List questions from polynomials

Published on 12 Apr 2026 - 1:36

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Bound for the roots of a polynomial in terms of coefficients

Published on 11 Apr 2026 - 1:30

144

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Why is $x^5 + 10x^4 -2$ unsolvable?

Published on 10 Mar 2019 - 4:12

207

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Why is $p_{3}(x) = 9x^{2}-3=3(x\sqrt{3}-1)(x\sqrt{3}+1)$ reducible over integers?

Published on 26 Mar 2026 - 18:50

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Proof of identity for $\gcd\{f(d), d \geq 1\}$ for polynomials $f(x) \in \mathbb{Z}[x]$

Published on 12 Apr 2026 - 9:54

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Ideals in Laurent polynomials over a field

Published on 30 Mar 2026 - 14:56

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Let $x \in \Bbb R $. Prove that if $x^5+4x^4+3x^3-x^2+3x-4 \ge 0$, then $x \ge 0$

Published on 10 Mar 2019 - 17:18

165

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Factoring a polynomial in $\mathbb{Z_3}$ into linear factors.

Published on 11 Apr 2026 - 4:26

480

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If $\sqrt{a}-\sqrt{b}$ is a root of a polynomial with integer coefficients, then so is $\sqrt{a}+\sqrt{b}$.

Published on 12 Apr 2026 - 20:55

53

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Does polynomial keep inverse?

Published on 10 Apr 2026 - 22:41

394

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How did I solve this (triply logarithmic) equation?

Published on 11 Apr 2026 - 22:03

154

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Show that rational functions are unique after canceling common divisors

Published on 12 Apr 2026 - 18:17

74

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Polynomial division and with large divisor

Published on 11 Mar 2019 - 11:57

44

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Computing $m-n$

Published on 13 Apr 2026 - 2:39

44

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Expression Involving Roots of a Polynomial

Published on 11 Mar 2019 - 17:19

List Question

Do cubics always have one real root?

Bound for the roots of a polynomial in terms of coefficients

Why is $x^5 + 10x^4 -2$ unsolvable?

Why is $p_{3}(x) = 9x^{2}-3=3(x\sqrt{3}-1)(x\sqrt{3}+1)$ reducible over integers?

Proof of identity for $\gcd\{f(d), d \geq 1\}$ for polynomials $f(x) \in \mathbb{Z}[x]$

Ideals in Laurent polynomials over a field

Let $x \in \Bbb R $. Prove that if $x^5+4x^4+3x^3-x^2+3x-4 \ge 0$, then $x \ge 0$

Factoring a polynomial in $\mathbb{Z_3}$ into linear factors.

If $\sqrt{a}-\sqrt{b}$ is a root of a polynomial with integer coefficients, then so is $\sqrt{a}+\sqrt{b}$.

Does polynomial keep inverse?

How did I solve this (triply logarithmic) equation?

Show that rational functions are unique after canceling common divisors

Polynomial division and with large divisor

Computing $m-n$

Expression Involving Roots of a Polynomial

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