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: 15

Answer

The remaining zeros are: $\color{blue}{\bf2-i, -3+i}$

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 zeros of the given function are the conjugates of $2+i$ and $-3-i$, which are: $\color{blue}{\bf2-i, -3+i}$
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