What does quadratic polynomial mean?

Definitions for quadratic polynomial
qua·drat·ic po·ly·no·mi·al

This dictionary definitions page includes all the possible meanings, example usage and translations of the word quadratic polynomial.

Princeton's WordNet

  1. quadratic, quadratic polynomialnoun

    a polynomial of the second degree

Wikipedia

  1. quadratic polynomial

    In mathematics, a quadratic polynomial is a polynomial of degree two in one or more variables. A quadratic function is the polynomial function defined by a quadratic polynomial. Before 20th century, the distinction was unclear between a polynomial and its associated polynomial function; so "quadratic polynomial" and "quadratic function" were almost synonymous. This is still the case in many elementary courses, where both terms are often abbreviated as "quadratic". For example, a univariate (single-variable) quadratic function has the form f ( x ) = a x 2 + b x + c , a ≠ 0 , {\displaystyle f(x)=ax^{2}+bx+c,\quad a\neq 0,} where x is its variable. The graph of a univariate quadratic function is a parabola, a curve that has an axis of symmetry parallel to the y-axis. If a quadratic function is equated with zero, then the result is a quadratic equation. The solutions of a quadratic equation are the zeros of the corresponding quadratic function. The bivariate case in terms of variables x and y has the form f ( x , y ) = a x 2 + b x y + c y 2 + d x + e y + f , {\displaystyle f(x,y)=ax^{2}+bxy+cy^{2}+dx+ey+f,} with at least one of a, b, c not equal to zero. The zeros of this quadratic function is, in general (that is, if a certain expression of the coefficients is not equal to zero), a conic section (a circle or other ellipse, a parabola, or a hyperbola).

ChatGPT

  1. quadratic polynomial

    A quadratic polynomial is a polynomial of the second degree, which can be represented by the general formula ax^2+bx+c where a, b, and c are constants, a ≠ 0, and x is a variable. It produces a graph in the shape of a parabola when plotted on a graph.

Wikidata

  1. Quadratic polynomial

    In mathematics, a quadratic polynomial or quadratic is a polynomial of degree two, also called second-order polynomial. That means the exponents of the polynomial's variables are no larger than 2. For example, is a quadratic polynomial, while is not.

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Numerology

  1. Chaldean Numerology

    The numerical value of quadratic polynomial in Chaldean Numerology is: 9

  2. Pythagorean Numerology

    The numerical value of quadratic polynomial in Pythagorean Numerology is: 1


Translations for quadratic polynomial

From our Multilingual Translation Dictionary

  • متعدد الحدود التربيعيArabic
  • द्विघात बहुपदHindi
  • 2 차 다항식Korean
  • kwadratisch polynoomDutch
  • kvadratisk polynomNorwegian
  • இருபடி பல்லுறுப்புக்கோவைTamil
  • چوکور کثیرالقاعیUrdu
  • 二次多项式Chinese

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"quadratic polynomial." Definitions.net. STANDS4 LLC, 2024. Web. 29 Mar. 2024. <https://www.definitions.net/definition/quadratic+polynomial>.

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