factorization

Also known as factorisation, factoring, isolation

thumb|right|The polynomial x2 + cx + d, where a + b = c and ab = d, can be factorized into (x + a)(x + b).

AI overview

Factorization is the process of breaking down a mathematical expression (like a polynomial) into simpler pieces that multiply together to give the original expression. For example, a polynomial like x² + cx + d can be factorized into two simpler factors like (x + a)(x + b), which makes it easier to solve equations and understand the expression's properties.

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Stack Exchange tag: stackoverflow.com/tags/factoring

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~32 min read

Article

24 sections

Contents

Integers
Example
Expressions
History of factorization of expressions
General methods
Common factor
Grouping
Adding and subtracting terms
Recognizable patterns
Roots of unity
Polynomials
Primitive-part & content factorization
Using the factor theorem
Rational roots
Quadratic ac method
Using formulas for polynomial roots
Using relations between roots
Unique factorization domains
Ideals
Matrices
See also
Notes
References
External links

thumb|right|The polynomial x2 + cx + d, where a + b = c and ab = d, can be factorized into (x + a)(x + b).

In mathematics, factorization (or factorisation, see English spelling differences) or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind. For example, is an integer factorization of , and is a polynomial factorization of .