College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 9 - Section 9.2 - Arithmetic Sequences - 9.2 Assess Your Understanding - Page 656: 73



Work Step by Step

The factor theorem says that if f(c)=0, then (x-c) is a factor of f(x) and if (x-c) is a factor of f(x), then f(c)=0. Hence $f(-7)=(-7)^4+5(-7)^3-19(-7)^2-29(-7)+42=2401-1715-931+203+42=0$, hence it is a factor of f(x).
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