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Question

Question: The remainder obtained when the polynomial \(1 + x + x^{3} + x^{9} + x^{27} + x^{81} + x^{243}\) is...

The remainder obtained when the polynomial

1+x+x3+x9+x27+x81+x2431 + x + x^{3} + x^{9} + x^{27} + x^{81} + x^{243} is divided by x1x - 1 is

A

3

B

5

C

7

D

11

Answer

7

Explanation

Solution

Putting x=1x = 1, remainder = 7