Question

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

Answer 1

p(x) = (X^31 + 31)
f(x) = (X+1)

Using Remainder Theorem

f(x) = X+1 = 0
X = -1

Then Remainder
=
P(-1) = ( -1^31 + 31)
Remainder = (-1+31)
= (30)

Answer 2

Remainder= (-1)^31+31
=-1+31
=30
Just put the value of x in x^31+31 and apply remainders theorm.