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FactorTermsList[poly]

gives a list in which the first element is the overall numerical factor in poly, and the second element is the polynomial with the overall factor removed.

FactorTermsList[poly,{x1,x2,…}]

gives a list of factors of poly. The first element in the list is the overall numerical factor. The second element is a factor that does not depend on any of the xi. Subsequent elements are factors which depend on progressively more of the xi.

Details and Options
Details and Options Details and Options
Examples  
Basic Examples  
Scope  
Basic Uses  
Advanced Uses  
Options  
Modulus  
Trig  
Applications  
Properties & Relations  
See Also
Tech Notes
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FactorTermsList

FactorTermsList[poly]

gives a list in which the first element is the overall numerical factor in poly, and the second element is the polynomial with the overall factor removed.

FactorTermsList[poly,{x1,x2,…}]

gives a list of factors of poly. The first element in the list is the overall numerical factor. The second element is a factor that does not depend on any of the xi. Subsequent elements are factors which depend on progressively more of the xi.

Details and Options

  • FactorTermsList takes the following options:
  • Modulus 0modulus to assume for integers
    Trig Falsewhether to do trigonometric as well as algebraic transformations

Examples

open all close all

Basic Examples  (2)

Pull out an overall numerical factor, but do no further factoring:

Wolfram Language code: FactorTermsList[2x ^ 2 - 2]

Pull out factors that do not depend on :

Wolfram Language code: FactorTermsList[3 + 3a + 6a x + 6x + 12a x ^ 2 + 12x ^ 2, x]

Scope  (8)

Basic Uses  (5)

A univariate polynomial:

Wolfram Language code: FactorTermsList[8x ^ 3 - 6x ^ 2 + 22x - 6]

A multivariate polynomial:

Wolfram Language code: FactorTermsList[6a ^ 2 + 9x ^ 2 + 12b ^ 2]

A rational function:

Wolfram Language code: FactorTermsList[7 x + (14y + 21) / z]

A polynomial with complex coefficients:

Wolfram Language code: FactorTermsList[5I x ^ 2 + 20x I + 10]

A non-polynomial expression:

Wolfram Language code: FactorTermsList[15Sin[x] ^ 2 + 100Log[x]f[x] + 50E ^ x]

Advanced Uses  (3)

List the overall numerical factor, and then factors that do not depend on :

Wolfram Language code: FactorTermsList[-6 y - 6 a y + 2 x^2 y + 2 a x^2 y + 4 a y^2 + 4 a^2 y^2, x]

List the overall numerical factor, then factors that do not depend on and , and then factors that do not depend on :

Wolfram Language code: FactorTermsList[-6 y - 6 a y + 2 x^2 y + 2 a x^2 y + 4 a y^2 + 4 a^2 y^2, {x, y}]

Pull out overall numerical factor over the integers modulo 3:

Wolfram Language code: FactorTermsList[8x ^ 2 + 5, Modulus -> 3]

Options  (2)

Modulus  (1)

Pull out overall numerical factor over integers modulo 7:

Wolfram Language code: FactorTermsList[3x + 10, Modulus -> 7]

Trig  (1)

Pull out overall numerical factor after applying trigonometric transformations:

Wolfram Language code: FactorTermsList[4Sin[x]Cos[x] + 4Cos[x] ^ 2 - 4Sin[x] ^ 2, Trig -> True]

Applications  (1)

Define a large polynomial:

Wolfram Language code: f = 2 x ^ 2 y z + 2 x ^ 2 y + 4 x ^ 2z + 4 x ^ 2 + 4 y ^ 2z ^ 2 + 4 z y ^ 2 + 8 z ^ 2 y + 2 z y - 6 y - 12 z - 12;

Pull out an overall numerical factor:

Wolfram Language code: FactorTermsList[f]

Pull out factors that do not depend on :

Wolfram Language code: FactorTermsList[f, x]

Pull out factors that do not depend on and and then factors that do not depend on :

Wolfram Language code: FactorTermsList[f, {x, y}]

Properties & Relations  (2)

FactorTermsList gives a list of factors:

Wolfram Language code: FactorTermsList[14x + 21y + 35x y + 63]

This multiplies the factors together:

Wolfram Language code: Times@@%

FactorTerms gives a product of factors:

Wolfram Language code: FactorTerms[14x + 21y + 35x y + 63]

Expand combines the factors back together:

Wolfram Language code: Expand[%]

FactorList gives a list of all irreducible factors:

Wolfram Language code: FactorTermsList[4x ^ 3 - 4]
Wolfram Language code: FactorList[4x ^ 3 - 4]
Wolfram Research (1988), FactorTermsList, Wolfram Language function, https://reference.wolfram.com/language/ref/FactorTermsList.html.

Text

Wolfram Research (1988), FactorTermsList, Wolfram Language function, https://reference.wolfram.com/language/ref/FactorTermsList.html.

CMS

Wolfram Language. 1988. "FactorTermsList." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/FactorTermsList.html.

APA

Wolfram Language. (1988). FactorTermsList. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/FactorTermsList.html

BibTeX

@misc{reference.wolfram_2026_factortermslist, author="Wolfram Research", title="{FactorTermsList}", year="1988", howpublished="\url{https://reference.wolfram.com/language/ref/FactorTermsList.html}", note=[Accessed: 12-June-2026]}

BibLaTeX

@online{reference.wolfram_2026_factortermslist, organization={Wolfram Research}, title={FactorTermsList}, year={1988}, url={https://reference.wolfram.com/language/ref/FactorTermsList.html}, note=[Accessed: 12-June-2026]}