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.
Curated OER
Polynomials Functions
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.
EngageNY
Factoring Extended to the Complex Realm
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...
EngageNY
Mastering Factoring
Math class is full of drama—there are so many problems to work out! Pupils work out factoring problems. They use quadratic methods of factoring higher degree polynomials, in addition to factoring the sum and difference of two cubes.
Curated OER
Factoring With Polynomials
In this algebra worksheet, students factor polynomials using the greatest common factor. They also use the foil method. There are 8 questions with an answer key.
EngageNY
The Special Role of Zero in Factoring
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...
El Paso Community College
Factoring
Factoring polynomials is an important skill through high school math and beyond. It provides instructions for the basic types of factoring and a practice set with an answer key.
EngageNY
Overcoming Obstacles in Factoring
What do you do when factoring doesn't work? Learners complete the square when faced with quadratic expression that don't factor traditionally. They then use factoring by grouping to solve polynomial equations.
EngageNY
Overcoming a Second Obstacle in Factoring—What If There Is a Remainder?
Looking for an alternative approach to long division? Show your classes how to use factoring in place of long division. Increase their fluency with factoring at the same time!
Flipped Math
Dividing Polynomials
Divide and conquer factoring. Learners see how dividing polynomials is similar to long division of numbers. Pupils learn how to use long division of polynomials to help find factors of higher degree polynomials. They then use their...
5280 Math
Polygon Polynomials
Patterns in polygons lead to patterns in polynomials. Presented with a series of polygons, individuals create polynomial expressions to represent their patterns. The algebra project consists of nine problems that incorporate polynomial...
Illustrative Mathematics
Zeroes and Factorization of a General Polynomial
These four problems will guide your class through the idea behind the Fundamental Theorem of Algebra, which states that a polynomial of degree n has exactly n roots. Use the division algorithm and the definition of a zero/root of a...
Curated OER
Roots, Multiplicities, and Factoring Polynomials
For this polynomials worksheet, students find zeros, state multiplicities, and factor twenty-two polynomials. Students then find a polynomials that satisfies the stated conditions in eighteen problems, Finally, students factor...
Curated OER
Multiplying Polynomials
Students explore multiplying polynomials. They observe solving polynomials using the standard order of operations, FOIL, and the box method. Throughout the demonstration, students explore strategies of solving word problems such as...
Curated OER
Perfect Squares and Factoring
A teacher guided lesson on perfect squares and factoring. They discuss perfect squares, observe the expansion steps for finding the product, and practice solving problems. They complete a worksheet on perfect squares and factoring.
Curated OER
Multiplying Polynomials
Help learners study polynomials. They will review how to multiply polynomials either by using the FOIL method if they are multiplying a binomial by another binomial, or by using the distributive property.
Willow Tree
Factoring Polynomials
Young mathematicians discover trees organize more than just families — they help factor, too. The lesson begins with factor trees and develops slowly to factoring by grouping and special patterns.
Virginia Department of Education
Factoring
Uncover the relationship between factoring quadratics and higher degree polynomials. Learners develop their factoring skills through repetition. A comprehensive instructional activity begins with quadratics and shows how to use the same...
Illustrative Mathematics
Zeroes and factorization of a quadratic polynomial I
This activity uses the division algorithm and the definition of a zero/root of a function to guide your class to see the relationship between zeros and factors of a general quadratic, which can later be generalized to the Remainder...
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,...
Willow Tree
Multiplying Polynomials
Make two parts into a whole. Scholars learn to multiply polynomials to create a simplified polynomial expression. Polynomials include monomial, binomials, and trinomials.
Curated OER
The Remainder Theorem Using TI-Nspire CAS
Investigate the Remainder Theorem in this algebra lesson. Explore the relationship between the remainders of polynomial division and the function. Each of the four problems gets progressively more complicated. This might be a great...
Curated OER
Solve By Factoring Worksheet
In this factoring worksheet, students solve given equations through factoring. Students solve polynomial equations and place their answers in the space provided. This web page provides step-by-step instructions for each equation. ...
Macquarie University
Factorizing Algebraic Expressions
In this comprehensive worksheet, mathematicians solve and complete various types of problems on factoring and using the quadratic formula. This worksheet also includes the use of factoring to simplify rational expressions. Overall, it...