Factor the polynomial F(x) =x^3-x^2-4x+4 completely.

Part 1: Find and list all the possible roots of F(x).

Part 2: Use the remainder Theorem to determine which of the roots from Part I are roots of F(x).

Part 3:Factor the polynomial F(x)=x^3-x^2-4x+4 completely show your work.

Part 4:check your answer from Part 3 by multiplying the factors. Show your work