Question

The remainder when (x^100 + x^2 +1)is divided by (x^2 -1) is a)1 b)3 c)103 d)2 ​

Answer 1

Step-by-step explanation:

If you take (x^2-1)

=(x-1)(x+1)

After,

: x-1=0

then x=1

:x+1=0

then x= -1

here you got two values of X are 1 and -1

after you need to focus on (x^100+x^2+1)

(if you put 1 and -1 in place of X)

1. x(1)=1^100+1^2+1

=1+1+1=(3)

1. x(-1)=-1^100+(-1)^2+1

=1+1+1=(3)

here, you get the answer 3