College Algebra (6th Edition)

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

Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.5 - Page 74: 80


($x^{3}$ + 2$x^{2}$) - ($x$ + 2) = $x^{2}$($x$ + 2) - ($x$ + 2) = ($x^{2}$ - 1)($x$ + 2) = ($x$ + 1)($x$ - 1)($x$ + 2)

Work Step by Step

To factor this polynomial, start by finding the GCFs of the terms. After determining these, we will have two terms left, but the first term can be simplified by being factored once more. Using the formula A^2 - B^2 = (A + B)(A - B), factor the first term. This will make a total of three terms, giving us the final answer.
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