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.
Mathematics Vision Project
Quadratic Equations
Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...
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 4: Polynomial Functions
Bridge the gap between graphical and algebraic representations. Learners complete six lessons that begin by pointing out connections between the key features of a polynomial graph and its algebraic function. Later, pupils use the...
Mathematics Vision Project
Module 3: Numbers and Operations
Bring some concrete reasoning to the skills of multiplying and combining terms. Using various strategies, the six activities in the module provide practice for the skills of adding, subtracting, multiplying, and diving polynomials. The...
CK-12 Foundation
Find Imaginary Solutions: Imaginary Zeros
The resource is the real deal. Individuals investigate the imaginary zeros of f(x) = x^2 + 1. They accomplish this task by using an interactive that shows input values x = a + bi and output values x^2 + 1 on a complex plane.
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
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.
EngageNY
Polynomial, Rational, and Radical Relationships
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,...
Curated OER
Polynomials and Linear Factors
This algebra activity reviews writing polynomials in standard form from factored form, looks at the graphs of polynomials of degree higher than two, and identifies the zeros of polynomials using the Factor Theorem and Fundamental Theorem...
Curated OER
Going Back to Your Roots
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.
Curated OER
Going Back to Your Roots
Who doesn't need to know the Fundamental Theorem of Algebra? Use the theorem to find the roots of a polynomial on a TI calculator. The class explores polynomials with one solution, no real solutions, and two solutions. This less...
Curated OER
Fundamental Theorem of Algebra
In this instructional activity, learners identify the Fundamental Theorem of Algebra. They solve polynomial functions and simplify expressions and equations.
Other
Brown Math: Solving Polynomial Equations
The many facets of factoring polynomials and solving polynomial equations are explained here in great detail. Taking students from basic definitions through the Descartes Rule of Signs, this is a valuable tool for math classes.
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.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Polynomial and Rational Functions
Hotmath provides 20 practice problems that relate to polynomial and rational functions. Each of the practice problems include a step-by-step guide for solving.
Department of Defense
Do Dea: Algebra 1: Semester Ii: Polynomials
A learning module through which students learn about polynomials including scientific notation, adding and subtracting polynomials, multiplying polynomials, factors and greatest common factor, factoring trinomials, and special factors.
Paul Dawkins
Paul's Online Notes: Algebra: Finding Zeroes of Polynomials
This tutorial looks at a process using the Rational Root Theorem that allows you to find some of the zeroes of a polynomial and in special cases all of the zeroes.
OnlineMathLearning.com
Online Math Learning: Factor Polynomials With Complex Roots
A collection of video lessons with example problems and solutions to help students learn how to extend polynomial identities to the complex numbers. Includes interactive widget for working on the modeled problems or trying your own.
Other
Quick Math: Factor Polynomials
The process of factoring is essential to the simplification of many algebraic expressions and is a useful tool in solving higher degree equations. In fact, the process of factoring is so important that very little of algebra beyond this...
National Council of Teachers of Mathematics
The Math Forum: Suzanne Alejandre: Algebraic Factoring
Use algebra tiles to explore factoring of polynomials.