Find the Sum and Product of the Roots of the Quadratic Equation 2x^2-x-6=0

$2 x^{2} - x - 6 = 0$

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.

$a = 2$ , $b = - 1$ , $c = - 6$

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

Divide $- 6$ by $2$ .

$- 3$

List the results.

Sum of the roots is $\frac{1}{2}$

Product of the roots is $- 3$