nhân tử
Definition
- Noun (Mathematics):
- Factor: A number or algebraic expression that divides another number or expression exactly, without leaving a remainder. In the context of polynomials, it is an expression that is multiplied by another to produce a given polynomial.
Usage Examples
- Noun:
- Trong biểu thức 6 = 2 x 3, số 2 và 3 là các nhân tử. (In the expression 6 = 2 x 3, the numbers 2 and 3 are factors.)
- Chúng ta cần tìm nhân tử chung của đa thức này. (We need to find the common factor of this polynomial.)
- Phân tích đa thức thành nhân tử là một kỹ năng quan trọng. (Factoring a polynomial into its factors is an important skill.)
Advanced Usage
"nhân tử hóa" or "phân tích thành nhân tử": to factorize.
- Bài toán yêu cầu chúng ta nhân tử hóa phương trình bậc hai. (The problem requires us to factorize the quadratic equation.)
"nhân tử chung": common factor.
- Nhân tử chung lớn nhất giúp rút gọn phân số. (The greatest common factor helps simplify fractions.)
Variants and Related Words
- Thừa số (n): This is a more general term for "factor," often used in arithmetic multiplication (e.g., in 4 x 5 = 20, 4 and 5 are ). is more specific to division and algebra.
- Ước số (n): divisor. While related, this refers specifically to a number that divides another integer exactly.
Synonyms
- Factor: (Mathematics) A number or expression that divides another.
- Divisor: A number that divides into another without a remainder (a closely related concept).
Notes on Usage
- The word "nhân tử" is used almost exclusively in mathematical contexts. It does not carry other common meanings of the root word (e.g., person, kernel, to multiply) in this specific compound form.
- In everyday language, the concept is often described using the verb phrase "phân tích thành nhân tử" (to factorize).