List questions from polynomials

Published on 25 Mar 2026 - 14:14

93

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Is there a fast and easy way to solve $x^7-10=0$?

Published on 23 Mar 2018 - 1:03

286

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Inequality of polynomial on neighbour quadrilaterals

Published on 25 Mar 2026 - 9:28

714

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Factor $x^8 - x$ into irreducibles in $\mathbb{Z}[x].$

Published on 25 Mar 2026 - 4:40

62

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Polynomials of degree $\ge2$ whose images partition $\mathbb{N}$

Published on 23 Mar 2018 - 18:32

660

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Why does $x^2 = 0$ give a repeated root of $x=0,0$ instead of a single root of $x=0$.

Published on 29 Mar 2026 - 20:53

92

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Prove that $x^4 + ax^3 + (b - 2)x^2 - ax + 1$ has $4$ real roots

Published on 25 Mar 2026 - 7:25

101

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Is $k$ that satisfies $\alpha^{\frac{1}{k}}<1+ε$ polynomial in $\frac1ε$?

Published on 24 Mar 2018 - 15:21

65

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Cubic equation with one integral root

Published on 25 Mar 2026 - 4:35

223

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Every non-negative multivariate polynomial has degree even?

Published on 24 Mar 2018 - 18:19

91

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Writing the discriminant of an integer cubic polynomial with no double root as a combination of polynomials

Published on 22 Mar 2026 - 20:52

645

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Why does the cube root of a polynomial in a finite field produce a different polynomial when re-cubed?

Published on 22 Mar 2026 - 14:21

87

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What is $f(z)$?

Published on 24 Mar 2018 - 21:03

57

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Properties of $\mathbb{Z}_n$ where n is square free

Published on 25 Mar 2026 - 14:27

594

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Finding $n^\text{th}$ degree polynomial function given conditions

Published on 24 Mar 2018 - 23:06

List Question

Degree of the determinant of a matrix

Is there a fast and easy way to solve $x^7-10=0$?

Inequality of polynomial on neighbour quadrilaterals

Factor $x^8 - x$ into irreducibles in $\mathbb{Z}[x].$

Polynomials of degree $\ge2$ whose images partition $\mathbb{N}$

Why does $x^2 = 0$ give a repeated root of $x=0,0$ instead of a single root of $x=0$.

Prove that $x^4 + ax^3 + (b - 2)x^2 - ax + 1$ has $4$ real roots

Is $k$ that satisfies $\alpha^{\frac{1}{k}}<1+ε$ polynomial in $\frac1ε$?

Cubic equation with one integral root

Every non-negative multivariate polynomial has degree even?

Writing the discriminant of an integer cubic polynomial with no double root as a combination of polynomials

Why does the cube root of a polynomial in a finite field produce a different polynomial when re-cubed?

What is $f(z)$?

Properties of $\mathbb{Z}_n$ where n is square free

Finding $n^\text{th}$ degree polynomial function given conditions

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