NIELIT 2019 Feb Scientist D - Section C: 30

Question

$\left (x^{n}+a^{n} \right)$ is divisible by $(x+a)$ :

• 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 $n$

Answer 1

(x^n - a^n) is divisible by (x - a) for all values of n.

(x^n - a^n) is divisible by (x + a) for even values of n.

(x^n + a^n) is divisible by (x + a) for odd values of n.

 

ANSWER:C