List questions from factoring

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How to solve a $10$ degree Polynomial? (without using the normal tricks)

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Sufficient conditions for a polynomial to have different factorizations over $\mathbb{Q}$ and $\mathbb{Z}_p$

Published on 11 Oct 2018 - 9:21

177

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If $\alpha$ and $\beta$ are roots of $(x^2)-(4x)-1=0$, find $\sqrt[3]{\alpha}+ \sqrt[3]{\beta}$

Published on 25 Mar 2026 - 9:10

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Dividing $n^k+1$ by $n+1$ if and only if $k$ is odd

Published on 26 Mar 2026 - 16:09

77

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Finding values to make an equation with a $x^4$ into a perfect square

Published on 25 Mar 2026 - 6:02

78

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Help factorising this matrix series

Published on 12 Oct 2018 - 12:52

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Factor $10^6-1$ completely

Published on 26 Mar 2026 - 3:10

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Solving A Problem Involving Pythagorean Theorem And Polynomials

Published on 27 Mar 2026 - 14:11

511

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Prove that gcd$(n^2+1, (n+1)^2+1)$ is either 1 or 5

Published on 26 Mar 2026 - 3:11

669

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Factor $x^ 5 - x^4 - x^ 2 - 1$ modulo $16$, and over $\mathbb{Q }$

Published on 22 Mar 2026 - 22:57

44

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Regarding algebric manipulation in order to find $a_0^2 - a_1^2 + a_2^2 + ... a_{2n}^2$

Published on 27 Mar 2026 - 9:25

242

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Find number of invertible elements in $\mathbb{Z}[i]/(220+55i)\mathbb{Z}[i]$

Published on 25 Mar 2026 - 6:04

178

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INMO 1998 question

Published on 25 Mar 2026 - 20:39

153

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How does this method work to find prime numbers?

Published on 25 Mar 2026 - 22:30

List Question

How to prove $f(x)=x^4$ is concave up by definition?

How to solve a $10$ degree Polynomial? (without using the normal tricks)

Sufficient conditions for a polynomial to have different factorizations over $\mathbb{Q}$ and $\mathbb{Z}_p$

If $\alpha$ and $\beta$ are roots of $(x^2)-(4x)-1=0$, find $\sqrt[3]{\alpha}+ \sqrt[3]{\beta}$

Dividing $n^k+1$ by $n+1$ if and only if $k$ is odd

Finding values to make an equation with a $x^4$ into a perfect square

Help factorising this matrix series

Factor $10^6-1$ completely

Solving A Problem Involving Pythagorean Theorem And Polynomials

Prove that gcd$(n^2+1, (n+1)^2+1)$ is either 1 or 5

Factor $x^ 5 - x^4 - x^ 2 - 1$ modulo $16$, and over $\mathbb{Q }$

Regarding algebric manipulation in order to find $a_0^2 - a_1^2 + a_2^2 + ... a_{2n}^2$

Find number of invertible elements in $\mathbb{Z}[i]/(220+55i)\mathbb{Z}[i]$

INMO 1998 question

How does this method work to find prime numbers?

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