Definition:Primitive Polynomial (Ring Theory)
Let $f \in \Q \sqbrk X$ be such that:
- $\cont f = 1$
where $\cont f$ is the content of $f$.
Then $f$ is described as primitive.
Also defined as
From Polynomial has Integer Coefficients iff Content is Integer it follows that, if $f$ is a primitive polynomial, then:
- $f \in \Z \sqbrk X$