Questions tagged [factorization]
Questions on factoring various types of mathematical expressions, with the use of Factor, FactorInteger, FactorSquareFree and related commands.
197 questions
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What is the meaning of the output when the modulus is a polynomial?
The documentation of Modulus suggests that the value of this option should be an explicit number (or Automatic). However,
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- 627
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149
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Factor out specific term
I want to transform expr by factoring out only the E^(-t γ) term. I could implement it like in my code below, but is there a ...
- 1,484
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Factor polynomial with generalized root extension
Here are two examples with ordinary extensions:
Factor[1 + x^4, Extension -> Sqrt[2]]
Factor[x^2 + 2 Sqrt[3] x + 3, Extension -> Automatic]
But what about &...
- 32.8k
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How to factor 8 x^2 - 73 y^2 [duplicate]
Factor[8 x^2 - 73 y^2] returns
8 x^2 - 73 y^2
How do I go about factoring it into
(8^.5 x + 73^.5 y)*(8^.5 x - 73^.5 y)
?
- 2,072
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How to improve polynomial factorization performance [closed]
I was solving a RSA factorization problem with a weak prime. In a given base, the prime was made of a lots of zeroes and can be factorized pretty quickly. See this write-up.
I checked the code for ...
- 382
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Factoring Laurent polynomial - how to distribute powers in denominator to get polynomial Laurent factors
Not sure how to do this with Factor/Collect etc. I'm thinking this might not be straightforward at all.
Given a large Laurent polynomial I am trying to factor it into irreducible Laurent polynomials.
...
- 441
3
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2
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How to divide a known root out of a polynomial?
Consider this simple 5th order polynomial:
pol=x^5+x^4+1
Factor[pol]
(* (1+x+x^2)(1-x+x^3) *)
root=FindInstance[pol==0, x]
(* -1/2 -I/2 Sqrt[3] *)
...
- 381
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How to get the analytical form of a solution to an algebraic equation?
The real analytical solution of the algebraic equation $x^5 + 10 x^3 + 20 x == 4$ is $x=-2^{2/5} + 2^{3/5}$, how to get it with Mathematica?
I've tried with ...
- 433
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133
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How to factorize high-order polynomials that have only complex roots?
I have polynomials like this:
...
- 235
3
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2
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380
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Better Factorization
It seems Mathematica likes to factor some things in less than optimal ways. For example, for the oscillating exponential function (F) below, is there any way to force it to reduce both the number of ...
- 1,197
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How to factorize $x+y$ in this kind of example?
Consider the following simple polynomial in two variables 5 + 2x + 2y. Suppose I want to simplify it to 5+2(x+y). I have no idea ...
- 643
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How to make MMA distinguish between symbolic coefficients and variables when doing factorization? [closed]
I what to factor a polynomial with complicated symbolic coefficients
Factor[p0^2 + k^2 r^2 \[Tau]^2 - 2 k p0 r \[Tau]^2 \[Omega] + p0^2 \[Tau]^2 \[Omega]^2]
In ...
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Factorize into only positive terms, when values are known to be probabilities
I have a large term (a small snippet of which is below as an example) that I am aiming to prove is positive. I know that all the involved values are probabilities and in particular, they lie in (0, 1)....
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2
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144
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How to break a term in its individual factors?
I have some algebraic term that looks like this,
Conjugate[Subscript[u, 1, 1]] Conjugate[Subscript[u, 2, 1]]
\!\(\*SubsuperscriptBox[\(u\), \(1, 1\), \(2\)]\)
$$...
- 11
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How to make FactorInteger iterative?
I want to factorize big numbers like 10^100. FactorInteger with no Automatic option can take a lot of time and as I know there ...
