Find the Sum and Product of the Roots of the Quadratic Equation x^2-2x-8=0

$x^{2} - 2 x - 8 = 0$

Find $a$ , $b$ , and $c$ .

Once the quadratic is in standard form, the values of $a$ , $b$ , and $c$ can be found.

$a x^{2} + b x + c$

Use the standard form of the equation to find $a$ , $b$ , and $c$ for this quadratic.

$a = 1$ , $b = - 2$ , $c = - 8$

Substitute the values into the sum of roots formula $- \frac{b}{a}$ .

Divide $2$ by $1$ .

$2$

Substitute the values into the product of roots formula $\frac{c}{a}$ .

Divide $- 8$ by $1$ .

$- 8$

List the results.

Sum of the roots is $2$

Product of the roots is $- 8$