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)

.