EngageNY
Dividing by (x – a) and (x + a)
Patterns in math emerge from seemingly random places. Learners explore the patterns for factoring the sum and differences of perfect roots. Analyzing these patterns helps young mathematicians develop the polynomial identities.
Curated OER
Factoring Trinomials
Have the class factor and solve trinomials of integers in the form x2 + bx + c, where b and c are positive. They relate factoring to area and then follow a specific format to factor their trinomials. Tiles are used to help them...
Curated OER
Factoring Trinomials
Students factor trinomials. For this algebra lesson, students identify the different integers making up the trinomial and use the special pattern to factor them. They continue to model the equations and how to factor correctly.
Curated OER
Using Factoring to Solve Equations
Eleventh graders use factoring to solve 44 different problems involving area, intercepts, quadratic equations, and functions.
Curated OER
Factoring Review
In this factoring review worksheet, learners factor completely thirty-one problems. This one-page worksheet contains varying factoring problems. Answers are provided.
Virginia Department of Education
Factoring for Zeros
Relate factors to zeros and x-intercepts. Scholars first graph quadratics in both standard and factored forms to see that they are the same. They go on to use the graphs to see the relationship between factors and x-intercepts.
Curated OER
Factoring: Two Terms
In this factoring worksheet, students completely factor two terms. This one-page worksheet contains 15 problems, with answers.
Curated OER
Factoring: Three Terms
In this factoring worksheet, students factor equations containing three terms. This one-page worksheet contains 18 problems, with answers.
Curated OER
Factoring: Four Terms
In this factoring worksheet, learners factor equations containing four terms. This one-page worksheet contains 15 problems, with answers.
Curated OER
Factoring: All Types
For this factor worksheet, algebra learners factor expressions containing two to four terms. This one-page worksheet contains 15 problems, with answers.
CK-12 Foundation
Zero Product Principle
Some lessons feature videos, some interactive practice problems, and some have notes and activities. This comprehensive look at factoring and solving polynomial equations using the zero product principle has all of this and more. Though...
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
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...
Curated OER
Greatest Common Factor and Factoring by Grouping
In this Algebra II/college level worksheet, students factor polynomials by pulling out the GCF and by grouping. The two page worksheet contains seventy–two problems. Answers are provided.
Curated OER
Another Way of Factoring
Focusing on this algebra instructional activity, learners relate quadratic equations in factored form to their solutions and their graph from a number of different aspects. In some problems, one starts with the original equation and...
Curated OER
Factoring Quadratics
Students solve quadratics using factoring. In this algebra lesson, students rewrite word problems and use properties of quadratic equations to solve.
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
Factoring Polynomials
More factoring practice is provide in this worksheet. Factoring binomials, trinomials, and four-term polynomials are included in this set of 40 problems.
Curated OER
Common Factors and Factoring by Grouping
In this algebra worksheet, students factor out common factors of polynomials. Once the common factors are out, students factor trinomial expressions into the product of two binomials when possible.
Curated OER
Mixed Factoring Review
Students solve quadratics by factoring. In this algebra instructional activity, students factor quadratic equations using two different methods. They solve the equations and graph using the intercepts.
Willow Tree
Factoring
Build an understanding of factors and use it to write the prime factorization of numbers. After exploring key vocabulary, learners create prime factorization for given numbers. They then use the prime factorizations to determine the...
Math Solutions
Factor Game
Learning about factors and multiples is all fun and games with this simple math activity. The lesson begins with the teacher and class playing the Factor Game together as students figure out the rules and uncover key...
EngageNY
Modeling with Quadratic Functions (part 1)
Relevance is key! The resource applies quadratic modeling by incorporating application of physics and business. Pupils work through scenarios of projectile motion and revenue/profit relationships. By using the key features of the graph,...
Curated OER
Worksheet #9 - Factoring Polynomials
Factoring practice using the GCF, difference of squares, and factoring by grouping is included in this worksheet. Questions are either short answer or multiple choice.