Question

Factor the following polynomial completely. 2x2 – 10x – 28

Answer 1

Answer:

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)