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.

                                                           (Original equation)

                                                 (Factors)

                                           (Take out common factors)

                                                     (Group the factors)

.

Check:

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

                                          (Factors)

                                   (Group the factors)

   (Foil method)

                              (Multiply)

                       (Distributive property: )

                        (Multiply)

                                        (Simplify)

.

.