How to factor x ² + 8x + 15?

(x + 5) (x + 3)

Step-by-step explanation:

Given

x² + 8x + 15

Consider the factors of the constant term ( + 15) which sum to give the coefficient of the x - term ( + 8)

The factors are + 5 and + 3, since

5 * 3 = 15 and 5 + 3 = 8, thus

x² + 8x + 15 = (x + 5) (x + 3) ← in factored form