Question

Find the remainder when x to the power 11 + 1 is divided by x+1

Answer 1

Let f (x) = x^11+1

put X= -1

f (-1) = (-1)^11 + 1

-1+1= 0

Hence the remainder is 0

Answer 2

Hi friend,

Find the remainder when x¹¹ + 1 is divided by x+1

x +1 = 0
x = -1

Put x = -1 in x¹¹ + 1

→ (-1)¹¹ + 1

→ -1+1

→ 0

Therefore,remainder is 0