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: 86


Makes sense

Work Step by Step

Let $f\left( x \right)={{x}^{4}}+3{{x}^{2}}+2$ be a polynomial of degree $4$. The zeros of the polynomial are, $\begin{align} & {{x}^{4}}+3{{x}^{2}}+2=0 \\ & {{x}^{4}}+2{{x}^{2}}+{{x}^{2}}+2=0 \\ & \left( {{x}^{2}}+1 \right)\left( {{x}^{2}}+2 \right)=0 \\ & x=\pm i,\pm \sqrt{2}i \end{align}$ All these roots are not actual rational zeros. Thus, the given statement makes sense.
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