#### Question

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

0

1

49

50

#### Solution

As f(x) = x^{51} + 51 is divided by (x +1).

The remainder will be

`f(-1) = (-1)^51 + 51`

`= -1 + 51`

` = 50`

Is there an error in this question or solution?

Solution If X51 + 51 is Divided by X + 1, the Remainder is Concept: Factorisation of Polynomials.