Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 2 - Section 2.5 - Zeros of Polynomial Functions - Exercise Set - Page 379: 80

Answer

The graph is shown below:
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Work Step by Step

It is clear from the graph that the function $f\left( x \right)$ crosses the x-axis 3 times. This implies that the function must have 3 real roots. But since $f\left( x \right)$ is an equation of degree 5 it must have exactly 5 solutions; hence the number of imaginary roots must be 2.
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