13
QuizMultiple Choice

Factoring Polynomials Completely — Unit test

Question 13 • Adv. Algebra II S1 Original

What is the completely factored form of 12xy – 9x – 8y + 6?

Answer
A
(3x – 2)(4y – 3)
B
3x(4y – 3) – 2(4y + 3)
C
–6x(4y – 3)(4y – 3)
D
(3x – 2)(4y – 3)(4y – 3)

Explanation

Group the terms: (12xy − 9x) + (−8y + 6). Factoring each group gives 3x(4y − 3) − 2(4y − 3), so the common factor is (4y − 3). Factoring it out gives (3x − 2)(4y − 3), which is choice A.

AI-written and checked against the verified answer.

Previous
Next