Question

find the remainder when X raise to power 101 minus 1 is divisible by x - 1​

Answer 1

Answer:

Remainder = 0

Step-by-step explanation:

Given :

To find the remainder when $x^{101}-1$ is DIVIDED by $x-1$,

Solution :

We know that,

Every number is factor of itself,.

⇒ 0 is a factor of 0,.

Let,

x - 1 = 0

⇒ x = 1,.

_______

By using remainder theorem,

We get,

p(x) = $x^{101}-1$

⇒ $p(1) = 1^{101}-1 = 1 - 1 = 0$

∴ 0 is the remainder,.