Question

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

Answer 1

Answer:

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

Answer 2

Answer:

NO real zeros for this quadratic function.

Step-by-step 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.