Question

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?

Answer 1

Answer:

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.

Answer 2

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

Discriminant:

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

Using formula:

$\to D=b^2-4ac$

Compare the value with the standard formula:

$ax^2+bx+c=0$

$\to a=3 \\\\\to b=12\\\\\to c= 5$

Adding the value to the given formula:

$\to D=12^2-4\times 3 \times 5$

        $=144-60\\\\=84$

So, the discriminant is positive, and there are two real zeros.

Learn more about the discriminant here:

brainly.com/question/15355087