3
AssignmentMultiple Choice

Factoring Polynomials Completely

Question 3 • 26/27 ALGEBRA II A

What is the factored form of x6 – 9?

Answer
A
(x + 3)(x – 3)
B
(x5 + 3)(x – 3)
C
(x3 + 3)(x2 – 3)
D
(x3 + 3)(x3 – 3)

Explanation

Recognize x⁶ − 9 as a difference of squares: (x³)² − 3². Apply a² − b² = (a + b)(a − b), giving (x³ + 3)(x³ − 3). This matches choice D.

AI-written and checked against the verified answer.

Previous
Next