## College Algebra (10th Edition)

Published by Pearson

# Chapter 5 - Section 5.6 - Complex Zeros; Fundamental Theorem of Algebra - 5.6 Assess Your Understanding: 9

#### Answer

The remaining zeros are: $\color{blue}{\bf-i, 1-i}$

#### 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 $i$ and $1+i$, which are: $\color{blue}{\bf-i \text{ and } 1-i}.$

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