Quadratic Equations Lecture Notes

Vocabulary flashcards generated from the lecture notes on Classroom Rules and Quadratic Equations, covering definitions and methods for solving.

Linear Equation

An equation where the highest exponent of any variable is 1, and variables are not multiplied together.

Quadratic Equation

A second-degree equation, with the highest exponent of 2.

General Form of Quadratic Equation

ax^2 + bx + c = 0, where 'a' is not equal to 0, and 'a', 'b', and 'c' are real numbers.

Quadratic Term

The term in a quadratic equation containing the variable raised to the power of 2 (ax^2).

Linear Term

The term in a quadratic equation containing the variable raised to the power of 1 (bx).

Constant Term

The term in a quadratic equation that does not contain a variable (c).

Solutions or Roots

The value(s) of the variable 'x' that satisfy a quadratic equation.

Extracting the Square Roots (method)

A method for solving quadratic equations that can be expressed in the form ax^2 = c or (x-h)^2 = c by isolating the squared term and taking the square root of both sides.

Completing the Square (method)

A method for solving quadratic equations by adding an expression to both sides of the equation to transform one side into a perfect square trinomial.

Perfect Square Trinomial

An algebraic expression with three terms that can be factored into the square of a binomial, such as (a )2= a2  2ab + b2.