(x^n-a^n) is completely divisible by (x ...

`(x^n-a^n)` is completely divisible by (x - a) is

A

for every natural number n

B

for every even natural number n

C

for every odd natural number n

D

for every prime number n

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

(x^(n)-a^(n)) is completely divisible by (x+a) , when

N! is completely divisible by 13^(52) . What is sum of the digits of the smallest such number N?

5^(n)-1 is always divisible by (n in N)

Using the principle of mathematical induction. Prove that (x^(n)-y^(n)) is divisible by (x-y) for all n in N .

(x^(n)-a^(n)) is divisible by (x-a) for all values of n (b) only for even values of n (c) only for odd values of n(d) only for prime values of n

If lx^(2)+mx+n is exactly divisible by (x - 1 ) and (x + 1) and leaves a remainder 1 when divided by x + 2 , then find m and n .

x^(2n-1)+y^(2n-1) is divisible by x+y

For what values of m and n , the expression 2x^(2)-(m+n)x+2n is exactly divisible by (x-1) and (x-2) ?