Find the Discriminant f(x)=3x^2+24x+48

$f (x) = 3 x^{2} + 24 x + 48$

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 $c$ .

$24^{2} - 4 (3 \cdot 48)$

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

Raise $24$ to the power of $2$ .

$576 - 4 (3 \cdot 48)$

Multiply $- 4 (3 \cdot 48)$ .

Multiply $3$ by $48$ .

$576 - 4 \cdot 144$

Multiply $- 4$ by $144$ .

$576 - 576$

Subtract $576$ from $576$ .

$0$