Question

The remainder when $x^{101}+101$ is divided by x+1 is:

• A. 100
• B. 101
• C. 102
• D. 103

Answer 1

The correct option is A

100

According to a rule: $\frac{P\left(x\right)}{(x-a)}$ leaves the remainder as P(a).

$\frac{x^{101}+101}{(x+1)}$ = P(-1) = - 1 + 101 = 100