Question

Select all expressions that are equivalent to x2 - 4x – 32.

0 (x – 16)(x + 2)
(x + 2)(x – 16)
(2 – )(x + 4)
(x + 8)(x – 4)
(x + 4)(x – 8)
(x – 4)(x+8)

Answer 1

(x + 4)(x – 8)

Explanation:

1. (x – 16)(x + 2)

x² - 2x - 16x - 32

x² - 18x - 32

2. (x + 2)(x – 16)

x² - 16x + 2x - 32

x² - 14x - 32

3. (2 – )(x + 4)

2x + 8

4. (x + 8)(x – 4)

x² - 4x + 8x - 32

x² + 4x - 32

5. (x + 4)(x – 8)

x² - 8x + 4x - 32

x² - 4x - 32

6. (x – 4)(x+8)

x² + 8x - 4x - 32

x² + 4x - 32