Question

Find the remainder when x51+x is divided by x+1

Answer 1

Answer:) Let p(x) = x51 + 51 . …(i)

When we divide p(x) by x+1, we get the remainder p(-1)

On putting x= -1 in Eq. (i), we get p(-1) = (-1)51 + 51

= -1 + 51 = 50

Hence, the remainder is 50.

Explanation: