Find the Discriminant 3x^2+6x+2=0

$3 x^{2} + 6 x + 2 = 0$

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 $c$ .

$6^{2} - 4 (3 \cdot 2)$

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

Raise $6$ to the power of $2$ .

$36 - 4 (3 \cdot 2)$

Multiply $- 4 (3 \cdot 2)$ .

Multiply $3$ by $2$ .

$36 - 4 \cdot 6$

Multiply $- 4$ by $6$ .

$36 - 24$

Subtract $24$ from $36$ .

$12$