Let the function g be defined by g(x) = x 4 − x
3 − 9x
2 + 9x. It is given that
x = 1 is a zero of the function g. Which of the following best represents the fully
factored form of the function g?

F g(x) = x(x − 3)(x + 3)(x − 1)
G g(x) = x(x + 1)(x − 1)(x − 3)
H g(x) = (x − 3)(x + 3)(x − 1)(x + 1)
J g(x) = x(x − 9)(x + 9)(x − 1)