Question

When $x^{200}+1$ is divided by $x^2+1$, the remainder is equal to

• A.
• B. 2x-1
• C. 2
• D. 1

Answer 1

The correct option is C

2

$x^2-(\sqrt{-1}{)}^2$ = $x^2+1$

$\Rightarrow \frac{(x^{200}+1)}{(x^2+1)}is(\sqrt{-1}{)}^{200}+1$ = $1^{100}+1$ =2