Question

Find the x-intercepts for the parabola defined

by this equation:
y=2x^2+ 4x - 6
Write your answer as two ordered pairs:
(x1.yı), (x2, y2)

Answer 1

(-3,0) (1,0)

Explanation:

y=2x^2+ 4x - 6

Factor out the greatest common factor

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

Factor inside the parentheses

y = 2( x+3)(x-1)

Setting the equation equal to zero to find the x intercepts

0 = 2( x+3)(x-1)

Using the zero product property

x+3 = 0 x-1 =0

x = -3 x = 1

The x intercepts are

(-3,0) (1,0)