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...

High schoolers generate the equation of a polynomial given its roots and the end behavior of the function. They need to apply theorems concerning the multiplicity of roots, conjugates of irrational or imaginary roots to find a...

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

Here is a lesson that starts with having geometers translate points using compass directions into an accurate picture of the problem. Then they must use their knowledge of the Pythagorean theorem or similar triangles to solve. This makes...

An informative module highlights eight polynomial concepts. Learners work with polynomial functions, expressions, and equations through graphing, simplifying, and solving. 

In this math learning exercise, students practice graphing functions and define the domain. Then they use Lagrange's Theorem to estimate the error involved in using the two Taylor polynomials.

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,...

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...

Bring some concrete reasoning to the skills of multiplying and combining terms. Using various strategies, the six activities in the module provide practice for the skills of adding, subtracting, multiplying, and diving polynomials. The...

In this dividing polynomials worksheet, high schoolers divide 42 polynomials.  Students factor polynomials using synthetic division and long 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.

Students determine the monotonicity and concavity properties of a function, then apply the First Derivative Test and draw conclusions about the first and second derivatives from these properties.

Use the PRT (Polynomial Remainder Theorem) to determine the factors of polynomials and their remainders when divided by linear expressions. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a...

In this Derive activity, students use the Remainder Theorem to find a tangent line to the graph of a polynomial function.

This lesson explores polynomial division with remainders, and the important relationship between a polynomial's remainders and its solutions.

The Quotient Remainder Theorem is explained.

Purplemath.com discusses the Factor Theorem, explaining its relationship to the Remainder Theorem. The lesson has a link to synthetic division, a key to discovering if a value is a root.

Purplemath explains the Remainder Theorem and gives examples using synthetic division to evaluate, determine if a value is a solution/zero. The lesson contains a link to synthetic division and other related terms.

Thirty-nine problems present a variety of practice applying the remainder and factor theorems to polynomial division.

This lesson shows how the Remainder Theorem can be used to evaluate a polynomial for a given x value. It is 3 of 6 in the series titled "Evaluating Polynomials With The Remainder Theorem."

This lesson shows how the Remainder Theorem can be used to evaluate a polynomial for a given x value. It is 4 of 6 in the series titled "Evaluating Polynomials With The Remainder Theorem."

This lesson shows how the Remainder Theorem can be used to evaluate a polynomial for a given x value. It is 6 of 6 in the series titled "Evaluating Polynomials With The Remainder Theorem."

This lesson uses the remainder theorem to determine whether a given value of x is a root of a given polynomial. It is 3 of 5 in the series titled "Finding Roots With The Remainder Theorem."

This tutorial contains a lesson about the remainder and factor theorems along with practice problems.