second-degree polynomial

[/ˈsɛkənd dɪˈɡriː pɑːˈlɪnoʊmiəl/]
nounpl: second-degree polynomials
polinômio de segundo grau
1. A polynomial expression of degree 2, with the general form ax² + bx + c, where a ≠ 0
The equation y = 2x² + 3x + 1 is a second-degree polynomial.
A equação y = 2x² + 3x + 1 é um polinômio de segundo grau.
2. A mathematical function whose highest power of the variable is 2
The graph of a second-degree polynomial is a parabola.
O gráfico de um polinômio de segundo grau é uma parábola.
3. In algebra, an expression containing terms where the maximum exponent is 2
To solve a second-degree polynomial equation, we can use the quadratic formula.
Para resolver uma equação de polinômio de segundo grau, podemos usar a fórmula de Bhaskara.
This is a fundamental concept in mathematics education taught in high school algebra courses in both the USA and Brazil. In Brazilian schools, it's typically introduced in the 9th or 10th grade (8º or 9º ano) and is essential for the national exam (ENEM). The quadratic formula is sometimes called 'fórmula de Bhaskara' in Brazil, named after the Indian mathematician Bhaskara II, which is a distinctive nomenclature not commonly used in English-speaking countries.
Synonyms / Sinônimos
quadratic polynomialquadratic equationquadratic functiontrinomial (when in standard form)
Antonyms / Antônimos
first-degree polynomiallinear polynomialthird-degree polynomialcubic polynomial

Regional Variations

General Brazilian
polinômio de segundo grau
standard term used in mathematics education and academic contexts
General Brazilian
polinômio quadrático
alternative technical term, less common in basic education
Portugal
polinómio de segundo grau
uses European Portuguese spelling with accent mark
Portugal
polinómio quadrático
alternative term used in Portuguese mathematics

Related Words

polynomialquadratic formulaparaboladiscriminantrootsvertexcoefficient

Related Idioms & Phrases

solve a second-degree polynomial
expand a second-degree polynomial
factor a second-degree polynomial
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