If ω ≠  1 is a cube root of unity, for equation (z - 1)3 + 27 = 0

Statement I: roots are -2, 1 - 3ω, 1 - 3ω2

Statement II: Sum of roots is 0.

Statement III: Product of roots is -26.

Which of the above statement(s) is/are correct.

1
Only I
2
I and III
3
I, II and III
4
More than one of the above
5
None of the above

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