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 ge 2`. Which one of the following is correct?

Options

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`