List questions from factoring

Published on 17 Jun 2016 - 0:32

38

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Prove that $q(x)$ does not divide $p_k(x)$

Published on 02 Apr 2026 - 1:22

30

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Prove that $a(x)$ divides $(v(x) - t(x))$

Published on 02 Apr 2026 - 1:23

53

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Is it easy to factor if we know $k\phi(PQ)$?

Published on 19 Jun 2016 - 21:56

66

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Factoring $p(x) = x^n -1$ for any natural number $n$

Published on 20 Jun 2016 - 22:07

45

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What is the algorithm to factor something like $2+\frac{1}{x}+x?$

Published on 21 Jun 2016 - 19:57

50

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On equivalence of RSA and factoring

Published on 25 Jun 2016 - 14:14

122

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Why is the running time of the trial division $O(f \cdot (log N)^2)$?

Published on 05 Apr 2026 - 19:38

53

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Factoring polynomials when roots are external to the ring

Published on 23 Feb 2026 - 13:01

2.4k

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$f(x+a)$ irreducibility means $f(x)$ irreducibility

Published on 07 Apr 2026 - 11:02

51

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Factoring GCF from squared quantities

Published on 26 Jun 2016 - 23:26

1.9k

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Why is $-32^{\frac{1}{5}} = 2$

Published on 28 Jun 2016 - 14:29

18.8k

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Factorize a third degree polynomial

Published on 03 Apr 2026 - 4:15

909

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Factoring $x^5+B x^4+C x^3+D x^2+E x+F=(x^2+a x+b)(x^3+p x+q)$ over $\mathbb{Q}$

Published on 07 Apr 2026 - 11:03

2k

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Definition of irreducible polynomial via the units of an integral domain.

Published on 07 Apr 2026 - 11:03

List Question

Factoring the sequence ${10}^{2n}+10^{n}+1$

Prove that $q(x)$ does not divide $p_k(x)$

Prove that $a(x)$ divides $(v(x) - t(x))$

Is it easy to factor if we know $k\phi(PQ)$?

Factoring $p(x) = x^n -1$ for any natural number $n$

What is the algorithm to factor something like $2+\frac{1}{x}+x?$

On equivalence of RSA and factoring

Why is the running time of the trial division $O(f \cdot (log N)^2)$?

Factoring polynomials when roots are external to the ring

$f(x+a)$ irreducibility means $f(x)$ irreducibility

Factoring GCF from squared quantities

Why is $-32^{\frac{1}{5}} = 2$

Factorize a third degree polynomial

Factoring $x^5+B x^4+C x^3+D x^2+E x+F=(x^2+a x+b)(x^3+p x+q)$ over $\mathbb{Q}$

Definition of irreducible polynomial via the units of an integral domain.

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