EngageNY
Solutions to Polynomial Equations
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...
Mt. San Antonio Collage
Synthetic Division and Zeros of Polynomial Functions
More than just a worksheet, 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 linear factors.
EngageNY
Roots of Unity
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....
EngageNY
Mid-Module 3 Assessment Task
Time to take a pulse check. The mid-module assessment allows pupils to check where their knowledge falls for the first portion of the module. The 10th resource in a series of 23 covers content from the binomial theorem to hyperbolas....
EngageNY
Does Every Complex Number Have a Square Root?
Help the class find a better way. Pupils recall finding nth roots or a complex number in polar form from a previous module to find the square root of a complex number. Using the second installment in a series of 23, scholars discover it...
Mathematics Vision Project
Module 3: Polynomial Functions
An informative module highlights eight polynomial concepts. Learners work with polynomial functions, expressions, and equations through graphing, simplifying, and solving.
EngageNY
End-of-Module Assessment Task - Algebra 2 (Module 1)
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.
EngageNY
Obstacles Resolved—A Surprising Result
The greater the degree, the more solutions to find! Individuals find the real solutions from a graph and use the Fundamental Theorem of Algebra to find the remaining factors.
Math Medics
S.o.s. Math: Algebra
This lesson provides basic instruction on the major concepts in algebra. Content includes a focus on fractions, units of conversion, complex numbers, quadratic equations, factorization and roots of polynomials, solving equations, systems...
Cut the Knot
Cut the Knot!: Fundamental Theorem of Algebra
Contains detailed historical information regarding the Fundamental Theorem of Algebra and the various proofs that were developed. Click on the links at the bottom of the page to access all the information.
Mathematics Archives
Math Archives: Visual Calculus: Polynomials
The definition and properties of polynomial functions are explained, and their graphs explored. Examples and LiveMath notebook activities make the site interactive in getting the students to test their knowledge of the material.
Richland Community College
Real Zeros of Polynomial Functions
This site from the Richland Community College contains information on long and synthetic division, the remainder theorem and the factor theorem.
Wolfram Research
Wolfram Science World: Karl Friedrich Gauss (1777 1855)
A comprehensive summary of Gauss work, primarily mathematical. An incredible number of hotwords, along with many links to other scientist and mathematicians.
Math Medics
S.o.s. Math: Fundamental Theorem of Algebra
This lesson takes a look at the Fundamental Theorem of Algebra. It gives information on solving multiplicity of roots and quadratic polynomials. Also gives a brief history and provides some learning exercises to practice.
University of St. Andrews (UK)
University of St. Andrews: The Fundamental Theorem of Algebra
Contains a brief historical description of how the Fundamental Theorem of Algebra evolved.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Rational Zeros and the Fundamental Theorem of Algebra
Twenty-four problems present a variety of practice applying the Rational Zeros Theorem and The Fundamental Theorem of Algebra in different situations. They are given with each step to the solution cleverly revealed one at a time. You can...
Other
U of North Dakota: Fundamental Theorem of Algebra
A historical overview of the Fundamental Theorem of Algebra. Links to historic mathematicians and the development of this theorem.
CK-12 Foundation
Ck 12: Analysis: Fundamental Theorem of Algebra
[Free Registration/Login may be required to access all resource tools.] This lesson shows you how to find any solution, including imaginary ones, to a polynomial. Students examine guided notes, review guided practice, watch instructional...
CK-12 Foundation
Ck 12: Fundamental Theorem of Algebra
[Free Registration/Login may be required to access all resource tools.] Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.
CK-12 Foundation
Ck 12: Fundamental Theorem of Algebra
[Free Registration/Login may be required to access all resource tools.] Resources for teaching and applying the Fundamental Theorem of Algebra.
Lawrence Hall of Science
The Math Page: Topics in Pre Calculus: Roots of Higher Degree Polynomial
Here is a site that clearly and thoroughly explains how to find the roots of polynomials of degree greater than two. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this...
Illustrative Mathematics
Illustrative Mathematics: A Apr Zeroes and Factorization of a General Polynomial
In this task, students investigate the properties of a polynomial of degree d > 0. The task relates to the Fundamental Theorem of Algebra. Aligns with A-APR.B.2.
Paul Dawkins
Paul's Online Notes: Algebra: Zeroes/roots of Polynomials
Learn about the root or zero of a polynomial with this reference guide. Includes definitions, step-by-step instructions on how to find all the zeroes for a given polynomial, and multiple examples. Also included is a description of The...
CK-12 Foundation
Ck 12: Find Imaginary Solutions: Fundamental Theorem of Algebra
[Free Registration/Login may be required to access all resource tools.] Here you will learn about the Fundamental Theorem of Algebra, and how to apply it to various functions. You will also review using the quadratic equation to find...