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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.

8 votes
3 answers
604 views

Is it possible to create a polynomial $p(x)$ with this relation between $p(0)$ and $p(c)$?

Given $b$ and $c$ with $b,c>1$, is it possible to construct a polynomial $p(x)$, whose degree is $n$ for all $c$ and $b$, such that: $|p|$ is strictly increasing on $[1,c]$ and $|b \cdot p(c)| < |p( …
2 votes
2 answers
151 views

Is it possible to create a polynomial $p(x)$ with this relation between $p(0)$ and $p(c)$? -...

Note: This question is based on a previous question I was continuing my research from last time, and I realized my question was too strict! Instead of the polynomial being strictly increasing, it only …