Mathematics

Problem

Consider the polynomial

h(x)=2x^{4}-3x^{3}-9x^{2}+8x+12

. a. (i) Show that

x=2

is a zero of

h(x)

. b. (ii) Factorise

h(x)

completely without using a calculator. c. (iii) List all the zeros of

h(x)

and indicate how many times each zero occurs in the factorisation.