How to factor x^2-2x-15

(x - 5) (x + 3)

Step-by-step explanation:

Given

x² - 2x - 15

Consider the factors of the constant term ( - 15) which sum to give the coefficient of the x - term ( - 2)

The factors are - 5 and + 3, since

- 5 * 3 = - 15 and - 5 + 3 = - 2, thus

(x - 5) (x + 3) ← in factored form