Purple Math
Purplemath: Solving Polynomials: How To
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.
Purple Math
Purplemath: Factoring Polynomials: How To
Demonstrates the steps involved in factoring a general polynomial, including using the Rational Roots Test and synthetic division. Shows how to "cheat" with a graphing calculator.
Curated OER
Synthetic Division
A step-by-step example problem and explanation of synthetic division is provided.
Help Algebra
Help algebra.com: Synthetic Division
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.
Help Algebra
Help algebra.com: Examples of Polynomial Equations
To solve polynomials of higher degree, use synthetic division as demonstrated here. The Rational Zero Theorem, Upper and Lower Bound Theorem, and Descartes Rule of Signs are explained.
ClassFlow
Class Flow: Polynomials Review for Test
[Free Registration/Login Required] This flipchart can be used to review multiplication/division of monomials, scientific notation, and exponential growth and decay. It uses the Activote.
Texas A&M University
Wtamu Virtual Math Lab: Intermediate Algebra
This site is a tutorial for students in algebra 2 or for those who need a refresher. The site has explanations, definitions, examples, practice problems and practice tests are found covering topics such as linear equations, graphing,...
CK-12 Foundation
Ck 12: Find Imaginary Solutions
[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...
Sophia Learning
Sophia: Simplifying Rational Expressions: It's Simple
Learn to simplify rational expressions using factoring. Includes a short video [1:37] and a practice problem in a slideshow.
CK-12 Foundation
Ck 12: Algebra: Exponent Properties With Variable Expressions
[Free Registration/Login may be required to access all resource tools.] This lesson covers the product and quotient properties of exponents.
CK-12 Foundation
Ck 12: Algebra: Solving Rational Equations Study Guide
This comprehensive study guide highlights the main terms and formulas needed to review solving rational equations. Examples are included.
Math Medics
S.o.s. Math: Algebra
This lesson provides basic instruction on the major concepts in algebra. Content includes a focus on fractions, units of conversion, complex numbers, quadratic equations, factorization and roots of polynomials, solving equations, systems...
CK-12 Foundation
Ck 12: Analysis: Methods for Solving Quadratic Functions
[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."
CK-12 Foundation
Ck 12: Algebra Ii: 11.12 Remainder Theorem
This lesson explores polynomial division with remainders, and the important relationship between a polynomial's remainders and its solutions.
Interactive Mathematics
Interactive Mathematics: The Remainder and the Factor Theorem
This tutorial contains a lesson about the remainder and factor theorems along with practice problems.
Purple Math
Purplemath: Factor Theorem
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.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Rational Zeros and the Fundamental Theorem of Algebra
Twenty-four problems present a variety of practice applying the Rational Zeros Theorem and The Fundamental Theorem of Algebra in different situations. They are given with each step to the solution cleverly revealed one at a time. You can...
Khan Academy
Khan Academy: Algebra Ii: Simplify Rational Expressions: Common Binomial Factors
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.
Khan Academy
Khan Academy: Simplify Rational Expressions: Common Monomial Factors
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.
Khan Academy
Khan Academy: Algebra Ii: Simplify Rational Expressions (Advanced)
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...
Wyzant
Wyzant: Factoring Calculator
The calculator factors expressions by expanding and combining like terms, dividing a greatest common factor, and identifying between two squares or factorable trinomials. An example expression and quick-start guide are included.
Illustrative Mathematics
Illustrative Mathematics: A Apr the Missing Coefficient
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...
Oswego City School District
Regents Exam Prep Center: Multiplying Rational (Fractional) Expressions
Use this site to learn how to simplify rational expressions when multiplication is required. You can practice what you have learned using the problems provided.
CK-12 Foundation
Ck 12: Analysis: Systems of Polar Equations
[Free Registration/Login may be required to access all resource tools.] Graphing equations on polar graphs and finding points of intersection.
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