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 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)

.