The polynomial is .

The binomial is a factor of polynomial.

Here is a zero of the related 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 factored 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)

     (Foil method)

                                      (Multiply)

                          (Distributive property: )

                             (Multiply)

                                             (Simplify)

.