Cubic rootsHardQuestion 220042
Question
If 1, ω, ω² are the cube roots of unity, then 1 + ω + ω² equals:
- A0Correct
- B1
- C3
- Dω²
Correct answer
0
Explanation
The three cube roots of unity are the roots of x³ − 1 = (x−1)(x²+x+1) = 0. So 1+ω+ω² = 0 (sum of roots of x²+x+1=0 is −1, plus 1 = 0).