Question

Please help

Find the x-intercepts for the parabola defined by the equation below.


y = 2x2 + 2x - 4

A.

(-4, 0) and (2, 0)

B.

(-2, 0) and (1, 0)

C.

(0, -2) and (0, 1)

D.

(0, -4) and (0, 2)

Answer 1

B. (-2, 0) and (1, 0)

Explanation:

The equation can be factored as ...

y = 2(x^2 +x -2) = 2(x +2)(x -1)

The x-intercepts are the values of x where y=0, so will be the values of x that make one or the other of the binomial factors zero:

x = -2

x = 1

Then the intercept points are (-2, 0) and (1, 0). . . . . . . . . matches choice B