Find the Discriminant 4x^2+16x+16

$4 x^{2} + 16 x + 16$

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 $c$ .

$16^{2} - 4 (4 \cdot 16)$

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

Raise $16$ to the power of $2$ .

$256 - 4 (4 \cdot 16)$

Multiply $- 4 (4 \cdot 16)$ .

Multiply $4$ by $16$ .

$256 - 4 \cdot 64$

Multiply $- 4$ by $64$ .

$256 - 256$

Subtract $256$ from $256$ .

$0$