# What is the value of the discriminant f(x)= 2x^2 + 8x +3?

Apr 24, 2018

$40$

#### Explanation:

The discriminant is the value under the radical in the Quadratic Formula, equal to

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

Our quadratic is in the form $a {x}^{2} + b x + c$, so we know

$a = 2$

$b = 8$

$c = 3$

We plug the values into our discriminant expression to get

${8}^{2} - 4 \left(2\right) \left(3\right)$

$\implies 64 - 24 = \textcolor{b l u e}{40}$

Hope this helps!