Let s(x)=kx2+(k−3)x+2, where k is a real number.
(i) If x=1 is a zero of s(x), determine the possible value(s) of k.
(ii) For each value of k obtained in part (i), find the second zero of s(x).
(iii) Write s(x) in its factorised form for every admissible value of k.