Which of the following lists all of the roots of

Question

X^5 - 3x^4 + 3x^3 - x^2 =0

Why is the answer ( 0, 1)

Answer 1

x^5 - 3x^4 + 3x^3 - x^2
= x^2(x^3-3x^2+3x-1)
= x^2(x-1)^3