Question

Find the remainder when $x^{51}+51$ is divided by (x+1).

• A. 52
• B. -1
• C. 51
• D. 50

Answer 1

The correct option is D

50

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

$\frac{x^{51}+51}{(x+1)}$ = P(-1) = - 1 + 51 = 50