Polynomials

$$R[x]$$

The set of values that can be expressed using polynomial expressions with coefficients in the ring $R$ together with $x$. If $x$ is a formal polynomial indeterminate, this describes a ring of formal polynomials.

$$R[x, y, z]$$

The set of formal polynomials in the three indeterminates $\left(x, y, z\right)$, with coefficients in the ring $R$.

$${x}^{2} + 1 \in \mathbb{Q}[x]$$

An element of a formal polynomial ring.

$$3 {\pi}^{2} - \pi \in \mathbb{Q}[\pi]$$

An element of a transcendental number ring.

Last updated: 2020-03-06 00:22:16