4
QuizMultiple Choice

Factoring Polynomials: Sum and Difference of Cubes

Question 4 • Common Core Algebra I B-IC

Which is the factorization of x3 + 8?

Answer
A
(x + 2)(x2 – 2x + 4)
B
(x – 2)(x2 + 2x + 4)
C
(x + 2)(x2 – 2x + 8)
D
(x – 2)(x2 + 2x + 8)

Explanation

Recognize x³ + 8 as a sum of cubes: x³ + 2³. Use the identity a³ + b³ = (a + b)(a² − ab + b²), giving (x + 2)(x² − 2x + 4). Therefore, the correct choice is A, (x + 2)(x² − 2x + 4).

AI-written and checked against the verified answer.

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