The quadratic polynomial r(x)=x2+4x−5 is given below.
a. (i) Find r(2).
b. (ii) Using the definition of a zero of a polynomial, state whether x=2 is a zero of r(x). Give a reason for your answer.
c. (iii) Explain how the value obtained in part (i) is related to the remainder obtained when r(x) is divided by (x−2)."