Consider the linear polynomial p(x)=ax+b, where a and b are real numbers with a=0. Answer the questions given below.
a. (i) Explain why the graph of y=p(x) is a straight line.
b. (ii) Using the fact that a straight line intersects the x-axis at at most one point, explain why p(x) has exactly one real zero.
c. (iii) If p(k)=0 for some real number k, justify why no other real number can satisfy p(x)=0.