 If one chooses 2 as the content, the primitive part of this polynomial is 
-and thus the primitive-part-content factorization is
For aesthetic reasons, one often prefers choosing a negative content, here –2, giving the primitive-part-content factorization

In the remainder of this article, we consider polynomials over a unique factorization domain , which can typically be the ring of integers, or a polynomial ring over a field.In , greatest common divisors are well defined, and are unique up to the multiplication by a unit of .The content of a polynomial with coefficients in is the greatest common divisor of its coefficients, and, as such, is defined up to the multiplication by a unit.