Factor the following trinomial

x^{2} + 4x – 32 = (x + )(x + )

We are looking for two factors of -32 that add up to 4. Since -4 and 8 are factors of -32 and add up to 4, they are the solutions. So we have x^{2} + 4x – 32 = (x – 4)(x + 8).