תשובה: (x + 2) הסבר: #f (x) = (a / b) / (c / d) # פקטור כל הפונקציות של x: 1. #a = 3x ^ 2 - 7x -6 = # (3x + 2) (x - 3) 2. #b = x ^ 3 - 3x ^ 2 + 4x - 12 = (x - 3) (x ^ 2 + 4) # # 3. #c = 3x ^ 2 - 4x - 4 = # (3x + 2) (x - 2) 4. # x = x ^ 4 - 16 = (x ^ 2 + 4) (x - 2) (x + 2) # (x - 2 + 4) (x - 2) (x + 2) (x - 2 + 4)) / (3x + 2) (x - 2) # f (x) = (x + 2)
