2025 AMC 12A Problems/Problem 17: Difference between revisions

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The polynomial $(z+i)(z+2i)(z+3i) + 10$ has three roots in the complex plane. What is the area of the triangle formed by these roots?

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	~~The polynomial ''(z+i)(z+2i)(z+3i) + 10'' has three roots in the complex plane. What is the area of the triangle formed by these roots?~~

	The polynomial <imath>(z+i)(z+2i)(z+3i) + 10</imath> has three roots in the complex plane. What is the area of the triangle formed by these roots?		The polynomial <imath>(z+i)(z+2i)(z+3i) + 10</imath> has three roots in the complex plane. What is the area of the triangle formed by these roots?