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If alpha and beta are the roots of x^(2)...

If `alpha` and `beta` are the roots of `x^(2)+x+1=0`, then `alpha^(16)+beta^(16)=`

A

`(p^(2)+q)(p^(2)-3 p)`

B

`(p^(2)-q)(p^(2)+3 q)`

C

`(p^(2)+q)(p^(2)+3 q)`

D

`(p^(2)-q)(p^(2)-3 q)`

Text Solution

Verified by Experts

The correct Answer is:
D
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