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

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Answer 1 · 2018-04-24T23:48:22

$40$ $40$

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

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

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

$a = 2$ $a=2$

$b = 8$ $b=8$

$c = 3$ $c=3$

We plug the values into our discriminant expression to get

$8^{2} - 4 (2) (3)$ $8^2-4(2)(3)$

$\Rightarrow 64 - 24 = 40$ $=>64-24=color(blue)(40)$

Hope this helps!

What is the value of the discriminant f(x)= 2x^2 + 8x +3f(x)=2x2+8x+3f(x)= 2x^2 + 8x +3?