Factor Theorem Teacher Resources
Find Factor Theorem educational ideas and activities
Showing 1 - 19 of 19 resources
Explore finding zeros of polynomial functions in a number of ways including using synthetic division, depressed polynomials, factoring, the Factor Theorem. and the Rational Roots Theorem. This lesson plan also looks at complex conjugates as zeros of a polynomial function.
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.
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 and synthetic division to determine rational roots for thirteen polynomial functions.
In this Algebra II/college level worksheet, students use long and synthetic division to divide polynomials and use the Factor Theorem to show that a given polynomial is a factor of a polynomial function. The two page worksheet contains forty-four problems. Answers are included.
This comprehensive lesson looks at higher-degree polynomials. The important topics covered include the Remainder Theorem, the Factor Theorem, and synthetic division. Included is a clearly written tutorial, problem sets, summary, and answer key.
Polynomials and Linear Factors
This algebra worksheet reviews writing polynomials in standard form from factored form, looks at the graphs of polynomials of degree higher than two, and identifies the zeros of polynomials using the Factor Theorem and Fundamental Theorem of Algebra.
Explore the concept of polynomial division and make conjectures about the Remainder and Factor Theorems in this investigative worksheet. Learners use a CAS calculator to factor polynomials through polynomial division.
Pupils 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.
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.
The Remainder and Factor Theorems
In this remainder and factor theorems worksheet, one solves and completes 24 different types of problems. First, they use synthetic substitution to find the value for each function. Then, students find the remaining factors of the polynomials listed.
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.
Iterating to Find the Square Root of 2
In this investigative lesson, a programmable calculator is used to help learners explore the properties of irrational numbers. Here, the square root of 2 is calculated to a large number of decimal places by using an iterative algorithm the converges to value of the square root of two.
In this trigonometry worksheet, students solve for trigonometric functions. They convert between radians and angles using the properties of sine, cosine and tangent. There are 30 problems on this handout.
Building Connections among Classes of Polynomial Functions
Learners explain the relationship between linear factors of a polynomial function and the graph of the function. Based on the graph of two lines, they sketch the parabola that is the product of the two linear expressions.
Why we Use Theorem In Calculus
Students read an article to explain the reasoning behind theorems. In this calculus lesson, students understand the underlying principles of theorems and how it helps them make sense of the problems. They know why they do what they do in AP Calculus.
Learners explore the concept of number theory. They discuss an assortment of number theory topics such as prime numbers, composite numbers, GCF, modular arithmetic, and others in a lecture style discussion. Pupils view videos about these topics as well.
Roots of Polynomial Functions
Here is a unit test on finding factors and zeros of higher-degree polynomials that could be used as a review or practice test. The Remainder Theorem, Rational Zero Theorem, and Factor Theorem are put into use. While this four-page worksheet does provide a good set of problems, it does not include an answer key.
Theory of Polynomials
In this polynomial worksheet provides extra practice the Factor and Remainder Theorems. They identify factors of given linear expressions. This two-page worksheet contains 19 problems. The answers are provided on the second page.
The Remainder and Factor Theorems
Need a quick self-checking worksheet on finding factors and zeros of higher-degree polynomials? Here are five questions that test ones use of synthetic division and the Remainder Theorem to determine quotients, remainders, and factors of polynomials.