Meaning of "factorize" in English

To "factorize" in English means to break down an equation or expression into its simplest components, known as factors, that when multiplied together yield the original expression. This process is often used in algebra to simplify expressions or solve equations. Factorization helps in understanding the structure of mathematical expressions and is a useful skill in problem-solving and mathematical reasoning. For instance, factorizing the quadratic expression ( x^2 + 5x + 6 ) into ((x + 2)(x + 3)) makes solutions to equations involving it more apparent.

Meaning of "factoriser" in French

In French, "factoriser" refers to the process of decomposing an algebraic expression into a product of simpler expressions, known as factors. This mathematical method is integral to algebra, aiding in the simplification and solution of equations. The objective is to identify the basic building blocks that constitute a given expression. For example, factorizing the polynomial expression ( x^2 + 3x + 2 ) can reveal its factors as ( (x + 1)(x + 2) ), thereby simplifying computation and understanding.

Pronunciation of "factorize" in English

Phonetic Transcription: /ˈfæk.tə.raɪz/

Pronunciation Variations: In different English-speaking regions, the accent may influence how "factorize" is pronounced. In American English, it is typically pronounced with a clear enunciation of each syllable. In British English, there might be a subtle variation, often less stress on the middle syllable, but overall, the pronunciation remains largely consistent across regions.

Pronunciation of "factoriser" in French

Phonetic Transcription: /fak.tɔ.ʁize/

Pronunciation Variations: In France, the word "factoriser" is pronounced with a clear emphasis on the last syllable, typical of French phonetic patterns. Regional accents might slightly alter the intonation. In Francophone regions beyond France, such as Canada, the pronunciation might slightly shift with local accents, but the essential pronunciation remains standard.

Sentence examples in English and translation to French

  1. Factorize the quadratic equation to find its roots. (Factorisez l'équation quadratique pour trouver ses racines.)
  2. It is easier to handle numbers when you factorize them. (Il est plus facile de manipuler les nombres quand vous les factorisez.)
  3. Can you factorize this polynomial for me? (Pouvez-vous factoriser ce polynôme pour moi ?)
  4. The first step in solving the problem was to factorize the expression. (La première étape pour résoudre le problème était de factoriser l'expression.)
  5. I learned how to factorize algebraic expressions in school. (J'ai appris à factoriser les expressions algébriques à l'école.)
  6. If you factorize this formula, the solution becomes clear. (Si vous factorisez cette formule, la solution devient claire.)
  7. Students need to practice how to factorize efficiently. (Les étudiants doivent s'entraîner à factoriser efficacement.)
  8. Factorizing can simplify complex calculations. (La factorisation peut simplifier les calculs complexes.)
  9. We were asked to factorize several equations for homework. (On nous a demandé de factoriser plusieurs équations pour les devoirs.)
  10. Understanding how to factorize will help you in advanced mathematics. (Comprendre comment factoriser vous aidera en mathématiques avancées.)

Synonyms, antonyms, and similar words for "factorize" in English

Synonyms: break down, decompose, resolve, simplify.

Antonyms: -

Similar Words: reduce, divide, separate, unfactor.

Synonyms, antonyms, and similar words for "factoriser" in French

Synonyms: décomposer, simplifier, résoudre.

Antonyms: -

Similar Words: réduire, scinder, séparer.

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