---
title: Quadratic Equations
description: Quadratic equations are second-degree polynomial equations in a single variable. Learners will understand how to solve these equations using factoring, completing the square, and the quadratic formula, as well as how to graph and analyze parabolas.
category: mathematics
subcategory: algebra
difficulty: beginner, intermediate, advanced
url: /subject/quadratic-equations
---

# Quadratic Equations

Quadratic equations are second-degree polynomial equations in a single variable. Learners will understand how to solve these equations using factoring, completing the square, and the quadratic formula, as well as how to graph and analyze parabolas.

## Available Resources

1 Books • 3 Courses • 1 Websites

## Courses

### 1. Introduction to Algebra

Master quadratic equations with this AoPS course! Learn key concepts and problem-solving strategies from expert faculty.

**Difficulty:** Beginner | **Price:** Paid

**Link:** https://artofproblemsolving.com/school/course/mai

**Tags:** algebra, problem-solving, competition-math, linear-equations, quadratic-equations

### 2. Algebra: Quadratic Equations

Master quadratic equations! Learn to solve and graph them with this comprehensive course from Sal Khan.

**Difficulty:** Beginner | **Price:** Free

**Link:** https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations

**Tags:** quadratic-equations, quadratic-functions, factoring, quadratic-formula, parabolas

### 3. Algebra: Elementary to Advanced - Polynomials and Roots

**Author:** Joseph W. Cutrone

Third course in Johns Hopkins's algebra sequence, covering exponential functions, polynomial arithmetic and factoring, square and nth roots, and percent and interest applications. Finishes with a cumulative exam, preparing you for precalculus, statistics or data science coursework.

**Difficulty:** Beginner | **Language:** English | **Price:** Free

**Link:** https://www.coursera.org/learn/polynomials-roots

**Tags:** polynomials, factoring, exponents, radicals, algebra

## Books

### 1. Algebra: Structure and Method

**Author:** Mary P. Dolciani, William Wooton, Robert H. Sorgenfrey, et al.

Classic Houghton Mifflin first-year algebra textbook by Dolciani and colleagues, built on careful definitions and properties of the real numbers. Covers linear equations, polynomials, factoring, and solving quadratics by factoring, completing the square, and the quadratic formula, with extensive graded exercise sets.

**Difficulty:** Intermediate | **Language:** English | **Price:** Paid

**Link:** https://www.amazon.com/dp/0395266378?tag=edmonddante07-20

**Tags:** books, mathematics-statistics, algebra

## Websites

### 1. mathsisfun.com

MathIsFun.com is a beginner-friendly math site that explains concepts with clear, step-by-step lessons and interactive activities. It covers topics from algebra and linear equations to geometry, fractions, data, and more, with practice problems, worksheets, and quizzes.

**Difficulty:** Intermediate | **Language:** English | **Price:** Free

**Link:** https://mathsisfun.com

**Tags:** websites, mathematics-statistics, algebra

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