The polynomial function .

The polynomial function graph is

From the graph zeros are .

The polynomial function graph is

From the graph zeros are .

The polynomial function .

The polynomial function graph is

From the graph the exact zero is 4.

The polynomial function graph is

From the graph the exact zero is 4.

The remainder theorem is " If a polynomial f(x) is divided by , the remainder is r = f(k) ".

The factor theorem is " A polynomial f(x) has a factor ".

The polynomial function .

From (c) result is a factor of polynomial g(x).

By using remainder theorem and by using factor theorem is a factor of f(x).

By the resulting quadratic expression factor as

          (Simplify)

The complete factorization of g(x) is .

To find the real zeros of the function,  set g(x) equal to zero.

                                   (1st set equal to zero)

              (2nd set equal to zero)

The complete factorization of g(x) is .