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2025 AMC 12A Question 17

AMC12 · 2025 AMC 12A

Question 17

The polynomial $(z + i)(z + 2i)(z + 3i) + 10$ has three roots in the complex plane, where $i = \sqrt{-1}.$ What is the area of the triangle formed by these roots?
  1. $6$
  2. $8$
  3. $10$
  4. $12$
  5. $14$