Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 8 - Quiz (Sections 8.1-8.4) - Page 385: 2c



Work Step by Step

We multiply the two complex numbers using the FOIL method: Step 1: $wz$ Step 2: $(3+5i)(-4+i)$ Step 3: $3(-4+i)+5i(-4+i)$ Step 4: $-12+3i-20i+5i^{2}$ Step 5: $-12-17i+5i^{2}$ Since $i^{2}=-1$, we substitute the value of $i^{2}$ in the expression and simplify: Step 6: $-12-17i+5(-1)$ Step 7: $-12-17i-5$ Step 8: $-17-17i$ The answer is in rectangular form.
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