College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 5 - Section 5.6 - Complex Zeros; Fundamental Theorem of Algebra - 5.6 Assess Your Understanding - Page 394: 7


The remaining zero is: $\color{blue}{\bf4+i}.$

Work Step by Step

RECALL: If $a+bi$ is a zero of a polynomial function with a real number of coefficients, then its conjugate, $a-bi$, is also a zero of the function. Thus, the missing zero of the given function is the conjugate of $4-i$, which is $\color{blue}{\bf4+i}.$
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