Will mark brainliest! factor the following equation: g (x) = 2x²-2x-24

Hello,

g (x) = 2 (x + 3) (x - 4)

Step-by-step explanation:

g (x) = 2x² - 2x - 24

⇔ g (x) = 2 (x² - x - 12)

⇔ g (x) = 2 ((x - 1/2) ² - (1/2) ² - 12)

⇔ g (x) = 2 ((x - 1/2) ² - 12.25)

⇔ g (x) = 2 ((x - 1/2) ² - 3.5²)

⇔ g (x) = 2 ((x - 1/2) ² - (7/2) ²)

⇔ g (x) = 2 (x - 1/2 + 7/2) (x - 1/2 - 7/2)

⇔ g (x) = 2 (x + 3) (x - 4)

g (x) = 2 (x-4) (x+3)