Question

$x^{2}+6x-16$

Explanation:

Step1: Identify factors of -16

Find two numbers that multiply to $-16$ and add to $6$: $8$ and $-2$ (since $8 \times (-2) = -16$, $8 + (-2) = 6$)

Step2: Rewrite as factored form

Substitute the numbers into binomial factors: $(x+8)(x-2)$

Answer:

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