List questions from roots

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Find the sum of roots of the polynomial

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Number of roots smaller than degree of polynomial

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Building a cubic function with integer coefficients and trigonometric roots

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How many roots have modulus less than $1$?

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Prove that a polynomial of this form has a real root of this form.

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The polynomial $a z^n+z+1$ has at least one root in $|z| \leq 2$

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Am I thinking about the Argument Principle in the correct way?

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The question about asymptotic expansion of the solution of $x^5+nx-1=0$.

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What is the sum of the cube of the roots of $ x^3 + x^2 - 2x + 1=0$?

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roots of $J_{\nu} (r x)$ (Bessel function of the first kind)were $r$ is a constant.

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How to show that $\frac{3}{2}x-6-\frac{1}{2}\sin(2x)$ has one unique real root?

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Geometry of roots of unity

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A given polynomial equation of 5 degree has three equal roots .

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List Question

Integral eigenvalues of a matrix

Find the sum of roots of the polynomial

Complex Analysis Questions - $|z + 2| + |z - 2| = \sqrt{10}$

Number of roots smaller than degree of polynomial

Building a cubic function with integer coefficients and trigonometric roots

How many roots have modulus less than $1$?

Prove that a polynomial of this form has a real root of this form.

The polynomial $a z^n+z+1$ has at least one root in $|z| \leq 2$

Am I thinking about the Argument Principle in the correct way?

The question about asymptotic expansion of the solution of $x^5+nx-1=0$.

What is the sum of the cube of the roots of $ x^3 + x^2 - 2x + 1=0$?

roots of $J_{\nu} (r x)$ (Bessel function of the first kind)were $r$ is a constant.

How to show that $\frac{3}{2}x-6-\frac{1}{2}\sin(2x)$ has one unique real root?

Geometry of roots of unity

A given polynomial equation of 5 degree has three equal roots .

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