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The remainder obtained when the polynomi...

The remainder obtained when the polynomial `x+x^(3)+x^(9)+x^(27)+x^(81)+x^(243)` is divided by `x^(2)-1` is
(a)6x+1 (b)5x+1 (c)4x (d)6x

A

`6x+1`

B

`5x+1`

C

`4x`

D

`6x`

Text Solution

Verified by Experts

The correct Answer is:
B
`(b)` Put `x^(2)=1` in the given polynomial
`x+x^(2)*x+(x^(2))^(4)*x+(x^(2))^(13)*x+(x^(2))^(40)*x+(x^(2))^(121)*x=5x+1`
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