What is the factored form of 16x2 - 16x - 12?

4 (2x - 2) (2x + 2)

4 (4x - 6) (x + 2)

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

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

What is the factored form of 3x2 + 21x - 24?

3 (x + 8) (x - 1)

3 (x + 6) (x - 3)

3 (x + 5) (x - 3)

3 (x + 7) (x - 3)

Q1. The answer is 4 (2x - 3) (2x + 1)

16x² - 16x - 12 = 4 * 4x² - 4 * 4x - 4 * 3 =

= 4 (4x² - 4x - 3) =

= 4 (4x² + 2x - 6x - 3) =

= 4 (2x * 2x + 2x - (2x * 3 + 3)) =

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

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

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

Q2. The answer is 3 (x + 8) (x - 1)

3x² + 21x - 24 = 3 * x² + 3 * 7x - 3 * 8 =

= 3 (x² + 7x - 8) =

= 3 (x * x - x + 8x - 8) =

= 3 ((x (x - 1) + 8 (x - 1)) =

= 3 (x + 8) (x - 1)