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If $\alpha$ is a non-real root of $x^6=1$, then $\large\frac{\alpha ^5+ \alpha ^3+ \alpha +1}{\alpha ^2+1}$ is equal to :

\[\begin {array} {1 1} (a)\;\alpha^2 & \quad (b)\;0 \\ (c)\;-\alpha^2 & \quad (d)\;\alpha \end {array}\]

1 Answer

$(c)\;-\alpha^2$
answered Feb 27, 2014 by meena.p
 
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