Choose the factored form of the given equation. 6x 2 + 2x - 8 = 0

Hello:

6x ² + 2x - 8 = 0

look when x = 1 : 6 (1) ²+2 (1) - 8 = 6+2-8=0

6x²+2x-8 = (x-1) g (x)

g (x) = ax+b ... find : a and b

(x-1) (ax+b) = ax²+bx-ax-b = ax² + (b-a) x-b

ax² + (b-a) x-b = 6x ² + 2x - 8

a=6

b-a = 2

- b = - 8

a=6 and b=8

6x²+2x-8 = (x-1) (6x+8)

(x-1) (6x+8) = 0

x-1=0 or 6x+8=0

x=1 or x = - 8/6 = - 4/3

the solutions are : 1, - 4/3