Quadratic Equations

This set of flashcards covers key concepts and vocabulary from Chapter 4 on Quadratic Equations, including solving methods, formulas, and definitions.

Factoring Form

A method of solving quadratic equations by expressing them in the form ax² + bx + c = 0 and finding two numbers whose product is ac and sum is b.

Zero Product Property

If the product of two numbers is zero, at least one of the numbers must be zero.

Quadratic Formula

A formula used to find the roots of a quadratic equation, given by x = (-b ± √(b² - 4ac)) / (2a).

Standard Form

The form of a quadratic equation expressed as ax² + bx + c = 0, where a, b, and c are constants.

Decomposition Form

A method for solving quadratic equations by breaking down the expression into a product of factors.

Composite Atom

A term used in the decomposition method to describe an expression before applying factorization.

Rational Solutions

Solutions of a quadratic equation that can be expressed as a fraction or integer.

Repeated Solutions

When a quadratic equation results in one solution that occurs more than once, also known as a solution with multiplicity.

Imaginary Numbers

Numbers that can be written as a real number multiplied by the imaginary unit i, representing the square root of -1.

Completing the Square

A method for solving quadratic equations by converting the equation into a perfect square trinomial.