Use the discriminant to describe the number of x -intercepts of f(x)=2x^2−5x−4.

Answer 1

The discriminant is b²-4ac

Plugging in values

(-5)²-4(2)(-4) = 57

Since this is a positive number, there are 2 x intercepts. If it is 0, there is one x intercept. If it is negative, there are 0 x intercepts.