# Let m be a non-zero integer and n be a positive integer.

Let m be a non-zero integer and n be a positive integer. Let R be the remainder obtained on dividing the polynomial x^{n} + m^{n} by (x – m). Then

(a) R is a non-zero event integer

(b) R is odd, if m is odd

(c) R = s^{2} for some integers, if n is even

(d) R = t^{2} for some integer t, if 3 divides n

**Answer: (a) R is a non-zero event integer**