Factor the following polynomial completely.

2x2 - 10x - 28

2 (x - 7) (x + 2)

Step-by-step explanation:

Given

2x² - 10x - 28 ← factor out 2 from each term

= 2 (x² - 5x - 14) ← factor the quadratic

Consider the factors of the constant term ( - 14) which sum to give the coefficient of the x - term ( - 5)

The factors are - 7 and + 2, since

- 7 * 2 = - 14 and - 7 + 2 = - 5, thus

x² - 5x - 14 = (x - 7) (x + 2) and

2x² - 10x - 28 = 2 (x - 7) (x + 2)