College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 3 - Section 3.3 - Zeros of Polynomial Functions - 3.3 Exercises - Page 315: 4

Answer

True

Work Step by Step

The given polynomial function has only real coefficients, so the Conjugate Zeros theorem applies. (If $z$ is a zero of a a polynomial function f that has only real coefficients, then its conjugate $\overline{z}$ is also a zero of f) The conjugate of $2+3i$, which is $2-3i,$ is also a zero. Thus, the given statement is true.
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