Question

What is the remainder when x^101 is divided by x^2 -1

Answer 1

Answer:

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Step-by-step explanation:

ANSWER ::

The zero of x^2 -1 is given by

x^2 -1 = 0

x = - 1, 1

So the required is

1^101 = 1 or ( - 1) ^101 = - 1

Answer 2

Answer:

The answer is +1 or (-1)

Step-by-step explanation:

x^2-1=0

(x+1)(x-1)=0

x= (-1) or 1

p(1)=1^101

p(1)=1 --⇒ Remainder 1

When p(-1)= (-1)^101

p(-1)= (-1)⇒ Remainder 2

Therefore the answer is (+1) or (-1)