alleryCube roots of unity are 1, ω, ω². Find 1 + ω + ω²:
Aω³
B0
C3
D1
Answer & Solution
Correct answer: B. 0
Roots of z³ - 1 = 0 are 1, ω, ω².
Sum of roots = -coefficient of z² / coefficient of z³ = 0. So 1 + ω + ω² = 0. Useful identity for many problems.
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