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EngageNY
Comparing Methods—Long Division, Again?
Remember long division from fifth grade? Use the same algorithm to divide polynomials. Learners develop a strategy for dividing polynomials using what they remember from dividing whole numbers.
EngageNY
The Division of Polynomials
Build a true understanding of division of polynomials. Learners use their knowledge of multiplying polynomials to create an algorithm to divide polynomials. The area model of multiplication becomes the reverse tabular method of division.
West Contra Costa Unified School District
Polynomial Division
How do you apply the traditional division algorithm to polynomials? Here is an Algebra II lesson that extends the use of the division algorithm to polynomials. After establishing the concept of long division, synthetic division and the...
West Contra Costa Unified School District
Polynomial Division
Multiply the ways your scholars can find the quotient with polynomial division. A lesson plan introduces polynomial division via long division, synthetic division, generic area model, and using the definition of division. Learners...
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...
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.
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!
EngageNY
Mental Math
Faster than a speedy calculator! Show your classes how to use polynomial identities to multiply numbers quickly using mental math.
Curated OER
Polynomial Divisions
Students factor polynomials and use long division t solve problems. In this algebra lesson, students find the zeros of polynomials by synthetic and long division. They perform operation using complex numbers.
Curated OER
Polynomials
Eighth graders investigate the concepts and combining them into polynomials. The teacher uses direct instruction for delivery. They can use Algebra to make this lesson hands-on for the benefit of kinesthetic learners.
Curated OER
Lesson #106 Logs and Long Division
Students investigate a method of evaluating integrals using long division. In this calculus lesson, 12th graders examine a method of using long division to perform integration. The lesson includes a bingo worksheet on...
Curated OER
Dividing Expressions
In this algebra worksheet, students divide expressions and utilize exponent rules. There are 7 questions with multiple parts.
Curated OER
Functions and Roots
In this function worksheet, young scholars factor polynomials, or use the FOIL method, to simplify polynomials and determine the roots. This three-page worksheet contains ten problems. Explanations and examples are provided.
Curated OER
Arithmetic Complex Numbers
Learners convert quadratic functions from standard form to vertex form. In this algebra lesson, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.