13
AssignmentMultiple Choice

Performing Operations with Complex Numbers

Question 13 • 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

Multiply each term: (3 − 5i)(−2 + 4i) = −6 + 12i + 10i − 20i². Since i² = −1, −20i² = 20, so the real terms give −6 + 20 = 14 and the imaginary terms give 12i + 10i = 22i. The product is 14 + 22i, choice B.

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