Question

f(x) = 4x^2+2x+6 what is the discriminant of f? How many distinct real number zeros does f have?

Answer 1

Answer:

The discriminant of f is 92, and it has no real zeros

Step-by-step explanation:

The discriminant of a quadratic is $b^2-4ac$, where the quadratic is in the form $ax^2+bx+c$. The discriminant of this one is therefore:

$2^2-4(4)(6)=4-96=-92$

Since the square root of a negative number is imaginary, this quadratic has no real number zeros. Hope this helps!