9
QuizMultiple Choice

Multiplying Polynomials and Simplifying Expressions

Question 9 • FL-1200700-Mathematics for College Algebra MIS

The polynomial x3 + 8 is equal to

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 that 8 is 2³, so x³ + 8 = x³ + 2³. The sum-of-cubes rule is a³ + b³ = (a + b)(a² − ab + b²); using a = x and b = 2 gives (x + 2)(x² − 2x + 4). Therefore, choice A is correct.

AI-written and checked against the verified answer.

Previous
Next