Mathematics

Problem

Let

g(x)=x^{4}-6x^{3}+5x^{2}+24x-36

. a. (i) Verify that

x=2

and

x=3

are zeros of

g(x)

. b. (ii) Factorise

g(x)

completely. c. (iii) Determine the remaining zeros and write the product of all the zeros.