EngageNY
The Multiplication of Polynomials
If you can multiply multi-digit integers, you can multiply polynomials. Learners use an area model to compare multiplying numbers to multiplying polynomials. They progress to using the distributive property.
Curated OER
Factoring Polynomials
Young mathematicians examine the "Tic-tac-toe" factoring method to factor polynomials. They use algebra tiles to model solutions of binomial multiplication problems. They discuss strategies and observe teacher-made models for solving...
Curated OER
Adding and Subtracting Algebraic Expressions (Combining Like Terms)
Everyone loves math when it includes food! This lesson tries to take the notion of combining like terms in algebra and comparing it to sorting apples and oranges. It takes a step-by-step approach to helping students understand this...
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,...
EngageNY
Putting It All Together
Shuffle 'em up and deal! Learners practice operations with polynomials using cards they pass around the room. The activity works with pairs or individuals, so it offers great flexibility. This is the fifth installment in a series of 42...
Curated OER
Who am I? Find A Polynomial From Its Roots
High schoolers generate the equation of a polynomial given its roots and the end behavior of the function. They need to apply theorems concerning the multiplicity of roots, conjugates of irrational or imaginary roots to find a...
Curated OER
Multiplying Polynomials
Students investigate polynomials. In this algebra lesson plan, students solve problems dealing with multiplication of polynomials by using the distributive property and the FOIL method. Students also describe how the use of Punnet...
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Divide Polynomials By Factoring
Students investigate how to perform the operation of division with polynomials. The lesson begins with a warm up that has them factor a set of polynomials and then problems using factoring for division are introduced as guided practice.
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Divide the Polynomials by Monomials
In this algebra practice worksheet, students use their problem solving skills to solve 7 problems that require them to divide polynomials by monomials.
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...
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
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
Integrated Algebra/Math A Regents Questions by Performance Indicator
In this dividing polynomials worksheet, students complete 7 division of polynomial problems. Each problem features 4 possible answers.
Curated OER
Division of Polynomials
In this algebra worksheet, students divide polynomials by monomials and binomials. They use the correct property of the quotient rule when dividing. There are 9 questions with an answer key.
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Watch Your P's and Q's
Using your graphing calculator, find all the rational zeroes of a polynomials by using the Rational Zero Theorem. Divide polynomials using the Remainder Theorem and the Factor Theorem and then graph it to find the number of real roots.
Curated OER
More on Factors, Zeros, and Dividing
Students explore the concept of finding zeros of polynomials. In this finding zeros of polynomials activity, students find the zeros of polynomials given one zero. Students factor and find all the zeros of 18 polynomials.
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Algebraic Expressions & Equations
In this algebraic expressions and equations worksheet, 9th graders solve 12 various types of problems ranging from writing expressions for each written equation to solving 8 different word problems related to cost, speed, age, and...
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Solving Various Algebraic Equations for Real and Imaginary Roots
For this solving equations worksheet, students solve forty-four algebraic equations for real and imaginary solutions. Types of equations include higher degress polynomials, rational equationals, radical equations, and square roots inside...
EngageNY
The Remainder Theorem
Time to put it all together! Building on the concepts learned in the previous lessons in this series, learners apply the Remainder Theorem to finding zeros of a polynomial function. They graph from a function and write a function from...
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!
Curated OER
Final Exam Review: College Algebra
In this final exam review worksheet,s students solve systems of equations, polynomials and factor quadratic equations. They identify the slope of a line and write linear equations. Students use Cramer's rule, graphing, substitution,...
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Divide Polynomials
In this polynomials division worksheet, 6th graders divide a total of 10 polynomials. Answers are included on page 2, a reference web site is given for additional activities.
Curated OER
Divide Polynomials
In this division of polynomials learning exercise, students complete a set of 10 problems, answers are included on page 2; a reference web site is given for additional activities.
Curated OER
The Remainder Theorem
In this algebra learning exercise provides extra practice on using the Remainder Theorem to find a factor of a higher degree polynomial. It provides a good review of synthetic division. There are 22 problems with an answer key.