Question

If x^15 + 51 is divided by x+ 1 , the remainder is?

Answer 1

Now, putting -1 for X in X^51+51, we get: (-1)^51 + 51, which is nothing but -1 + 51 = 50. Therefore, when X^51 + 51 is divided by (X+1), we get the remainder as 50.

Answer 2

x+1=0

x= -1

p(x)=x¹⁵+51

By remainder theorem,we know that when p(x)is divided by (x+),the remainder is p(-1)

p(-1)= (-1)¹⁵+51

= -1+51

= 50