Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 5 - Section 5.4 - Factoring Trinomials - Exercise Set - Page 361: 39



Work Step by Step

Substituting $x^{3}=t$, the trinomial becomes quadratic, $t^{3}-t-6=$ ... Searching for two factors of $-6$ whose sum is $-1,$ we find$\qquad-3$ and $+2$ $=(t-3)(t+2)$ ... bring back x = $(x^{3}-3)(x^{3}+2)$
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