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The remainder obtained when the polynomial `x+x^(3)+x^(9)+x^(27)+x^(81)+x^(243)` is divided by `x^(2)-1` is

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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`
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Correct Answer - 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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