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

Solution:

The given polynomial is -8x³ - 2x² - 12x - 3

Now let us group the first two and last two terms

= (-8x³ - 2x²) - (12x - 3)

From each binomial, let us take out the GCF

= -2x²(4x + 1) - 3(4x + 1)

Now the resulting expression is

= (4x + 1)(-2x² - 3)

= -(4x + 1)(2x² + 3)

Therefore, the resulting expression = -(4x + 1)(2x² + 3).

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

Summary:

Factor -8x³ - 2x² - 12x - 3 by grouping. The resulting expression is -(4x + 1)(2x² + 3)