### 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

quadratic, quadratic polynomialnoun

a polynomial of the second degree

### Wikipedia

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

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

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.

### Matched Categories

### Numerology

Chaldean Numerology

The numerical value of quadratic polynomial in Chaldean Numerology is:

**9**Pythagorean Numerology

The numerical value of quadratic polynomial in Pythagorean Numerology is:

**1**

## Translations for **quadratic polynomial**

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"quadratic polynomial." *Definitions.net.* STANDS4 LLC, 2024. Web. 3 Oct. 2024. <https://www.definitions.net/definition/quadratic+polynomial>.

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