The polynomial is and the factor is .

The binomial is a factor of polynomial.

Here is a zero of the realted polynomial function.

Use synthetic division to find remaining factor of the polynomial.

Since the remainder is zero, is a factor of polynomial.

The polynomial can be factores as .

The polynomial is the depressed polynomial.

                             (Factor the trinomial)

Hence, .

Check:

Multiply the factors and check whether it is intial polynomial or not.

                          (Factors)

                    (Group the factors)

                                   (Differences of squares)

            (Foli method)

                            (Multiply)

                                    (Combine terms like terms)

                   (Distributive property: )

                 (Multiply)

                         (Simplify)

. \ \