Interactive
CK-12 Foundation

Polynomials and Factoring: Classification Table

For Students 9th - 12th
It all depends upon the terms. Pupils use the interactive table to sort polynomials. The scholars determine the names for the types of polynomials based on the number of terms.
Lesson Plan
EngageNY

Multiplying and Factoring Polynomial Expressions (part 1)

For Students 9th - 10th Standards
Polynomial multiplication and factoring go hand in hand. Why not teach them together. This resource begins with an area model for distributing a monomial and then connects the process to factoring the GCF. Learners then advance to...
Lesson Plan
EngageNY

Multiplying and Factoring Polynomial Expressions (part 2)

For Students 9th - 10th Standards
If you can multiply binomials, you can factor trinomials! This is the premise for a lesson on factoring. Pupils look for patterns in the binomials they multiply and apply them in reverse. Examples include leading coefficients of one...
Worksheet
Mt. San Antonio Collage

Synthetic Division and Zeros of Polynomial Functions

For Students 9th - 12th Standards
More than just a learning exercise, 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...
Worksheet
Curated OER

Polynomials and Linear Factors

For Students 10th - 11th Standards
This algebra learning exercise 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...
Worksheet
Curated OER

Factoring Polynomials: GCF and Factoring by Grouping

For Students 9th - 12th Standards
Work your way through factoring polynomials with a worksheet that starts with the GCF and ends with factoring by grouping. Each page provides an example as well as an answer key for each section. 
Lesson Plan
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EngageNY

Structure in Graphs of Polynomial Functions

For Students 10th - 12th Standards
Don't allow those polynomial functions to misbehave! Understand the end behavior of a polynomial function based on the degree and leading coefficient. Learners examine the patterns of even and odd degree polynomials and apply them to...
Worksheet
Curated OER

9.6 Factoring Special Polynomials

For Students 9th - 11th
In this factoring special polynomials, students find the product of given polynomials. They factor polynomials and determine the difference of two squares. This one-page worksheet contains 40 multi-step problems.
Worksheet
Curated OER

Roots, Multiplicities, and Factoring Polynomials

For Students 10th - 12th
In this polynomials learning exercise, students find zeros, state multiplicities, and factor twenty-two polynomials.  Students then find a polynomials that satisfies the stated conditions in eighteen problems,  Finally,...
Lesson Plan
EngageNY

Advanced Factoring Strategies for Quadratic Expressions (part 1)

For Students 9th - 10th Standards
Factoring doesn't have to be intimidating. Build on prior knowledge of multiplying binomials and factoring simple trinomials to teach advanced factoring of quadratic expressions with a lesson that uses various methods of exploring the...
Worksheet
Curated OER

L5.3 Worksheet: Multiplying and Factoring Polynomials

For Students 9th - 12th
In this multiplying and factoring polynomials worksheet, students solve 25 short answer problems.  Students FOIL binomials, expand binomials, factor perfect square trinomials, etc.
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

Overcoming Obstacles in Factoring

For Students 10th - 12th Standards
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.
Activity
Education Development Center

Factoring a Degree Six Polynomial

For Students 9th - 10th Standards
Within collaborative groups, scholars factor a degree six polynomial. They can factor the polynomial using many different strategies — a great way to prompt mathematical discussion.
Lesson Plan
2
2
EngageNY

Mastering Factoring

For Students 10th - 12th Standards
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...
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

Overcoming a Second Obstacle in Factoring—What If There Is a Remainder?

For Students 10th - 12th Standards
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!
Lesson Plan
EngageNY

Creating and Solving Quadratic Equations in One Variable

For Students 9th - 10th Standards
Give your classes practice at modeling using quadratic models with a resource that uses area and integer problems to allow individuals to create second degree polynomials. Young mathematicians solve equations using factoring and then...
Interactive
CK-12 Foundation

Sum and Difference of Cubes: Stacking Blocks

For Students 9th - 11th Standards
Investigate polynomial factoring patterns by finding a connection to volume. As learners build a three-dimensional solid from smaller solids, they convert the visual model to a mathematical expression. Their models represent the sum of...
Instructional Video15:50
2
2
Flipped Math

Dividing Polynomials

For Students 9th - 12th Standards
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...
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. 
Worksheet
Curated OER

Factoring

For Students 8th - 9th
In this factoring worksheet, young algebra pupils practice factoring a binomial that is the difference of two squares and factoring by grouping terms for polynomials of four terms. 
Lesson Plan
EngageNY

Advanced Factoring Strategies for Quadratic Expressions (part 2)

For Students 9th - 10th Standards
What do you do with a difficult-to-factor quadratic expression? This lesson provides the answer. Pupils learn a grouping strategy to help factor trinomials. When guess and check seems too tedious, this method is the "works every...
Worksheet
Curated OER

Factoring Polynomials

For Students 8th - 11th
In this factoring activity, learners find the common term, use special products or use the diamond method to factor polynomials. Explanations and examples are provided. This three-page activity contains 45 problems. Answers are provided...