Solving+quadratics+by+factoring+notes

Solving Quadratics by Factoring

The method of finding the roots of a quadratic equation by expressing it as a product of linear factors.

Solution Set

The collection of all possible solutions to an equation.

Zero Product Property

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

Difference of Squares

A quadratic expression that can be factored as (a+b)(a-b), where a and b are terms.

Factored Form

A way to express polynomial equations as a product of factors, such as (x - r)(x - s) = 0.

Roots of an Equation

The values of x that satisfy the equation, where the graph intersects the x-axis.

Double Root

A solution to an equation where the factor is repeated, resulting in one distinct root.

Monic Quadratic

A quadratic equation where the coefficient of the x^2 term is 1.

Leading Coefficient

The coefficient of the term with the highest degree in a polynomial.

Quadratic Formula

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