List questions from polynomials

Published on 25 Mar 2026 - 6:11

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Prove that there is a finite subset of these polynomials whose zeros define the same locus.

Published on 24 Mar 2026 - 23:45

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showing that $F((t))=\big\{\sum\limits_{n=N}^{\infty}a_nt^n\ :\ N\in\mathbb{Z}, a_n\in F\big\}$ is a field for a field $F$

Published on 27 Mar 2026 - 15:20

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An $n$ degree polynomial with more than $n$ roots?

Published on 25 Mar 2026 - 6:00

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Seeking the minimum without calculus

Published on 29 Mar 2026 - 14:27

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Proof (without calculus) that any polynomial with a positive leading coefficient is positive?

Published on 27 Mar 2018 - 23:21

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How to simplify a polynomial with fractional exponents

Published on 25 Mar 2026 - 6:00

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Solve the system of equations $2x^{5}- 2x^{3}y- x^{2}y+ 10x^{3}+ y^{2}- 5y= 0$ ...

Published on 25 Mar 2026 - 12:28

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Prove that a polynomial of odd degree has a root.

Published on 28 Mar 2018 - 5:01

249

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Are positive Vieta's equations sufficient for negative roots?

Published on 29 Mar 2026 - 22:33

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Factor out a common term

Published on 28 Mar 2018 - 17:22

260

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Let $a$ be the real root of the equation $x^3+x+1=0$

Published on 29 Mar 2026 - 22:31

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What rule governs $x^4=10,000$ having complex solutions?

Published on 29 Mar 2018 - 3:17

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Proving $\frac{a}{a+ b}+ \frac{b}{b+ c}+ \frac{c}{2c+ 5a}\geq \frac{38}{39}$

Published on 25 Mar 2026 - 20:36

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Infimum of an even degree polynomial

Published on 25 Mar 2026 - 20:41

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how to solve a derivative with the quotient rule

Prove that there is a finite subset of these polynomials whose zeros define the same locus.

showing that $F((t))=\big\{\sum\limits_{n=N}^{\infty}a_nt^n\ :\ N\in\mathbb{Z}, a_n\in F\big\}$ is a field for a field $F$

An $n$ degree polynomial with more than $n$ roots?

Seeking the minimum without calculus

Proof (without calculus) that any polynomial with a positive leading coefficient is positive?

How to simplify a polynomial with fractional exponents

Solve the system of equations $2x^{5}- 2x^{3}y- x^{2}y+ 10x^{3}+ y^{2}- 5y= 0$ ...

Prove that a polynomial of odd degree has a root.

Are positive Vieta's equations sufficient for negative roots?

Factor out a common term

Let $a$ be the real root of the equation $x^3+x+1=0$

What rule governs $x^4=10,000$ having complex solutions?

Proving $\frac{a}{a+ b}+ \frac{b}{b+ c}+ \frac{c}{2c+ 5a}\geq \frac{38}{39}$

Infimum of an even degree polynomial

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