Answer: A and D
Step-by-step explanation:
f(x) = x⁴ + 5x³ - x² - 5x
= x(x³ + 5x² - x - 5)
= ↓ x²(x + 5) -1(x + 5)
= ↓ (x + 5)(x² - 1)
= ↓ ↓ (x + 1) (x - 1)
So, the factors are: x, x + 5, x + 1, and x - 1
Thus, the solutions are: x = 0, x = -5, x = -1, and x = 1
Any of those factors or solutions will result in a remainder of 0.
