Find the Sum and Product of the Roots of the Quadratic Equation x^2+12x+20=0

$x^{2} + 12 x + 20 = 0$

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.

$a = 1$ , $b = 12$ , $c = 20$

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

Divide $- 12$ by $1$ .

$- 12$

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

Divide $20$ by $1$ .

$20$

List the results.

Sum of the roots is $- 12$

Product of the roots is $20$