Question

If x5 + a5 is divisible by (x-a), the remainder is?

Answer 1

ANSWER ::

The zero of the polynomial x - a is given by

x-a = 0

So x = a

Let f(x) = x^5 + a^5

Now by the Remainder Theorem the required Remainder is

f(a) = a^5 + a^5 = 2 a^5