It is not possible.
Note that if the degree of a polynomial is n, there are at most 5 roots for it.
If a root a has a multiplicity of b, it's like you have b roots that are all equal to a.
In fact, if a has a multiplicity of b, you have
denots the (b-1)th derivative of f.
I replied to someone here : http://www.mathhelpforum.com/math-he...tiplicity.html dunno if it can give you another view on it