Factored: meaning, definitions and examples
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factored
[ ˈfæktərd ]
mathematics term
In mathematics, 'factored' refers to the process of breaking down an expression into a product of its factors. This means expressing a number or an algebraic expression in terms of its constituent factors, which when multiplied together give the original expression. Factoring is essential for simplifying expressions, solving equations, and finding roots. It can involve techniques such as factoring by grouping, using the difference of squares, or applying the quadratic formula.
Synonyms
broken down, decomposed, disassembled.
Examples of usage
- The equation was factored to find its roots.
- She factored the polynomial to simplify it.
- Factored forms are often easier to work with in algebra.
Translations
Translations of the word "factored" in other languages:
🇵🇹 fatorado
🇮🇳 कारकित
🇩🇪 faktorisierte
🇮🇩 difaktorkan
🇺🇦 факторизований
🇵🇱 sfaktoryzowany
🇯🇵 因数分解された
🇫🇷 factorisé
🇪🇸 factorizado
🇹🇷 faktörleştirilmiş
🇰🇷 인수분해된
🇸🇦 مُعَامَل
🇨🇿 faktorizovaný
🇸🇰 faktorovaný
🇨🇳 因式分解的
🇸🇮 faktoriran
🇮🇸 faktoríserað
🇰🇿 факторланған
🇬🇪 ფაქტორიზებული
🇦🇿 faktorlaşdırılmış
🇲🇽 factorizado
Etymology
The term 'factored' is derived from the word 'factor,' which comes from the Latin 'facere,' meaning 'to make or do.' This etymology reflects the idea of creating or producing components of a whole. In mathematical context, 'factoring' began to emerge in the 16th century as algebra developed. Early mathematicians sought to solve polynomial equations and needed a method to simplify complex expressions. The practice became more formalized in the 17th and 18th centuries as algebraic methods matured. Today, factoring remains a fundamental concept in mathematics, crucial for simplifying operations and understanding algebraic structures.