Y=-x^2-x-3 find the X intercept for The parabola define by this equation

To find the X intercept make y = 0. Then factor out a negative on the side with the equation for each of the terms, so it becomes

0 = - (x^2+x+3)

0 = (x^2+X+3)

0-3 = (x^2+X)

-3=x (X+1)

-3=X, X intercept - 3,0

-3 = (X+1)

-4=X, X intercept - 4,0.

These are possible X intercepts you can check by using quadratic formula as well.