GCE A-Level Further Mathematics Practice Questions - Cameroon General Certificate Of Education Advanced Level Further Mathematics (0775) Exam

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Find the three distinct complex roots of the polynomial equation $z^3 = -8i$ in exponential form $r e^{i\theta}$ with $-\pi < \theta \le \pi$.

$$2e^{-i\pi/6}, 2e^{i\pi/2}, 2e^{-i5\pi/6}$ $$2e^{i\pi/6}, 2e^{i5\pi/6}, 2e^{-i\pi/2}$ $$8e^{-i\pi/6}, 8e^{i\pi/2}, 8e^{-i5\pi/6}$ $$2e^{-i\pi/2}, 2e^{i\pi/6}, 2e^{i5\pi/6}$

Correct Answer:

$$2e^{-i\pi/6}, 2e^{i\pi/2}, 2e^{-i5\pi/6}$

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