Answer
See below
Work Step by Step
We are asked to find a polynomial function with zeros at $(-4,4,1)$ and a leading coefficient of one.
$$(x-x_1)(x-x_2)(x-x_3)\\=(x+4)(x-4)(x-1)\\=(x^2-16)(x-1)\\=x^3-x^2-16x+16$$
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 9 Quadratic Relations and Conic Sections - 9.7 Solve Quadratic Systems - 9.7 Exercises - Mixed Review - Page 664: 54
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