When (x 31 + 31) is divided by (x + 1), the remainder is

Question

Philoid · Accepted Answer

Let, p (x) = (x³¹ + 31)

And, x + 1 = 0

x = - 1

It is given that, (x + 1) is a factor of p (x) so the remainder is equal to p (-1)

∴ p (-1) = (-1)³¹ + 31

= - 1 + 31

= 30

Hence, option C is correct

When (x31 + 31) is divided by (x + 1), the remainder is