The problem is to factor the quadratic expression $x^2 + 2x - 15$.

1. Problem Description

The problem is to factor the quadratic expression $x^2 + 2x - 15$.

2. Solution Steps

We are looking for two numbers that multiply to -15 and add up to

2. The factors of 15 are 1, 3, 5, and

1

5. We can list out the pairs of factors that multiply to -15:

-1 and 15

-3 and 5

-5 and 3

-15 and 1

The pair that adds up to 2 is -3 and

5. $-3 + 5 = 2$

$(-3)(5) = -15$

Therefore, we can factor the quadratic as follows:

$x^2 + 2x - 15 = (x - 3)(x + 5)$

3. Final Answer

$(x-3)(x+5)$