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 factores 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)

                              (Differences of squares)

              (Foli method)

                          (Multiply)

                (Distributive property: )

                   (Multiply)

                            (Simplify)

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