Question

factor.
$v^2 - 8v - 9$

Explanation:

Step1: Find two factors of -9

We need two numbers that multiply to $-9$ and add to $-8$. These numbers are $-9$ and $1$, since $(-9) \times 1 = -9$ and $(-9) + 1 = -8$.

Step2: Rewrite the quadratic as factored form

Use the two numbers to factor the quadratic expression into two binomials.
$v^2 - 8v - 9 = (v - 9)(v + 1)$

Answer:

$(v - 9)(v + 1)$