Answer:
The value of the discriminant is 84.
i.e. b²- 4ac = 84
As
b²- 4ac > 0
Therefore, there are two distinct real number zeros.
Step-by-step explanation:
We know that the discriminant of the quadratic equation ax²+bx+c=0 is equal to b²- 4ac.
We also know that:
- When b²- 4ac = 0 there is one real root.
- When b²- 4ac > 0 there are two real roots.
- When b²- 4ac < 0 there are two complex roots.
We are given
f(x) = 3x² + 12x + 5
comparing with the quadratic function ax²+bx+c=0
a = 3, b = 12, c = 5
Discriminant = b²- 4ac
= (12)²-4(3)(5) ∵ a = 3, b = 12, c = 5
= 144 - 60
= 84
Thus, the value of the discriminant is: 84
As
b²- 4ac > 0
Therefore, there are two distinct real number zeros.
