Lesson Plan
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Operations of Polynomials

For Teachers 9th - 10th
Learners investigate the concept of manipulating polynomials. They go through the process of using algebra tiles in order to practice grouping of like terms and model the solving process.
Lesson Plan
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Multiplying and Dividing Polynomials

For Teachers 8th - 9th
Students practice multiplying and dividing polynomial expressions with monomials. After a lecture on how to calculate the expression, students practice solving their own polynomial expression while being guided by their classmates.
Worksheet
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Adding and Subtracting Polynomials

For Students 9th
In this polynomials worksheet, 9th graders solve and complete 22 various types of polynomials by adding and subtracting. First, they identify the like terms in each. Then, students combine the like terms and remove the brackets. They...
Lesson Plan
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Divide Polynomials By Factoring

For Teachers 9th - 12th
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.
Worksheet
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Solve By Completing The Square

For Students 10th - 11th
In this completing the square worksheet, student solve equations by completing the square. Students may place their answers on the webpage for immediate feedback. In addition, step-by-step instructions are provided. There are 20...
Worksheet
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Complex Analysis: Polynomial Equations

For Students Higher Ed
For this polynomial equations worksheet, students evaluate roots and draw vector representations. This three-page worksheet contains four problems.
Worksheet
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Complex Analysis: Polynomial Equations

For Students Higher Ed
In this polynomial equation worksheet, students explore real fractional powers of complex numbers. This three-page worksheet contains examples, explanations and approximately seven problems.
Worksheet
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Theory of Polynomials

For Students 11th - Higher Ed
In this theory of polynomials learning exercise, students solve nine problems total related to polynomials. In this first part, they use synthetic division to find the quotient, and the remainder if there is a dividend and a divisor. In...
Worksheet
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Multiplying Polynomials

For Students 9th
In this multiplying polynomials worksheet, 9th graders solve and complete 9 different problems. First, they find each product by either using the distributive property or multiplying polynomials vertically. Then, students combine like...
Worksheet
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Adding and Subtracting Polynomials

For Students 9th
In this polynomials instructional activity, 9th graders solve and complete 12 different problems that include adding and subtracting. First, they identify and combine like terms. Then, students find each sum or difference using the...
Worksheet
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Topic: Dividing Polynomials

For Students 8th - 10th
In this polynomials worksheet, students use Synthetic division or long division to find the quotient of each polynomial. There are 10 problems to solve.
Worksheet
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Graphing Polynomial Functions

For Students 9th
In this polynomial functions worksheet, 9th graders solve and complete 22 various types of problems. First, they describe the end behavior of each function. Then, students state the maximum number of turns the graph of each function...
Lesson Plan
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Models with monomials and polynomials

For Teachers 9th - 12th
Students participate in a lesson that focuses on the concepts of combining monomials to make polynomial expressions. They use algebra tiles to complete the exercises in the lesson. This is hands-on learning with successive problem...
Lesson Plan
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Extra Practice 17: Addition and Subtraction of Polynomials

For Teachers 9th - 10th
In this polynomial worksheet, students use addition and subtraction to solve equations containing polynomials. There are 20 problems on this two-page worksheet.
Worksheet
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Addition and Subtraction of Polynomials

For Students 9th
In this polynomials worksheet, 9th graders solve 10 different problems that include addition and subtraction of various polynomials. First, they remove the parentheses and group like terms together. Then, students add or subtract like...
Worksheet
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Division of Polynomials

For Students 9th
In this division of polynomials learning exercise, 9th graders solve 10 different equations that include monomials. First, they divide each terms of the polynomial by the monomial and subtract the exponents. Then, students write the...
Worksheet
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Polynomial Word Problems

For Students 9th - 10th
In this polynomial word problem worksheet, students read story problems, write a system of equations, and solve using substitution. This one-page worksheet contains ten problems.
Worksheet
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Polynomials

For Students 9th
In this polynomials worksheet, 9th graders solve and complete 24 different problems that include various polynomials. First, they determine which of those listed are binomials. Then, students simplify numerous polynomials by...
Worksheet
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Multiplying a Polynomial by a Monomial

For Students 9th
In this polynomials worksheet, 9th graders solve and complete 30 different problems that include multiplying various polynomials by a monomial. First, they find each product of each equation. Then, students simplify by multiplying each...
Worksheet
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Multiplying Polynomials

For Students 9th - 11th
In this multiplying polynomials worksheet, learners solve and complete 20 different problems. First, they distribute both terms of one polynomial times both terms of the other polynomial. Then, students combine like terms and complete.
Worksheet
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Naming Polynomials

For Students 9th - 12th
In this math worksheet, students practice the techniques associated with naming polynomials. This worksheet has 30 problems for the students to solve and includes and answer sheet.
Worksheet
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Adding and Subtracting Polynomials

For Students 9th
In this polynomials worksheet, 9th graders solve and complete 17 different problems that include adding and subtracting various polynomials. First, they determine the sum or difference of each equation listed, combining like terms when...
Worksheet
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Solving Equations by Factoring

For Students 9th
For this solving equations worksheet, 9th graders solve and complete 14 different problems by factoring. First, they determine the method they will use to solve each equation. Then, students simplify each side of the equations when...
Worksheet
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Long Division of Polynomials

For Students 6th
In this long division of polynomials worksheet, 6th graders solve and complete 7 different types of problems. First, they divide the first term of divisor into dividend. Then, students multiply new term of quotient by both terms of...