7
QuizMultiple Choice

Factoring Polynomials Completely

Question 7 • Common Core Algebra I B-IC

Which product of prime polynomials is equivalent to 36x3 – 15x2 – 6x?

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

Explanation

Factor out the greatest common factor, 3x: 36x³ − 15x² − 6x = 3x(12x² − 5x − 2). The quadratic factors as (3x − 2)(4x + 1), since their product is 12x² − 5x − 2. Therefore, the product of prime polynomials is 3x(3x − 2)(4x + 1), choice B.

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