# How do you write a quadratic equation in standard form with the given roots 8, -2?

${x}^{2} - 6 x - 16 = 0$
$\left(x - 8\right)$ and $\left(x + 2\right)$ are the factors of that quadratic equation. Multiply these two factors to the get the required quadratic equation.
$\left(x - 8\right) \left(x + 2\right) = 0$
${x}^{2} - 6 x - 16 = 0$