Curated OER
The Remainder Theorem
In this algebra worksheet 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.
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Numerical Analysis: Polynomial Interpolation
In this polynomial worksheet, students find interpolating functions that can be expressed as a linear combination of basis functions. This four-page worksheet contains five multi-step problems.
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Polynomial Divisions
Young scholars factor polynomials and use long division t solve problems. In this algebra lesson plan, students find the zeros of polynomials by synthetic and long division. They perform operation using complex numbers.
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How Many Stars are in the Sky?
In this star count worksheet, students solve three problems using a given polynomial and its logarithm to determine the number of stars in a given area.
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The Quest for Roots of Higher Order Equations
Young mathematicians explore the concept of solutions to higher order equations as they find roots of polynomials of degree three or higher. They also use the zero function on the Ti-83 to locate zeros of polynomials on a graph.
Willow Tree
Solving Quadratic Equations
Polynomials are full of solutions! Learners understand that the degree determines the number of solutions. Examples show quadratic equations solved by factoring and by using the quadratic formula. A cubic equation is even mixed in for...
Virginia Department of Education
Factoring
Uncover the relationship between factoring quadratics and higher degree polynomials. Learners develop their factoring skills through repetition. A comprehensive lesson begins with quadratics and shows how to use the same patterns to...
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Naming Polynomials
In this algebra instructional activity, students classify polynomials by their degree and number of terms. There are 30 questions with an answer key.
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Worksheet 38-Spring 1996
In this math worksheet, students determine if the definite integral of given functions exist. They use a Taylor polynomial to approximate given values. Students express the arc length of a graph on a polar coordinate system as an integral.
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The Quadratic Formula
Students complete math problems involving the quadratic formula. Using Internet technology, they visit web sites to answer questions about polynomials and the quadratic formula. Students explore the degree of a polynomial, the purpose of...
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Approximating Roots of Polynomials
Students use the bisection method to approximate the roots of a polynomial. They evaluate functions for a given point, graph linear and quadratic functions, and recognize the elements of polynomial expressions.
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Graphing Calculator Investigation - Second Degree Polynomial Functions
Students solve quadratic functions. In this solving quadratic functions lesson, students determine the height of an object at a given time. Students determine the time at which an object hits the ground. Students answer questions...
Flipped Math
Unit 1 Review: Analyze Graphs and Expressions
Get in one last practice. Pupils work through 12 problems and a performance task to review the topics in Unit 1. The problems cover analyzing and modeling with graphs, algebraic properties of equality, and adding, subtracting, and...
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Measurement: 2D and 3D
Students solve volume problems. In this geometry lesson, the class watches a video about clean water (link provided) and individuals compare the volume of different prisms, including an actual drinking glass. Extension activities include...
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Quadratic Equations with Negative Discriminate
Solve polynomial equations of degree using different theorems and apply the zero factor theorem for unknown numbers in a quadratic equation. Also use the discriminate to find out the kind of solutions to given quadratic equations shown.
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Worksheet 15 - Spring 1996
In this math worksheet, students solve the functions from the definition of Taylor polynomials of degree 4 centered at zero.
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Using Fourier Series
In this Fourier series worksheet, students use polynomials to approximate functions. They use trigonometric functions to approximate periodic functions. Students sketch graphs of functions and find the second degree Fourier polynomial....
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Cubic Approximation
For this calculus and analytic geometry worksheet, students problem solve and calculate the answers to five word problems involving the third degree Taylor polynomial function and the Maclaurin series computation.
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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...
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Count the Differences
Students determine the degree of polynomials. In this determining the degree of polynomials lesson, students find the difference between consecutive y-values. Students find the degree of a linear, quadratic, and cubic...
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Intro to Polynomials
Seventh graders participate in a lesson plan introducing the mathematical concept of polynomials. They are asked questions and assessed according to the answers given during working in small groups.
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Rational Root Theorem
In this polynomial learning exercise, learners use factoring to simplify polynomials and identify its rational roots. Explanations and examples are provided. This two-page learning exercise contains ten problems.
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Functions in Motion
Students graph polynomials functions and analyze the end behavior. In this algebra lesson, student differentiate between the different polynomials based on the exponents. They use a TI to help with the graphing.
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Functions and Roots
In this function worksheet, students 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.