Question

F(x)=4x
2
+2x+6 How many distinct real number zeros does f have?

Answer 1

It has 0 distinct real number zeros. The function does not touch the x-axis

Answer 2

NO real zeros for this quadratic function.

Explanation:

We can answer this questions looking at the discriminant (
`b^2-4ac`) associated with this quadratic function:
`f(x) =4x^2+2x+6`

Discriminant is:
`b^2-4ac=(2)^2-4(4)(6)=4-96=-92`

Since we get a negative answer, this means that there are NO real solutions to this quadratic function (No real zeros). The zeros are complex numbers.