College Algebra (10th Edition)

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

Chapter 1 - Section 1.4 - Radical Equations; Equations Quadratic in Form; Factorable Equations - 1.4 Assess Your Understanding: 84

Answer

$x=3$ or $x=1$ or $x=-1$

Work Step by Step

We solve by factoring with grouping: $x^{3}-3x^{2}-x+3=0$ $x^{2}(x-3)-1(x-3)=0$ $(x-3)(x^{2}-1)=0$ $(x-3)(x-1)(x+1)=0$ $x-3=0$ or $x-1=0$ or $x+1=0$ $x=3$ or $x=1$ or $x=-1$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.