Curated OER
Zeros of Polynomials
High schoolers graph polynomials. In this Algebra II instructional activity, students investigate the graph of a polynomial to determine the value and the number of zeros. This instructional activity requires the use of a graphing...
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...
Mt. San Antonio Collage
Quiz 2: Polynomials
Four questions that get right to the polynomial point. High schoolers list all the attributes of a polynomial function, including finding all complex zeros. The last two questions prompt them to write a function based on the given zeros...
Curated OER
Practice: Word Problems
Congratulations, you've just hit the word problem jackpot! Covering an incredible range of topics from integers and fractions, to percents, geometry, and much more, this collection of worksheets will keep young mathematicians busy...
Curated OER
Theory of Polynomials
In this theory of polynomials worksheet, learners use the discriminant to determine whether the zeros are real and equal, real and unequal or complex. They find the values of the roots. This two-page worksheet contains 16 problems. ...
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...
Curated OER
Analyzing and Solving Polynomial Equations
In this polynomial equations worksheet, students identify the number of complex roots, real and imaginary roots, and the number of positive and negative roots. This four page worksheet contains 18 multi-step problems. Answers to the...
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
Factoring Polynomials
In this polynomial worksheet, students solve polynomials by factoring and finding square roots. This two-page worksheet contains approximately 20 problems.
Curated OER
Comparing Root-finding Methods
In this root-finding worksheet, students list methods of finding roots. They answer questions about each method, to determine the best circumstances to use each method. This four-page worksheet contains approximately 10 problems.
Curated OER
The Discriminant
In this discriminant activity, students use the discriminant to determine the number of roots a polynomial contains. Explanations and examples are provided prior to the exercise. This two-page activity contains ten problems.
Curated OER
Polynomials Functions
High schoolers factor polynomials and linear functions and apply concepts of the fundamental theorem of algebra to solve problems. They graph their solutions and analyze the graph.
Curated OER
Rational Root Theorem
In this polynomial worksheet, students use factoring to simplify polynomials and identify its rational roots. Explanations and examples are provided. This two-page worksheet contains ten problems.
Concord Consortium
Poly I
Root for young mathematicians learning about functions. A set of two problems assesses understanding of polynomial functions and their roots. Scholars select values for a, b, and c, and then create two functions that meet given...
Curated OER
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.
Curated OER
Complex Analysis: Polynomial Equations
In this polynomial equations learning exercise, students evaluate roots and draw vector representations. This three-page learning exercise contains four problems.
Curated OER
Polynomial Equations
In this polynomial equations learning exercise, 9th graders solve 10 different problems that include various polynomials to a higher degree. First, they solve each equation combining like terms if possible. Then, students find the zeroes...
Illustrative Mathematics
Zeroes and Factorization of a General Polynomial
These four problems will guide your class through the idea behind the Fundamental Theorem of Algebra, which states that a polynomial of degree n has exactly n roots. Use the division algorithm and the definition of a zero/root of a...
Curated OER
Algebraic Atrocities
In this algebra worksheet, students prove whether or not the left side of an equation equals the right side. If it is false, students correct the equation. Equations include fractions, trigonometric identities, logarithms, square roots,...
Curated OER
Numerical Analysis
In this math learning exercise, students use fzero to find the roots of the non-linear functions. They also practice finding the root of the polynomial functions.
Curated OER
Using Synthetic Substitution and The Factor Theorem to determine Factors of Polynomials
In this synthetic substitution worksheet, students evaluate three different function at specified points. Students also determine if given factors are factors of four specific polynomials. Additionally students use the Factor Theorem...
Curated OER
Rational Expressions Test with a Calculator
In this rational expression worksheet, students graph rational equations, evaluate limits, state intercepts, asymptotes, and roots and factor. This worksheet is designed as a test to be completed with a calculator.
Curated OER
Solving Polynomial Equations by Factoring
Students factor polynomial equations. In this algebra lesson, students apply the zero product property to factor quadratic equations. They solve real life scenarios by apply the concepts of parabolas.
Curated OER
Multiplying Polynomials
Help learners study polynomials. They will review how to multiply polynomials either by using the FOIL method if they are multiplying a binomial by another binomial, or by using the distributive property.