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 and factors .

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

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

So, are factors of the polynomial f(x).

The given factors are factors of the polynomial f(x).

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 and factors .

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

By the resulting quadratic expression factor as

The complete factorization of f(x) is .

The remaining  factor of polynomial f(x) is .

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 and factors .

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

By the resulting quadratic expression factor as

The complete factorization of f(x) is .

The complete factorization of f(x) is .

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 and factors .

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

By the resulting quadratic expression factor as

The complete factorization of f(x) is .

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

                         (1st set euqal to zero)

                            (2nd set euqal to zero)

                          (3rd set euqal to zero)

The real zeros of the function f(x) are .

The polynomial function and factors .

The complete factorization of f(x) is .

The real zeros of the function f(x) are .

The polynomial function graph is

The polynomial function graph is