6
QuizMultiple Choice

Division of Polynomials

Question 6 • FL-1200330-Algebra 2 CR

What is the quotient of (x3 + 8) ÷ (x + 2)?

Answer
A
x2 + 2x + 4
B
x2 – 2x + 4
C
x2 + 4
D
x2 – 4

Explanation

Use the sum-of-cubes identity: a³ + b³ = (a + b)(a² − ab + b²). Here, x³ + 8 = x³ + 2³ = (x + 2)(x² − 2x + 4), so dividing by x + 2 gives x² − 2x + 4, choice B.

AI-written and checked against the verified answer.

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