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(x^(3)-1) can be fa ctorised as...

`(x^(3)-1)` can be fa ctorised as

A

`(x-1)(x-omega)(x+omega^(2))`

B

`(x-1)(x-omega)(x-omega^(2))`

C

`(x-1)(x+omega)(x+omega^(2))`

D

`(x-1)(x+omega)(x-omega^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
As we know that cube root of unity is `1, omega and omega^(2)`
`thereforex^(3)-1=(x-1)(x-omega)(x-omega^(2))`
`therefore` Option (b) is correct.
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NDA PREVIOUS YEARS-COMPLEX NUMBERS-Multiple choice question
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