F (x) = 3x^2+12x+5

What is the value of the discriminant of f?

How many distinct real numbers zeros does f (x) have?

Two

Step-by-step explanation:

The discriminant of a quadratic ax² + bx + c is b² - 4ac.

If the discriminant is negative, there are no real zeros.

If the discriminant is 0, there is one real zero.

If the discriminant is positive, there are two real zeros.

Here, a = 3, b = 12, and c = 5. The discriminant is:

(12) ² - 4 (3) (5)

144 - 60

84

The discriminant is positive, so there are two real zeros.