What is the result of dividing x^3-4 by x+2?

-1/2, 3/2

Step-by-step explanation:

x² - x - 3/4 = 0

4x²/4 - 4x/4 - 3/4 = 0

4x² - 4x - 3 = 0

a = 4, b = - 4, c = - 3

∆ = b² - 4ac

∆ = ( - 4) ² - 4 • 4 • ( - 3)

∆ = 16 + 48

∆ = 64

x = - b ± √∆ / 2a

x = - ( - 4) ±√64 / 2 • 4

x = 4 ± 8 / 8

x' = 4 + 8 / 8 = 12/8 : 4 = 3/2

x" = 4 - 8 / 8 = - 4/8 : 4 = - 1/2

S = { - 1/2, 3/2}