Willow Tree
Solving Quadratic Equations
Polynomials are full of solutions! Learners understand that the degree determines the number of solutions. Examples show quadratic equations solved by factoring and by using the quadratic formula. A cubic equation is even mixed in for...
El Paso Community College
Quadratic Equations
This resource has everything you need to know about solving quadratic equations. Factoring, completing the square, the quadratic formula, and using the discriminant are all there with with worked out examples and a 25 problem...
Virginia Department of Education
Quadratic Equations
Review the multiple methods of solving quadratic equations through an analysis of the discriminant. Scholars use the discriminant to determine the best solution method and then solve various equations. As a challenge, learners build...
Cabrillo College
Elementary Algebra
Hello Algebra! If you're in need of a resource with a books worth of examples and practice problems, this is it. Some topics include linear equations, polynomials and exponents, rational expressions, quadratic equations, and a...
West Contra Costa Unified School District
Polynomial Division
Multiply the ways your scholars can find the quotient with polynomial division. A lesson introduces polynomial division via long division, synthetic division, generic area model, and using the definition of division. Learners then...
CK-12 Foundation
Ck 12: Algebra: Solving Quadratic Equations Study Guide
This comprehensive study guide highlights the main terms and formulas needed to review solving quadratic equations. Examples are included.
Math Is Fun
Math Is Fun: Derivation of Quadratic Formula
The learning resource investigates the quadratic formula. Students learn how the formula is derived by completing the square and solving for x.
Paul Dawkins
Paul's Online Notes: Algebra: Quadratic Equations Part Ii
Detailed math tutorial features notes and examples that illustrate how to solve quadratic equations using complete the square then use that to derive the quadratic formula.
University of St. Andrews (UK)
University of St. Andrews: Quadratic Equations History
This site from the University of St. Andrews provides an extensive history of quadratic, cubic, and quartic equations including various historical figures and their contributions to modern methods of solving quadratics.
Purple Math
Purplemath: Solving Quadratic Equations by Factoring
Demonstrates how to solve quadratics using factoring (that is/the Zero-Product Property). Provides worked examples/and warnings about common mistakes.
Math Is Fun
Math Is Fun: Real World Examples of Quadratic Equations
Provides examples of how quadratic equations can be used in real-world scenarios, and the different methods used to solve them.
Paul Dawkins
Paul's Online Notes: Algebra: Applications of Quadratic Equations
Detailed math tutorial features notes and examples that review applications involving solving a quadratic equation including distance/rate problems and work rate problems.
Other
Sierra College: Elementary Algebra Review Sheet and Common Formulas
This review sheet includes important rules, properties, formulas, and equations needed to solve many Algebra problems.
CK-12 Foundation
Ck 12: Algebra: Graphing Quadratic Equations Study Guide
This comprehensive study guide highlights the main terms and formulas needed to review graphing quadratic equations. Examples are included.
Purple Math
Purplemath: Solving Polynomials: How To
Demonstrates the steps involved in solving a general polynomial, including how to use the Rational Roots Test and synthetic division. Points out when using a graphing calculator can be very helpful.
Windstream
Ojk's Precalculus Study Page: Solving Polynomial Equations
A comprehensive look at the three main ways to find the roots of a polynomial: factoring, formulas, and the rational root theorem.
Windstream
Ojk's Precalculus Study Page: More Difficult Trig Equations
An introduction to solving trigonometric equations by using the reciprocal, negative, Pythagorean, and cofunction identities. Includes several examples and exercises with solutions at the bottom of the page.
Purple Math
Purplemath: Factoring Polynomials: How To
Demonstrates the steps involved in factoring a general polynomial, including using the Rational Roots Test and synthetic division. Shows how to "cheat" with a graphing calculator.