Find the Sum and Product of the Roots of the Quadratic Equation 2x^2+8x-10=0

$2 x^{2} + 8 x - 10 = 0$

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.

$a = 2$ , $b = 8$ , $c = - 10$

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

Divide $- 8$ by $2$ .

$- 4$

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

Divide $- 10$ by $2$ .

$- 5$

List the results.

Sum of the roots is $- 4$

Product of the roots is $- 5$