Activity
Help Algebra

Algebra Help: Operations With Polynomials

For Students 9th - 10th Standards
This article gives an overview for adding, subtracting, multiplying, and dividing polynomials. Examples are given, but more importantly, they are accompanied with explanations of why the process worked.
Activity
Help Algebra

Help algebra.com: Synthetic Division

For Students 9th - 10th
Synthetic division is thoroughly explained using long division as a starting point. The examples are very detailed and provide the steps necessary for completing the process of synthetic division.
Handout
Curated OER

Real Roots of Polynomial Functions

For Students 9th - 10th Standards
A thorough abstract treatment of how to find the roots of a polynomial function. The site explains how to divide polynomials and the remainder theorem. The language is a bit technical, but the examples are good.
Unknown Type
Khan Academy

Khan Academy: Divide Polynomials With Remainders

For Students 9th - 10th Standards
Rewrite rational expressions of the form a(x)/b(x), where a(x) and b(x) are polynomials, in the form q(x)+r(x)/b(x), where q(x) and r(x) are polynomials and the degree of r(x) is less than the degree of b(x). Students receive immediate...
Unknown Type
Khan Academy

Khan Academy: Divide Polynomials by Monomials (With Remainders)

For Students 9th - 10th Standards
Rewrite rational expressions of the form a(x)/b(x), where a(x) is a polynomial and b(x) is a monomial, in the form q(x)+r(x)/b(x), where q(x) and r(x) are polynomials and the degree of r(x) is less than the degree of b(x). Students...
Unknown Type
Khan Academy

Khan Academy: Algebra Ii: Divide Polynomials by Linear Expressions

For Students 9th - 10th Standards
Rewrite rational expressions of the form a(x)/b(x), where a(x) is a polynomial and b(x) is a linear binomial, in the form q(x)+r(x)/b(x), where q(x) and r(x) are polynomials and the degree of r(x) is less than the degree of b(x)....
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Methods for Solving Quadratic Functions

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson applies factoring a quadratic equation to other types of polynomials that are in "quadratic form."
Unit Plan
CK-12 Foundation

Ck 12: Find Imaginary Solutions

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] In this lesson, students are finding complex roots of polynomials and applications of the Fundamental Theorem of Algebra. Students examine guided notes, review...
Activity
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Dividing Polynomials

For Students 9th - 10th
Math Forum offers an example of how to simplify a complex rational expression by factoring.
Handout
Other

Georgia Perimeter College: Polynomials

For Students 9th - 10th Standards
This resource covers the laws of exponents and operations with polynomials, including FOIL and long division.
Handout
Purple Math

Purplemath: Solving Polynomials: How To

For Students 9th - 10th Standards
Demonstrates the steps involved in solving a general polynomial, including how to use the Rational Roots Test and synthetic division. Points out when using a graphing calculator can be very helpful.
Handout
Curated OER

Synthetic Division

For Students 9th - 10th Standards
A step-by-step example problem and explanation of synthetic division is provided.
Unknown Type
Washington State University

Washington State University: Sample Problems From Intermediate Algebra

For Students 9th - 10th
Check for college math readiness using this problem sampler. Problems cover high school algebra topics, including linear and quadratic equations, factoring, radicals, rational expressions, synthetic division, complex numbers and more....
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Apr the Missing Coefficient

For Teachers 9th - 10th Standards
The purpose of this task is to emphasize the use of the Remainder Theorem as a method for determining structure in polynomials in equations, and in this particular instance, as a replacement for division of polynomials. Aligns with...
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Exponent Properties With Variable Expressions

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] This lesson covers the product and quotient properties of exponents.
Activity
Math Is Fun

Math Is Fun: Dividing Polynomials

For Students 9th - 10th Standards
The algebra concept of dividing polynomials is examined in this learning resource. The notes consist of detailed video explanations.
Activity
Purple Math

Purplemath: Factor Theorem

For Students 9th - 10th Standards
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.
Unknown Type
Khan Academy

Khan Academy: Algebra Ii: Simplify Rational Expressions: Common Binomial Factors

For Students 9th - 10th Standards
Factor the numerator and the denominator of a rational expression and cancel out common binomial terms. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Unknown Type
Khan Academy

Khan Academy: Simplify Rational Expressions: Common Monomial Factors

For Students 9th - 10th Standards
Factor the numerator and the denominator of a rational expression and cancel out common monomial factors. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Unknown Type
Khan Academy

Khan Academy: Algebra Ii: Simplify Rational Expressions (Advanced)

For Students 9th - 10th Standards
Factor the numerator and the denominator of a rational expression using advanced methods, and cancel out common terms. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive...
Unit Plan
Sophia Learning

Sophia: Simplifying Rational Expressions: It's Simple

For Students 9th - 10th Standards
Learn to simplify rational expressions using factoring. Includes a short video [1:37] and a practice problem in a slideshow.
Activity
Interactive Mathematics

Interactive Mathematics: The Remainder and the Factor Theorem

For Students 9th - 10th Standards
This tutorial contains a lesson about the remainder and factor theorems along with practice problems.

Other popular searches