2
lesson pretestMultiple Choice

Pretest

Question 2 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY

The polynomial x cubed plus 8 is equal to

Answer
A
open paren x plus 2 close paren times open paren x squared minus 2 x plus 8 close paren .
B
open paren x minus 2 close paren times open paren x squared plus 2 x plus 8 close paren .
C
open paren x minus 2 close paren times open paren x squared plus 2 x plus 4 close paren.
D
open paren x plus 2 close paren times open paren x squared minus 2 x plus 4 close paren .

Explanation

Use the sum-of-cubes rule: a³ + b³ = (a + b)(a² − ab + b²). Here, x³ + 8 = x³ + 2³, so it factors as (x + 2)(x² − 2x + 4). This matches choice C.

AI-written and checked against the verified answer.

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