Mathematics

Problem

Consider the polynomial

p(x)=2x^{3}-5x^{2}+4x-7

. a. (i) Divide

p(x)

x-3

and write the quotient and the remainder. b. (ii) Calculate the value of

p(3)

. c. (iii) Explain why the remainders obtained in parts (i) and (ii) are equal.