Question

Find the remainder when x^53 + 1 is divided by (x+1)

Answer 1

$\sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {1}^{53} \\ \sf x + 1\overline{ ){x}^{53} + 1} \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \underline{ \: \: {x}^{53} + 1 \: \: } \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: 0$

Remainder = 0

Answer 2

Answer:

Hence, the remainder is 50.