Mathematics

Problem

Let

s(x)=k x^{2}+(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