Question

find the remainder x¹¹–1 divided by (x–1)
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Answer 1

Answer:

putting X = -1, we get

( -1 )^11 + 101 =

so remainder= 100

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Answer 2

Answer:

By factorisation,

(x^11-1) = (x-1)(x^10+x^9+x^8+x^7+......+x^3+x^2+x+1)

So, when x^11-1 is divided by x-1

The remainder will be this 10 degree polynomial

x^10+x^9+x^8+....+x^3+x^2+x+1