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AssignmentMultiple Choice

Factoring Polynomials Completely

Question 2 • TX-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 64 as 4³, so the expression is x³ + 4³. The sum-of-cubes rule is a³ + b³ = (a + b)(a² − ab + b²); using a = x and b = 4 gives (x + 4)(x² − 4x + 16), which is choice B.

AI-written and checked against the verified answer.

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