Roots of Polynomials Teacher Resources

In this ways to solve quadratic equations worksheet, learners solve 19 equations using five different methods, then solve four more using the method of their choice.

In this factoring worksheet, students factor perfect squares. Explanations and examples are provided at the beginning of the worksheet. This two-page worksheet contains ten problems.

In this worksheet, learners identify the Fundamental Theorem of Algebra. They solve polynomial functions and simplify expressions and equations. 

Learners describe the end behavior of polynomial functions. Pupils relate the behavior of the graph to the exponent of the graph. They differentiate graphs with odd-exponent and graphs with even exponents.

Young mathematicians learn to write algebraic equations. They solve and graph different polynomial functions with different powers. They then graph radicals and identify the domain and range.

Students investigate the use of a graphing calculator in solving problems. In this algebra lesson, students solve polynomials problems using a calculator.

Pupils graph polynomial functions and analyze the graphs. They identify the inverse of the functions and find the domain and range. Learners will then label the functions as one to one and use the horizontal and vertical line test to...

In this biology activity, students identify and locate various vocabulary terms pertaining to algae. There are 54 biology terms located in the word search.

Starting with a quadratic equation in standard form, the instructor shows you how to rewrite the equation to vertex form. She shows step-by-step how to complete the square.

Young scholars convert quadratic functions from standard form to vertex form. In this algebra lesson, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.

Students determine eigenvectors and eigenvalues for a matrix. Students diagonalize a matrix. Similar matrices are defined. Determinant formula is given for an degree n polynomial.

In this math learning exercise, they give conditions on the constants a and b which ensure that x0 is a regular singular point of the equation. Then they write examples of polynomial functions.

In this polynomial worksheet, learners complete the square of a given problem. Explanations and examples are provided. This two-page worksheet contains ten problems.

In this word worksheet, 9th graders examine pictures and write a mathematical phrase to describe the picture.  This one-page worksheet contains 25 problems.  Answers are provided.

Factor the given quadratic equation by using the guess and check method. Then use the zero product property to find the solutions to the quadratic equation. Don't forget to check both of the answers.

Eleventh graders sort different types of functions including rational, periodic, exponential, polynomial, quadratic, logarithmic and linear using "function cards." The functions are displayed in multiple representations including...

Wow! Here is a handout packed full of tips and worked-out solutions to supplement instruction on fractional exponents. The lesson introduces and thoroughly explains the Algebra II concept, and closes with a...

While there are many types of equations to solve, the main focus here is on quadratics. Starting with a quick review of the different methods, learners are guided through the solving process and are challenged to solve higher level...

Explore the power of mathematics through this two-week statistics unit. Pupils learn about several climate-related issues and complete surveys that communicate their perceptions. They graph both univariate and bivariate data and use...

How can baseball and skeet-shooting be modeled mathematically? Sports lovers and young mathematicians learn how to use quadratic equations and systems of equations to model the flight paths of various objects.

Functions require an input in order to get an output, which explains why the answer always has at least two parts. After only three multi-part questions, the teacher can analyze pupils' strengths and weaknesses when it comes to...

Explore rational functions with this packet. A lot of information is provided, including several examples. Learners graph rational functions and find vertical, horizontal, and oblique asymptotes. This seven-page worksheet contains...

Students design a rectangular box without a lid that has the largest possible volume using the supplied sheet of centimeter graph paper. They work in groups to construct different size boxes to determine the largest possible volume and...

Work on the concept of using division with integer powers. The skills of using exponents and multiplying powers should be in place before attempting this lesson. The lesson provides examples for the teacher to use for direct instruction.