Answer:
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)
