13$