Factor Theorem Teacher 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 also looks at complex conjugates as...

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.

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...

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...

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.

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. 

Section seven of twelve turns the mathematical eye toward higher-level concepts. From radians in the unit circle to the complex number system, logarithms to advanced factoring methods, this lesson—just past the halfway point in the...

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...

In this remainder and factor theorems learning exercise, 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...

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...

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...

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...

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 learning exercise 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...

New ReviewMore than just a worksheet, this guide provides the description of many of the polynomials theorems to assist the learners. Starting with synthetic division, class members are then guided through the remainder theorem and linear factors. 

This activity uses the division algorithm and the definition of a zero/root of a function to guide your class to see the relationship between zeros and factors of a general quadratic, which can later be generalized to the Remainder...

This activity highlights the use of the remainder theorem to solve for the unknown coefficient of a specified polynomial when given one of its factors. Use this single problem as a warm-up exercise, a quick check-in at the end of a...

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.

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...

For 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.

Pupils 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...