If is a polynomial function of a degree ,

then has excatly linear factors and .

Where is some non zero real number,

           are the complex zeros of .

The zero is .

Using the linear factorization therom and the zero , the polynomial can be written as follows.

,  where can be any non zero real number.

Let .

Write the function in the standard form.

.

.

Since is a factor when .

The least degree polynomial function with integer coefficients that has as a zero is

or any non multiple of .

.