What are the x-intercepts of the graph of the function below? y=x^2+2x-15

x=3 and x=-5

Step-by-step explanation:

To find the x intercepts set y = 0 and solve for x

0 = x^2+2x-15

Factor

What two numbers multiply to - 15 and add to 2

5*-3 = - 15

5+-3 = 2

0 = (x+5) (x-3)

Using the zero product property

x+5=0 x-3 = 0

x=-5 x=3

-5 and 3 will be because for - 5 it is (-5,0) and 3 is (3,0)