Consider the quadratic x^2+8x+15

(x + 3) (x + 5)

Step-by-step explanation:

Assuming you require the expression factored.

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 + 3 and + 5, since

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

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