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

(2x2 - 3) (4x + 1)

(-2x2 - 3) (-4x + 1)

(2x2 - 3) (-4x + 1)

(-2x2 - 3) (4x + 1)

The answer to your question is the last option (-2x² - 3) (4x + 1)

Step-by-step explanation:

Expression - 8x³ - 2x² - 12x - 3

Order the terms - 8x³ - 12x - 2x² - 3

Process

1. - Factor the first two terms and the last two terms

(-8x³ - 12x²) + (-2x - 3)

Common factor of the first group - 4x

Common factor of the second group - 1

2. - Factor each group

First group - 4x (2x² + 3)

Second group - 1 (2x² + 3)

3. - Factor again by common factor

-4x (2x² + 3) - 1 (2x² + 3)

(2x² + 3) (-4x - 1) or - (2x² + 3) (4x + 1) or (-2x² - 3) (4x + 1)