If
is a polynomial function of degree
, then
has excatly
linear factors and
.
Where
is some non zero real numbe,
are the complex zeros of
.
The zeros are
.
Using the linear factorization therom and the zeros
, we can write
as follows.
.
Let
.
Then write the function in the standard form.
\
.



Therefore, a function of least degree that has
as zeros is
or any multiple of
.
.