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AssignmentMultiple Choice

Factoring Polynomials Completely

Question 2 • 26/27 ALGEBRA II A

What is the factored form of x3 + 64?

Answer
A
(x2 + 8)(x + 8)
B
(x + 4)(x2 – 4x + 16)
C
(x – 4)(x2 + 4x + 16)

Explanation

Recognize x³ + 64 as a sum of cubes: x³ + 4³. The sum-of-cubes formula is a³ + b³ = (a + b)(a² − ab + b²), so the expression factors as (x + 4)(x² − 4x + 16). This matches choice B.

AI-written and checked against the verified answer.

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