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 384: 50


See below.

Work Step by Step

Given: $f(x)=x^3-6x^2-16x+96$ There are two sign changes for $f(x)$; thus the function will have either $2$ or $0$ positive real zeros. Because one positive real zero is already given, the third zero has to be the other positive zero.
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