Answer
See below
Work Step by Step
We find a polynomial meeting the given criteria:
$$(x-x_1)(x-x_2)(x-x_3)\\=(x+2)(x-(-4))(x-\sqrt 10)(x+\sqrt 10)\\=(x^2+2x)(x-4)(x^2-10)\\=(x^3-4x^2+2x^2-8x)(x^2-10)\\=x^5-2x^4-18x^3+20x^2+80x$$
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: 59
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