Sum with Complex Root of x^3+1

1425ApprenticePolynomialsComplex Numbers

24th Philippine Mathematical Olympiad

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

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Sum with Complex Root of x^3+1

1425ApprenticePolynomialsComplex Numbers

24th Philippine Mathematical Olympiad

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

0 students attempted0% solvedRating 1425