12
QuizMultiple Choice

Factoring Polynomials: Double Grouping

Question 12 • Common Core Algebra I B-IC

Factor 15x3 – 5x2 + 6x – 2 by grouping. What is the resulting expression?

Answer
A
(5x2 + 2)(3x – 1)
B
(5x2 – 2)(3x + 1)
C
(15x2 + 2)(x – 1)
D
(15x2 – 2)(x + 1)

Explanation

Group the terms: (15x³ − 5x²) + (6x − 2). Factor each group to get 5x²(3x − 1) + 2(3x − 1). Since both terms share (3x − 1), factor it out to get (5x² + 2)(3x − 1), choice A.

AI-written and checked against the verified answer.

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