Use the discriminant to describe the number of x-intercepts of f(x)=−2x^2−2x−3

Answer 1

The discriminate is b^2 - 4ac. = -2 - 4(-2)((-3)= -2 -24=-26<0 If less than zero there's 2 imaginary roots.

so it has zero x intercepts. The graph never crosses the x axis