If are the th roots of unity other than

MATHEMATICS · Single correct · IB Diploma Programme · Mathematics: Analysis and Approaches · Number and Algebra · Number and Algebra

Problem

\alpha_1,\alpha_2,\alpha_3,\dots,\alpha_{n-1}

are the

n

th roots of unity other than

1

, then

(-\alpha_1)(-\alpha_2)(-\alpha_3)\dots(-\alpha_{n-1})

is equal to: (1) 0 (2) 1 (3)

n

(4)

n^2