Question

1. use the zero - product property to solve the following equation. write your solutions as a set in roster form

$x^{2}+10x + 16 = 0$
the solution set is
(use a comma to separate answers as needed)

Explanation:

Step1: Factor the quadratic equation

We find two numbers that multiply to $16$ and add to $10$, which are $2$ and $8$.
$x^2 + 10x + 16 = (x+2)(x+8) = 0$

Step2: Apply zero-product property

Set each factor equal to 0.
$x+2=0$ or $x+8=0$

Step3: Solve for $x$

Isolate $x$ in each equation.
$x = -2$ or $x = -8$

Answer:

$\{-8, -2\}$