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# Questions tagged [polynomials]

Questions in which polynomials (single or several variables) play a key role. It is typically important that this tag is combined with other tags; polynomials appear in very different contexts. Please, use at least one of the top-level tags, such as nt.number-theory, co.combinatorics, ac.commutative-algebra, in addition to it. Also, note the more specific tags for some special types of polynomials, e.g., orthogonal-polynomials, symmetric-polynomials.

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### Polynomials that share at least one root

This is a generalization of an MSE question, Polynomials that share at least one root. Let $P(x)$ be a specific polynomial of degree $d$, with given real coefficients $A_i$ ($A_d=1$), and real roots: ...
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Let $\mathbf{x} = (x_1, \cdots, x_n)$, and consider a rational function $F : \mathbb{R}^n \rightarrow \mathbb{R}$ be given by $$\displaystyle F(\mathbf{x}) = \sum_{i = 1}^m \frac{Q_i(x_1, \cdots, x_{... 0answers 80 views ### Can entropy of a network be written as a polynomial? In my research, I met a problem here. Consider a weighted graph Laplacian matrix$$\mathcal{L}_w(\mathcal{G}) = DWD^T, where $D$ is a incidence matrix and $W$ is diagonal with each diagonal ...

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