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)

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Check:

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

                                              (Factors)

                                       (Group the factors)

(Foil method)

                                  (Multiply)

                  (Distributive property:)

                     (Multiply)

                                          (Simplify)

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