College Algebra (10th Edition)

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

Chapter 5 - Section 5.1 - Polynomial Functions and Models - 5.1 Assess Your Understanding - Page 339: 50

Answer

$f(x)=(x+2)(x-4)^2=x^3-12x-16.$

Work Step by Step

We are given that the degree is 3, and the zeros are -2 (multiplicity 2) and 4 (multiplicity 2), hence a good function is: $f(x)=(x+2)(x-4)^2=x^3-12x-16.$
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