Answer:
{-2, 1, 2}
Step-by-step explanation:
F(x) = x³ - x² - 4x + 4 is factorable as follows:
F(x) = x²(x - 1) - 4(x - 1). (x - 1) is a common factor. Factor it out:
F(x) = (x - 1)(x² - 4)
x² - 4 can be factored further:
F(x) = (x - 1)(x - 2)(x + 2)
The possible roots of F(x) are {-2, 1, 2}.
