Question

x² + 6x - 16

Explanation:

Step1: Find two factors of -16

We need two numbers that multiply to $-16$ and add to $6$. These numbers are $8$ and $-2$, since $8 \times (-2) = -16$ and $8 + (-2) = 6$.

Step2: Rewrite the quadratic as factored form

Substitute the factors into the factored structure of a quadratic:
$x^2 + 6x - 16 = (x + 8)(x - 2)$

Answer:

$(x + 8)(x - 2)$