quadratic

[kwäˈdra(t)ik]

quadratic Definition

• 1. relating to or containing the second and no higher power of an unknown quantity or variable
• 2. a polynomial expression of the second degree

Using quadratic: Examples

Take a moment to familiarize yourself with how "quadratic" can be used in various situations through the following examples!

• Example

  The quadratic equation is used to solve for the roots of a second-degree polynomial.

• Example

  The graph of a quadratic function is a parabola.

• Example

  The formula for the area of a square is a quadratic expression.

quadratic Synonyms and Antonyms

Synonyms for quadratic

• squared
• second-degree

Phrases with quadratic

• quadratic formula

  a formula that provides the solutions to a quadratic equation

  Example

  To solve for x in the quadratic equation ax^2 + bx + c = 0, one can use the quadratic formula: x = (-b ± sqrt(b^2 - 4ac)) / 2a.

• quadratic function

  a function of the form f(x) = ax^2 + bx + c, where a, b, and c are constants

  Example

  The height of a ball thrown into the air can be modeled by a quadratic function.

• quadratic expression

  an algebraic expression of the form ax^2 + bx + c, where a, b, and c are constants

  Example

  The area of a rectangle can be expressed as a quadratic expression.

Origins of quadratic

from Latin 'quadratus', meaning 'square'

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Summary: quadratic in Brief

The term 'quadratic' [kwäˈdra(t)ik] refers to mathematical expressions and functions that involve the second power of an unknown variable. It is commonly used in algebra and calculus, with examples such as the quadratic formula and quadratic functions. 'Quadratic' can also describe a polynomial expression of the second degree, such as the area of a square.