Answer: 0.
- A 0
- B 1
- C 3
- D -1
Correct answer: A. 0
Explanation: Key property: ω³=1 (cube root of unity). So ω⁴=ω³·ω=1·ω=ω. The sum becomes 1+ω²+ω. Property of cube roots of unity: 1+ω+ω²=0. So 1+ω+ω²=0. Answer: 1+ω²+ω⁴ = 0
A complex number z = a+ib is plotted as a point (or vector from the origin) on the Argand plane, with the real part along the horizontal axis and the imaginary part along the vertical; its modulus |z| is the vector's length, and its argument θ is the angle from the positive real axis.
Concept context
Complex numbers in a+ib form, modulus, argument, polar form, cube roots of unity, and quadratic equations with complex roots
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