Question

If ( x³¹ + 31) is divided by (x + 1) then find the remainder.

Answer 1

Let p(x) = x³¹ + 31.

Divisor = x + 1

By remainder theorem, we have

Remainder = p(−1) = (−1)³¹ + 31 = −1 + 31 = 30

Thus, the remainder when (x³¹ + 31) is divided by (x + 1) is 30.