Polynomial: meaning, definitions and examples
๐
polynomial
[ หpษlษชหnoสmiษl ]
mathematics
A polynomial is a mathematical expression consisting of variables, coefficients, and operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Common examples include expressions like x^2 + 2x + 1, which can be graphed as parabolas. Polynomials can be classified based on their degree, which is the highest exponent of the variable.
Synonyms
Examples of usage
- The polynomial x^3 - 4x^2 + 6x - 2 has a degree of 3.
- To find the roots of a polynomial, we can use factoring or the quadratic formula.
- Polynomials are essential for polynomial regression in statistics.
Translations
Translations of the word "polynomial" in other languages:
๐ต๐น polinรดmio
๐ฎ๐ณ เคฌเคนเฅเคชเคฆ
๐ฉ๐ช Polynom
๐ฎ๐ฉ polinomial
๐บ๐ฆ ะผะฝะพะณะพัะปะตะฝ
๐ต๐ฑ wielomian
๐ฏ๐ต ๅค้ ๅผ
๐ซ๐ท polynรดme
๐ช๐ธ polinomio
๐น๐ท polinom
๐ฐ๐ท ๋คํญ์
๐ธ๐ฆ ุญุฏ ู ุชุนุฏุฏ
๐จ๐ฟ polynom
๐ธ๐ฐ polynรณm
๐จ๐ณ ๅค้กนๅผ
๐ธ๐ฎ polinom
๐ฎ๐ธ margl
๐ฐ๐ฟ ะบำฉะฟะผาฏัะตะปัะบ
๐ฌ๐ช แแฃแแแแ แแแ
๐ฆ๐ฟ polinom
๐ฒ๐ฝ polinomio
Etymology
The term 'polynomial' comes from the Greek word 'poly', meaning 'many', and 'nomial', which is derived from the Latin 'nomen', meaning 'term' or 'name'. The concept of polynomials has its roots in ancient mathematics, where mathematicians such as Euclid investigated geometric relationships that could be represented algebraically. Over time, the modern notation and formalism for polynomials developed further through the works of mathematicians in the Renaissance and beyond, providing a systematic way to express and solve problems. By the 18th century, the study of polynomials was well established, and they became central to various areas of mathematics, including algebra, calculus, and numerical analysis.