Definition

Noun: 1. A branch of algebra: Quadratics is the area of mathematics within algebra that specifically studies quadratic equations, their properties, and their solutions. It deals with equations of the form ax² + bx + c = 0, where a, b, and c are constants and a is not zero.

Usage

• Quadratics is treated as a singular noun when referring to the field of study.
• It is used to describe the specific mathematical topic, distinct from other branches like linear algebra or calculus.

Examples

• Noun:
  • In our algebra class, we are now studying quadratics, focusing on factoring and the quadratic formula.
  • Understanding quadratics is essential for solving problems involving parabolic motion in physics.

Advanced Usage

• "The theory of quadratics": Refers to the formal mathematical principles and theorems underlying quadratic equations.
  • The ancient Babylonians had some understanding of the theory of quadratics.

Variants and Related Words

• Quadratic (adjective): Relating to or involving the second and no higher power of an unknown quantity or variable.
  • We solved a quadratic equation.
• Quadratic (noun): A quadratic equation or expression.
  • The student factored the quadratic correctly.
• Quadratic Formula (noun phrase): The standard formula used to find the roots of a quadratic equation.
• Quadratic Function (noun phrase): A function that can be described by a polynomial of degree two.

Synonyms

• Theory of quadratic equations: A more formal synonym for the field of study.

Related Concepts (Not Phrasal Verbs or Idioms)

• Parabola: The U-shaped graph of a quadratic function.
• Vertex: The highest or lowest point on a parabola.
• Discriminant: A component of the quadratic formula that determines the nature of the roots.

Noun

1. a branch of algebra dealing with quadratic equations