How do I Change y=x^2-2x-8 into factored form and then use the zero product property to find the x intercepts?

Question

Plz help!!!!!!!

How do I Change y=x^2-2x-8 into factored form and then use the zero product property to find the x intercepts?

Answer 1

The equation is y = x ^2 - 2x - 8

y  = x ^2 - 4x + 2x - 8

y  = x (x - 4) + 2(x - 4)

Take out common factors.

Factored form is y  = (x - 4)(x + 2)

To find x  intercepts substitute y  = 0 in y  = (x - 4)(x + 2)

0 = (x - 4)(x + 2)

Apply zero product property .

x - 4 = 0 and x + 2 = 0

x  = 4 and x = -2

x  intercepts are 4 and -2.