List questions from factoring

Published on 30 Mar 2015 - 12:52

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Factor the polynomial $x^4 + 2x − 4$ in $\mathbb{Z}_5[x]$.

Published on 29 Mar 2026 - 11:01

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Factoring ln functions

Published on 01 Apr 2015 - 17:44

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In the general number field sieve, do we need to know whether powers of elements in the algebraic factor base divide an element $a+b\theta$?

Published on 02 Apr 2015 - 1:46

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Why are there four solutions to $x^2-2x-8=0$ in $\mathbb{R}$? Or am I wrong?

Published on 02 Apr 2015 - 20:17

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polynomial inverse in rings understanding

Published on 02 Apr 2015 - 21:13

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How to factor $\frac{27}{125}a^6b^9-\frac{1}{64}c^{12}$

Published on 03 Apr 2015 - 4:24

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How can I use Fundamental Theorem of Symmetric Polynomials to factor polynomials?

Published on 29 Mar 2026 - 19:57

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Splitting field of a cubic polynomial understanding

Published on 03 Apr 2015 - 12:27

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Asymptotic upper bound on number of solutions to $ab \equiv n \pmod m$

Published on 31 Mar 2026 - 20:55

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On odd perfect numbers $N$ given in the Eulerian form $N = {q^k}{n^2}$, Part II

Published on 26 Mar 2026 - 16:56

144

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How to factorize $(x-2)^5+x-1$?

Published on 06 Apr 2015 - 14:36

161

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How to factorize $x^4+2x^2-x+2$?

Published on 06 Apr 2015 - 14:56

52

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Simplifying $\frac{3(a^{1/4}+4)}{2a-32a^{1/2}}$

Published on 02 Apr 2026 - 2:02

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how to factorize $(a^2+b^2+c^2)^2-2(a^4+b^4+c^4)$?

Published on 06 Apr 2015 - 19:25

List Question

Examples of prime ideals?

Factor the polynomial $x^4 + 2x − 4$ in $\mathbb{Z}_5[x]$.

Factoring ln functions

In the general number field sieve, do we need to know whether powers of elements in the algebraic factor base divide an element $a+b\theta$?

Why are there four solutions to $x^2-2x-8=0$ in $\mathbb{R}$? Or am I wrong?

polynomial inverse in rings understanding

How to factor $\frac{27}{125}a^6b^9-\frac{1}{64}c^{12}$

How can I use Fundamental Theorem of Symmetric Polynomials to factor polynomials?

Splitting field of a cubic polynomial understanding

Asymptotic upper bound on number of solutions to $ab \equiv n \pmod m$

On odd perfect numbers $N$ given in the Eulerian form $N = {q^k}{n^2}$, Part II

How to factorize $(x-2)^5+x-1$?

How to factorize $x^4+2x^2-x+2$?

Simplifying $\frac{3(a^{1/4}+4)}{2a-32a^{1/2}}$

how to factorize $(a^2+b^2+c^2)^2-2(a^4+b^4+c^4)$?

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