Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 2 - Section 2.5 - Zeros of Polynomial Functions - Concept and Vocabulary Check - Page 376: 5


If $a+bi$ is a root of a polynomial equation with real coefficients, $b\ne 0$ then $a-bi$ is also a root of the equation.

Work Step by Step

According to the properties of roots of polynomial equations, if a polynomial equation with real coefficients has $a+bi$ as one of its roots, where $b\ne 0$, then $a-bi$ must also be a root of that equation. That is, if a polynomial equation has imaginary roots, they must exist in conjugate pairs.
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