List questions from factoring

Published on 13 Apr 2020 - 19:10

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Prove $\sum_{k=1}^{m}\frac{1}{1-e^{2i\pi jk/m}z}=\frac{m}{1-z^{m/\gcd(m,j)}}$

Published on 27 Mar 2026 - 17:40

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Find complex roots of quartic function $(3z + 1)(4z + 1)(6z + 1)(12z + 1) = 2$

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Doubts regarding tricks to factor polynomials

Published on 16 Apr 2020 - 18:17

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How are the factors obtained at this point in the solution of proving $2^{2^n}+ 1 \mid 2^{2^m} -1$

Published on 16 Apr 2020 - 22:41

270

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Find all polynomials such that $f(x)$ divides $f(2x^3+x)$

Published on 17 Apr 2020 - 11:32

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Proving $\frac{a^n}{b^m} \ge \frac{n a^{n-m}-m b^{n-m}}{n-m}$ and $a^n+b^n \ge a^{n-k}b^{k}+a^k b^{n-k}$

Published on 18 Apr 2020 - 11:42

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Finding a multiple of a given number which can be expressed as 1+2+...+x

Published on 29 Mar 2026 - 7:45

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Question of finding the value of x

Published on 18 Apr 2020 - 17:43

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Help finding a characteristic polynomial

Published on 25 Mar 2026 - 14:19

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Is $6 | 2a(3b+3)$ true $\forall a,b \in \Bbb Z$?

Published on 19 Apr 2020 - 9:58

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A series of multiplication leads to $\frac{1}{2} = 2$

Published on 26 Mar 2026 - 22:16

704

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Show that $x^3 + 3x+2$ is irreducible in $\mathbb{Z}[5]$

Published on 30 Mar 2026 - 3:38

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Factoring - Algebra 101

Published on 27 Apr 2020 - 2:39

780

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Breakaway point of Root Locus not as expected

Published on 26 Mar 2026 - 4:52

List Question

Find the real factors of $X^{2n}-1$

Prove $\sum_{k=1}^{m}\frac{1}{1-e^{2i\pi jk/m}z}=\frac{m}{1-z^{m/\gcd(m,j)}}$

Find complex roots of quartic function $(3z + 1)(4z + 1)(6z + 1)(12z + 1) = 2$

Doubts regarding tricks to factor polynomials

How are the factors obtained at this point in the solution of proving $2^{2^n}+ 1 \mid 2^{2^m} -1$

Find all polynomials such that $f(x)$ divides $f(2x^3+x)$

Proving $\frac{a^n}{b^m} \ge \frac{n a^{n-m}-m b^{n-m}}{n-m}$ and $a^n+b^n \ge a^{n-k}b^{k}+a^k b^{n-k}$

Finding a multiple of a given number which can be expressed as 1+2+...+x

Question of finding the value of x

Help finding a characteristic polynomial

Is $6 | 2a(3b+3)$ true $\forall a,b \in \Bbb Z$?

A series of multiplication leads to $\frac{1}{2} = 2$

Show that $x^3 + 3x+2$ is irreducible in $\mathbb{Z}[5]$

Factoring - Algebra 101

Breakaway point of Root Locus not as expected

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