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 - Concept and Vocabulary Check - Page 376: 6

Answer

$-6$, $(x+6)(2x^2-x-1)=0$

Work Step by Step

Based on the result of synthetic division with a zero remainder, the polynomial is divisible by $x+6$ and thus $-6$ is a root. The result also gives the quotient $2x^2-x-1$ which means that the equation can be factored as $(x+6)(2x^2-x-1)=0$
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