Question

find the remainder when x^101 -1 is divided by x-1​

Answer 1

Answer:

0

Explanation:

Let g(x) = x-1

Let p(x) = (x)¹⁰¹ -1

Put g(x) = 0

ie:- x-1 = 0

x= 0+1

x=1 in p(x)

p(x) = x¹⁰¹ - 1

Put x= 1

p(1) = (1)¹⁰¹ - 1

{As (1)¹⁰¹ = 1}

So, p(1) =1-1

p(1) = 0

HOPE IT HELPS....