8
QuizMultiple Choice

Factoring Polynomials: Double Grouping

Question 8 • Common Core Algebra I B-IC

Factor –8x3 – 2x2 – 12x – 3 by grouping. What is the resulting expression?

Answer
A
(2x2 – 3)(4x + 1)
B
(–2x2 – 3)(–4x + 1)
C
(2x2 – 3)(–4x + 1)
D
(–2x2 – 3)(4x + 1)

Explanation

Group the terms as (−8x³ − 2x²) + (−12x − 3). Factoring each group gives −2x²(4x + 1) − 3(4x + 1), so the common factor is (4x + 1). The resulting expression is (−2x² − 3)(4x + 1), choice D.

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