Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 4 - Quadratic Functions and Equations - Chapter Test - Page 273: 8

Answer

$31 + 14i$

Work Step by Step

We get rid of the parentheses by multiplying the terms within them according to the FOIL method, meaning we multiply the first terms first, then the outer, then the inner, and, finally, the last terms: $=(2)(8) + (2)(-5i) + (3i)(8) + (3i)(-5i)$ Multiply to simplify: $=16 - 10i + 24i - 15i^2$ Combine like terms: $=16 + 14i - 15i^2$ We know that the value of $i^2$ is $-1$, so we replace $i^2$ with $-1$: $=16 + 14i - 15(-1)\\ =16+14i+15$ Group like terms: $=(16 + 15) + 14i$ Combine like terms: $=31 + 14i$
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