What are the x intercepts of the following equaition? y=x^2+5x+4

x=-4 x=-1

Step-by-step explanation:

y=x^2+5x+4

To find the x intercepts, set the equation equal to zero

0 = x^2+5x+4

Factor the equation

What 2 numbers multiply to 4 and add to 5

4*1 = 4

4+1 = 5

0 = (x+4) (x+1)

Using the zero product property

x+4 = 0 x+1=0

x=-4 x=-1

These are the x intercepts