Curated OER
Chapter 4 Review Worksheet: Polynomial
For this polynomial worksheet, students write polynomial equations, determine the discriminant of equations, and find zeros of functions. This two-page worksheet contains 16 problems.
Curated OER
Roots and Zeros
In this roots and zeros worksheet, 11th graders solve and complete 9 different problems. First, they state the number of positive real zeros, negative real zeros, and imaginary zeros for each function. Then, students find all the zeros...
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,...
Curated OER
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
Going Back to Your Roots
Who doesn't need to know the Fundamental Theorem of Algebra? Use the theorem to find the roots of a polynomial on a TI calculator. The class explores polynomials with one solution, no real solutions, and two solutions. This less lesson...
Curated OER
Going Back to Your Roots
Investigate the Fundamental Theorem of Algebra and explore polynomial equations to determine the number of factors, the number of roots, and investigate multiplicity of roots.
Curated OER
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.
Curated OER
Polynomial Divisions
Young scholars 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.
EngageNY
The Special Role of Zero in Factoring
Use everything you know about quadratic equations to solve polynomial equations! Learners apply the Zero Product Property to factor and solve polynomial equations. They make a direct connection to methods they have used with quadratic...
EngageNY
Obstacles Resolved—A Surprising Result
The greater the degree, the more solutions to find! Individuals find the real solutions from a graph and use the Fundamental Theorem of Algebra to find the remaining factors.
Curated OER
Polynomial Equations
In this polynomial equations worksheet, 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 or the...
Curated OER
Solving Various Algebraic Equations for Real and Imaginary Roots
In 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...
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
Quadratic Formula
Mathematicians determine the solutions of a quadratic function by looking at a graph. They use the quadratic formula to solve quadratic functions on their Ti-Nspire.
Curated OER
Another Way of Factoring
Focusing on this algebra lesson, learners relate quadratic equations in factored form to their solutions and their graph from a number of different aspects. In some problems, one starts with the original equation and finds the solutions....
Curated OER
Graphing Polynomials
Students graph polynomial equations using different methods. For this algebra lesson, students identify the different ways the x and y values relate in a graph. They solve for x by finding the zero's of the polynomials.
Curated OER
Math Worksheet: Graph Polynomial (2)
In this algebra worksheet, students factor polynomials to find f(x). There are 3 questions on this worksheet.
Curated OER
Graphing Polynomials
In this polynomials worksheet, 9th graders solve and complete 3 different problems. First, they illustrate the x is equal to a given number of a function and determine its multiplicity. Then, students factor the function completely and...
Flipped Math
Remainder Theorem
Don't divide! Pupils view three examples relating the remainder of a polynomial division and the polynomial function evaluated at a related value. Learners notice how to find a missing coefficient in a polynomial given the remainder of a...
Curated OER
Quadratic Rules and Graphs
Students identify the properties of quadratic equations. In this algebra lesson, students find the vertex and intercepts of a parabola. They factor quadratics and identify the zeros of the equations.
Curated OER
Factors and Zeros
For this factors and zeros worksheet, students factor given problems. They write polynomial functions with integral coefficients. This four-page worksheet contains 20 problems. Answers are provided on the last page.
Curated OER
Theory of Polynomials
In this theory of polynomials worksheet, students 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. ...
Curated OER
Quiz: Graphs of Polynomial Equations of Higher Degree
In this polynomial equation worksheet, students find the roots of polynomial functions. They interpret graphs and estimate the solution to given equations. This two-page worksheet contains ten polynomial equation problems.
Curated OER
Irrational and Imaginary Root Theorems
In this irrational and imaginary root theorem instructional activity, students identify the number of complex zeros for a given function. They write a polynomial function of leas degree with integral coefficients. This four-page...