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Question

Question: The remainder obtained when the polynomial \(x^{64} + x^{27} + 1\) is divided by \((x + 1)\) is...

The remainder obtained when the polynomial

x64+x27+1x^{64} + x^{27} + 1 is divided by (x+1)(x + 1) is

A

1

B

– 1

C

2

D

– 2

Answer

1

Explanation

Solution

Remainder of x64+x27+1x^{64} + x^{27} + 1, when divided by x+1x + 1 is

(1)64+(1)27+1=11+1=1( - 1)^{64} + ( - 1)^{27} + 1 = 1 - 1 + 1 = 1.