Lesson Plan
EngageNY

Solutions to Polynomial Equations

For Teachers 11th - 12th Standards
Take a step back to Algebra II. The first lesson in a series of 23 asks scholars to remember working with quadratic equations with complex solutions. Pupils apply polynomial identities to complex numbers and work examples that show how...
Worksheet
Curated OER

Solving Polynomial Equations

For Students 8th - 11th Standards
This worksheet and tutorial explores solving more complex polynomials by graphing each side separately and finding the point of intersection, identifying the sum and differences of cubes, and solving higher degree polynomials by using...
Worksheet
Curated OER

Math 312 Fall 2001 - Complex Polynomial Equation

For Students Higher Ed
In this complex polynomial equation activity, students find all solutions of an equation and write answers in rectangular form and exponential form. This two-page activity contains three problems.
Lesson Plan
EngageNY

Solving Radical Equations

For Students 10th - 12th Standards
Learners solve complex radical equations. Solutions vary from one, two, and none, allowing pupils to gain experience solving a variety of problems.
Worksheet
Curated OER

Analyzing and Solving Polynomial Equations

For Students 9th - 11th
In this polynomial equations worksheet, students identify the number of complex roots, real and imaginary roots, and the number of positive and negative roots. This four page worksheet contains 18 multi-step problems. Answers to the...
Worksheet
Curated OER

Complex Analysis: Polynomial Equations

For Students Higher Ed
For this polynomial equations worksheet, students evaluate roots and draw vector representations. This three-page worksheet contains four problems.
Worksheet
Curated OER

Complex Analysis: Polynomial Equations

For Students Higher Ed
In this polynomial equation worksheet, students explore real fractional powers of complex numbers. This three-page worksheet contains examples, explanations and approximately seven problems.
Worksheet
Curated OER

Theorems About Roots and Polynomial Equations

For Students 8th - 11th
In this algebra worksheet, students solve polynomial equations using factoring. They identify the roots of the equations. There are 3 questions with an answer key.
Worksheet
Mt. San Antonio Collage

Synthetic Division and Zeros of Polynomial Functions

For Students 9th - 12th Standards
More than just a instructional activity, this guide provides the description of many of the polynomials theorems to assist the learners. Starting with synthetic division, class members are then guided through the remainder theorem and...
Lesson Plan
Curated OER

Going Back to Your Roots

For Teachers 9th - Higher Ed Standards
Investigate the Fundamental Theorem of Algebra and explore polynomial equations to determine the number of factors, the number of roots, and investigate multiplicity of roots.
Unit Plan
2
2
EngageNY

Polynomial, Rational, and Radical Relationships

For Teachers 9th - 12th Standards
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
Lesson Plan
Curated OER

Exploring Solving Equations

For Teachers 8th - 11th Standards
Put out by Texas Instruments, this lesson plan involves learners in an activity focused on adding polynomials, solving equations, factoring trinomials, and expanding binomials. A TI-89 calculator is needed to complete this lesson plan.
Worksheet
Mt. San Antonio Collage

Review: Solving Equations

For Students 9th - 12th Standards
While there are many types of equations to solve, the main focus here is on quadratics. Starting with a quick review of the different methods, learners are guided through the solving process and are challenged to solve higher level...
Lesson Plan
1
1
EngageNY

The Special Role of Zero in Factoring

For Students 10th - 12th Standards
Use everything you know about quadratic equations to solve polynomial equations! Learners apply the Zero Product Property to factor and solve polynomial equations. They make a direct connection to methods they have used with quadratic...
Lesson Plan
EngageNY

Factoring Extended to the Complex Realm

For Students 10th - 12th Standards
A solution will work one way or another: find solutions, or use solutions to find the function. Learners use polynomial identities to factor polynomials with complex solutions. They then use solutions and the Zero Product Property to...
Lesson Plan
EngageNY

Roots of Unity

For Teachers 11th - 12th Standards
Visualize the nth roots of unity. Pupils calculate the nth roots of unity and find all n roots. Learners plot the solutions in the complex plane and observe that they are the vertices of a regular n-gon inscribed in the unit circle....
Lesson Plan
Curated OER

Polynomials Functions

For Teachers 9th - 12th
High schoolers factor polynomials and linear functions and apply concepts of the fundamental theorem of algebra to solve problems. They graph their solutions and analyze the graph.
Assessment
EngageNY

End-of-Module Assessment Task - Algebra 2 (Module 1)

For Students 10th - 12th Standards
A series of assessment tasks require learners to process information and communicate solutions. Topics include graphing parabolas, solving linear-quadratic systems, factoring polynomials, and solving polynomial equations. 
Lesson Plan
Curated OER

Solving Various Algebraic Equations for Real and Imaginary Roots

For Teachers 10th - 12th
In this solving equations worksheet, young scholars solve forty-four algebraic equations for real and imaginary solutions. Types of equations include higher degress polynomials, rational equationals, radical equations, and square roots...
Lesson Plan
Alabama Learning Exchange

As If Numbers Weren't Complex Enough Already!

For Teachers 9th - 12th Standards
The class explores the concept of complex numbers on a website to generate their own Mandelbrot sets. They will practice performing operations with complex numbers and then to get a visual understanding, graph the absolute value of a...
Lesson Plan
Curated OER

Who am I? Find A Polynomial From Its Roots

For Teachers 9th - 12th
High schoolers generate the equation of a polynomial given its roots and the end behavior of the function. They need to apply theorems concerning the multiplicity of roots, conjugates of irrational or imaginary roots to find a...
Unit Plan
EngageNY

Complex Numbers and Transformations

For Teachers 11th - 12th Standards
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
Lesson Plan
Alabama Learning Exchange

Complex Numbers Solutions

For Students 9th - 12th Standards
Complex doesn't have to mean harder! Learners experiment with online software to determine the quadratic equations with complex solutions. They use the quadratic formula to solve equations with both real and complex solutions.
Worksheet
Curated OER

Complex Roots Made Visible

For Students 11th
In this algebra worksheet, 11th graders solve quadratic functions using the quadratic formula. They identify the negative roots using complex roots. There is an answer key with this problem.