Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 5 Polynomials and Polynomial Functions - 5.7 Apply the Fundamental Theorem of Algebra - 5.7 Exercises - Skill Practice - Page 385: 55


Negative real zeros= 1 Imaginary zeros = 4

Work Step by Step

In the given polynomial of degree $5$, there are $5$ zeros. By Descartes' Rule, we can notice form the graph that the function has one x-intercept, and the graph crosses the x-axis in both cases. This means that we have $1$ real zero which lies on the left side of the origin, so the zero is negative. Hence, Negative real zeros= 1 Imaginary zeros = 4
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