College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 6 - Matrices and Determinants - Cumulative Review Exercises (Chapters 1-6) - Page 658: 11

Answer

$4(x+2)(x+0.5)(x-0.5)(x-3)$

Work Step by Step

We are given the polynomial: $p(x)=4x^4-4x^3-25x^2+x+6$ From the graph, we find the roots: $x_1=-2$ $x_2=-0.5$ $x_3=0.5$ $x_4=3$ Factor the polynomial: $4x^4-4x^3-25x^2+x+6=4(x+2)(x+0.5)(x-0.5)(x-3)$
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