Factor Theorem Teacher Resources

Find Factor Theorem educational ideas and activities

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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 also looks at complex conjugates as zeros of a polynomial function. 
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.
In this remainder and factor theorems worksheet, 11th graders solve and complete 10 different problems. First, they divide using synthetic division and write their answer in the form given. Then, students use synthetic division to find the value of each function. They also find the remaining factors of each polynomial.
In this synthetic substitution learning exercise, 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 learning exercise, 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 learning exercise 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. 
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. 
Students 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.
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.
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.
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.
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.
Students 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.
Pupils read an article to explain the reasoning behind theorems. In this calculus instructional activity, 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.
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. 
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.
Need a quick self-checking instructional activity 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.  

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