Mathematics

Problem

For the polynomial

r(x)=k x^{2}+(k-3)x+1

, answer the following: a. (i) Determine the value(s) of

k

for which

x=1

is a zero of

r(x)

. b. (ii) For each value of

k

obtained in part (i), find the other zero of

r(x)

. c. (iii) Verify your answer to part (ii) by direct substitution.