9
QuizMultiple Choice

Factoring Polynomials: Double Grouping

Question 9 • Common Core Algebra I B-IC

Factor 6x4 – 5x2 + 12x2 – 10 by grouping. What is the resulting expression?

Answer
A
(6x + 5)(x2 – 2)
B
(6x – 5)(x2 + 2)
C
(6x2 + 5)(x2 – 2)
D
(6x2 – 5)(x2 + 2)

Explanation

Rearrange the terms into groups: (6x⁴ + 12x²) + (−5x² − 10). Factor each group to get 6x²(x² + 2) − 5(x² + 2). The common factor is (x² + 2), leaving (6x² − 5)(x² + 2), choice D.

AI-written and checked against the verified answer.

Previous
Next