## College Algebra (11th Edition)

Published by Pearson

# Chapter R - Section R.4 - Factoring Polynomials - R.4 Exercises: 72

#### Answer

C. (x + 2)($x^{2}$ - 2x + 4)

#### Work Step by Step

$x^{3}$ + 8 is a sum of cubes, for which $x^{3}$ + $y^{3}$ = (x + y)($x^{2}$ - xy + $y^{2}$), so this expression factors to $x^{3}$ + $2^{3}$ = (x + 2)($x^{2}$ - 2x + 4). We can also use FOIL to check.

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.