11
AssignmentMultiple Choice

Factoring Polynomials Completely

Question 11 • [INMT3] Integrated Math 3 Sem 1 (26-27)

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: x⁶ = (x³)² and 9 = 3². Using a² − b² = (a + b)(a − b), the expression factors as (x³ + 3)(x³ − 3), which is choice D.

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