Question

If $x^{51}$+51 is divided by x + 1, the remainder is

• A. 0
• B. 1
• C. 49
• D. 50

Answer 1

The correct option is D

50

Let f(x) =$x^{51}$+51 is divisible by x+ 1

Let x + 1 = 0, then x =-1

$\therefore$ f(1) $=(-1{)}^{51}$ + 51=-1 + 51

($\because$ power 51 is an odd integer)

= 50