Question

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

Answer 1

Answer:

0

Step-by-step explanation:

x-1=0

x=0

p(x) = x^101 - 1

= (1)^101 - 1

= 1-1

= 0

Answer 2

Given,

The equation x¹°¹-1 is given along with the divisor (x-1).

To find,

We have to find the remainder.

Solution,

The remainder when x¹°¹-1 is divided by (x-1) is 0.

We can simply find the remainder by using the remainder theorem.

It states ''Let p(x) be any polynomial of degree greater than or equal to one and let a be any real number. If p(x) is divided by the linear polynomial (x-a), then the remainder is p(a).''

p(x) = x¹°¹-1

p(1) = (1)¹°¹ -1

     = 1-1

     = 0

Hence, the remainder when x¹°¹-1 is divided by (x-1) is 0.