Question 50
Let $\omega \neq -1$ be a complex root of $x^{3}+1=0$. What is the value of $1+2 \omega+3 \omega^{2}+4 \omega^{3}+5 \omega^{4}$?
(a) 3
(b) -4
(c) 5
(d) -6
(a) 3
(b) -4
(c) 5
(d) -6
MathNet 2022-part-04 — 197 problems (EN–VI) Question 50
Math Olympiad Vault · MathNet 2022-part-04 — 197 problems (EN–VI)