Find the Discriminant f(x)=-3x^2-2x-1

$f (x) = - 3 x^{2} - 2 x - 1$

Step 1

The discriminant of a quadratic is the expression inside the radical of the quadratic formula.

$b^{2} - 4 (a c)$

Step 2

Substitute in the values of $a$ , $b$ , and $c$ .

${(- 2)}^{2} - 4 (- 3 \cdot - 1)$

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

Raise $- 2$ to the power of $2$ .

$4 - 4 (- 3 \cdot - 1)$

Multiply $- 4 (- 3 \cdot - 1)$ .

Multiply $- 3$ by $- 1$ .

$4 - 4 \cdot 3$

Multiply $- 4$ by $3$ .

$4 - 12$

Subtract $12$ from $4$ .

$- 8$