# It is given that (x – m) and (x – km) are simple factors of A (x) :

Let p and q be non-zero integers. Consider the polynomial A (x) = x^{2} + px + q

It is given that (x – m) and (x – km) are simple factors of A (x), where m is a non-zero integer and k is a positive integer, k>2. Which one of the following is correct?

(a) (k +1)^{2}p^{2} = kq

(b) (k + 1)^{2}q = kp^{2}

(c) k^{2}q = (k + 1)p^{2}

(d) k^{2} p^{2} = (k + 1)^{2} q

**Answer: (a) (k +1) ^{2}p^{2} = kq**