8
AssignmentMultiple Choice

Operations with Complex Numbers

Question 8 • Fall 24 GMS Advanced Algebra: Concepts and Connections A

Multiply (2 – 7i)(–1 + 4i).

Answer
A
26 + 15i
B
–2 – 28i
C
26 + i
D
–30 + 15i

Explanation

Distribute each term: (2)(−1) + (2)(4i) + (−7i)(−1) + (−7i)(4i) = −2 + 8i + 7i − 28i². Since i² = −1, the last term is +28, giving 26 + 15i. The correct choice is A, 26 + 15i.

AI-written and checked against the verified answer.

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