Mathematics

Problem

A linear polynomial

p(x)=mx+n

satisfies the following conditions: a. (i) Its zero is

x=4

. b. (ii)

p(-3)=9

. c. (iii) Determine the values of

m

and

n

. d. (iv) Using the values of

m

and

n

, verify that the polynomial

p(x)

has exactly one zero.