10
AssignmentMultiple Choice

Operations with Complex Numbers

Question 10 • Algebra III A

Multiply and simplify the product.(3 – 5i)(–2 + 4i) Select the product.

Answer
A
14+ 2i
B
14 + 22i
C
15 + 22i
D
26+2i

Explanation

Distribute each term: (3 – 5i)(–2 + 4i) = –6 + 12i + 10i – 20i². Since i² = –1, the last term is +20, giving a real part of –6 + 20 = 14 and an imaginary part of 12i + 10i = 22i. The product is 14 + 22i, choice B.

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