Algebra: Quadratics

• Greatest Common Factors

• Factoring Difference of Squares

• More Factoring with Difference of Squares

• Factoring with Perfect Squares

• Factoring with Four Terms

• Factoring Quadratic Trinomials

• Factoring By Splitting the Middle Term 1

• Factoring By Splitting the Middle Term 2

• Factoring Review

• Factoring and Expansion Review

Solving Quadratic Expressions

• Solving Basic Quadratic Equations

• Using the Null Factor Law to Solve Quadratic Equations

• Solving Quadratic Equations by Factoring

• More Practice with Solutions by Factorization

• Illegal Canceling

• Solving Quadratic Equations by Splitting the Middle Term

• Solving Quadratic Equations by Completing the Square Part 1

• Solving Quadratic Equations by Completing the Square Part 2

• Completing the Square When b/2 is a fraction

• Quadratic Formula

• The Discriminant

• Problem Solving

• Solving Quadratics Review Level 1

• Solving Quadratics Review Level 2

Quadratic Functions and Graphing

• Introduction to Quadratic Functions Level 1

• Quadratic Functions Intro Level 2

• Quadratic Functions and Parabolas

• Graphs of Quadratic Functions

• Finding x and y with a Quadratic Function

• Using Desmos to Create Graphs of Quadratic Functions

• Vertex Form Explained

• What does The "a" Term Do?

• Convert to Vertex Form by Completing the Square Level 1

• Convert to Vertex Form by Completing the Square Level 2

• Axes Intercepts Explained

• Finding Intercepts By Solving

• Sketching Parabolas

• Sketching Quadratics from Intercepts

• The Axis of Symmetry

• Quadratic Optimization Problems I

• Quadratic Optimization Problems II

• Review Level 1

• Review Level 2

Factoring Quadratic Expressions

A complete set of lessons on factoring, solving, and graphing quadratic expressions and functions, with clear explanations and step-by-step methods for every major skill.

Learn how to break quadratic expressions into products using common factors, special patterns, and trinomial methods — the foundation for solving quadratic equations.

Practice multiple ways to solve quadratics, including factoring, the null factor law, completing the square, and the quadratic formula, with common mistakes and special cases explained.

Explore how quadratic functions behave, how to graph them, how to find intercepts and vertices, and how the parameters affect the shape. Learn vertex form, symmetry, optimization, and real-world applications.