因式分解

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.

AI-generated from the Wikipedia summary — may contain errors.

Wikidata facts

Subclass of: separation
Image: Factorisatie.svg

Show 3 more facts

maintained by WikiProject: WikiProject Mathematics
Stack Exchange tag: stackoverflow.com/tags/factoring
opposite of: polynomial expansion

Sources (5)

via Wikidata · CC0

Article · 中文

因式分解，在这里是指多項式因式分解（英語：Polynomial Factorization），在數學中一般理解為把一個多項式分解為兩個或多個的因式的過程。在這個過後會得出一堆較原式簡單的多項式的積。例如单元多項式可被因式分解為。又如二元多項式因式分解為。如果我们允许多項式系数从整数扩大到，那么可被因式分解為。通常分解获得的每个因式要是不可约多项式（irreducible）。也就是不能再分解了。

Abstract from DBpedia / Wikipedia · CC BY-SA