List questions from polynomials

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List Question

Polynomial Graphs in the neighbourhood of zero

Is this proposition about polynomials obvious or not?

Indefinite integral of reciprocal n degree polynomial

Extract the Square Root of $ a^2-\left(\frac{\left(3a \sqrt{a}\right)}{2}\right)-\left(\frac{\left(3 \sqrt{a}\right)}{2}\right)+\frac{41a}{16}+1 $

Finding the coefficient of $x^2$ in $\tiny{\left(\left(\left(\left(x-2\right)^2-2\right)^2-2\right)^2-\cdots-2\right)^2}$

Finding roots with mod and greatest integer

Can the max of a polynomial be near a zero?

n-th order polynomial with all roots where all coefficients are 1 or -1, highest order of n?

Polynomials have smallest degree

How to solve this number theory question from INMO?

$L(s,\chi)=1$ for non trivial Dirichlet character modulo a polynomial of degree $1$

How to find the root of the polynomial $x^2+x+1$ over $\mathbb{Z}_2$ in this field?

How to check for polynomial

Existence of $n$ distinct roots of a set of polynomials

Concerning the evaluation map

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