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 - Guided Practice for Examples 5 and 6 - Page 383: 11

Answer

$-2.18; -0.32; 1.11;$

Work Step by Step

We are given the function: $$f(x)=3x^5+2x^4-8x^3+4x^2-x-1.$$ We use a graphing calculator to graph the function and the $zero$/$root$ feature to find an approximation of the real zeros of the function. We find: $$\begin{align*} x_1&\approx -2.18\\ x_2&\approx -0.32\\ x_3&\approx 1.11. \end{align*}$$
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