Question

Find the remainder ,when x^51+51 is divided by x+1 ,

Answer 1

Step-by-step explanation:

so,the required solution is...

Answer 2

You are going to divide x⁵¹+51 by x+1. You can work out the remainder by the remainder theorem.

If we use the division algorithm, here is x⁵¹+1=(x+1)Q(x)+R

So we should find the remainder by applying x+1=0

The required solution is x=-1 here:

→ (-1)⁵¹+51=R → R=50

Since we got R=50, the remainder is 50