What are the x-intercepts of the graph of the equation above?

Option C

Step-by-step explanation:

The graph is of the quadratic equation is a parabola.

The parabola intercepts the x-axis when .

Then, you need to substitute into the equation:

Factor the quadratic equation: find two number that when you add them you get 2 that when you multiply them you get -8. In this case these numbers are -2 and 4. Then:

Therefore, the x-intercepts are:

 (-4,0) and (2,0)

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2