Question

f (x) = 4x^2+2x+6find the value of the discriminate of f and how many distinct real number zeros f has.

Answer 1

The Solution:

Given:

Required:

To find the discriminant of f.

By formula, the discriminant (D) is:

`D=b^2-4ac`

Where:

`\begin{gathered} a=4 \\ b=2 \\ c=6 \end{gathered}`

Substitute:

`\begin{gathered} D=2^2-4(4)(6)=4-96=-92 \\ No\text{ real root since D}<0 \end{gathered}`

Therefore, the correct answers are:

Discriminant = -92

No distinct real root.