Which of the binomials below is a factor of this trinomial?

x^2 + 2x - 48

(x + 8) (x - 6)

to factorise consider the factors of - 48 which sum to + 2

These are + 8 and - 6 thus

x² + 2x - 48 = (x + 8) (x - 6)

Factors are (x-8) (x+6).

Step-by-step explanation:

Given : x²-2x - 48.

To find : Factors.

Solution : We have given x² - 2x - 48.

Factories

x² + 6x - 8x - 48

Taking x common from first two term and - 8 from last two terms

x (x + 6) - 8 (x + 6)

On grouping

(x - 8) (x+6)

Therefore, Factors are (x - 8) (x + 6).