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Topics in Algebra: Polynomials and Factoring

An easy to understand, step by step approach to polynomials and factoring
5.0 (2 ratings)
Instead of using a simple lifetime average, Udemy calculates a course's star rating by considering a number of different factors such as the number of ratings, the age of ratings, and the likelihood of fraudulent ratings.
39 students enrolled
Created by Joe Huston
Last updated 11/2013
$15 $20 25% off
30-Day Money-Back Guarantee
  • 2.5 hours on-demand video
  • 2 Articles
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
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This course covers algebraic topics including operations on polynomials, factoring, and synthetic division. The course curriculum aligns to content that is common to most high school algebra 1 and algebra 2 courses as well as college level algebra. Content is taught through interactive video lectures that include guided practice problems and the associated live action solutions. The curriculum is organized into 2 chapters (sections), containing a total of 24 video lectures that are approximately 10 minutes in length each. The instructor for this course is a certified math instructor with over 10 years of middle school, high school, and college level teaching experience.

The content of this course is included within our comprehensive beginning algebra and advanced algebra courses.

Who is the target audience?
  • Algebra students at all levels
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What Will I Learn?
Add, Subtract, Multiply, and Divide Polynomials
Identify the Greatest Common Factor (GCF)
Perform synthetic division and long division of polynomials
Factor binomials, trinomials, an four term polynomials
View Curriculum
  • A scientific calculator would be helpful, but not required.
Curriculum For This Course
Expand All 26 Lectures Collapse All 26 Lectures 02:45:21
Welcome to Your Course!
1 Lecture 01:31
Welcome to Your Course!
12 Lectures 01:10:03
Introduction to Polynomials

Adding Polynomials

Subtracting Polynomials

Products of Polynomials 1 (Monomial X Monomial)

Products of Polynomials 2 (Monomial X Binomial)

Products of Polynomials 4 (Binomial X Trinomial)

Products of Polynomials 5 (Special Cases)

Division of Polynomials 1 (Monomials)

Division of Polynomials 2 (Polynomial Divided by Monomial)

Long Division of Polynomials

Synthetic Division
13 Lectures 01:33:31
Prime Factorizations

Greatest Common Factor (GCF)

Factoring by Removing a GCF

Factoring by Removing a Binomial GCF

Factoring by Grouping

Factoring Trinomials (Reverse FOIL)

Factoring Binomials (Difference of Squares)

Prime Polynomials

Perfect Square Trinomials

A General Guide for Factoring

Zero Product Rule for Solving Quadratic Equations

Congratulations on Completing Your Course!
About the Instructor
4.7 Average rating
68 Reviews
878 Students
6 Courses
College Instructional Leader: Mathematics and Sciences

I have been using projects, games, cooperative learning, and interactive activities to teach mathematics at the middle school, high school, and college levels for the last 8 years.

I run a highly interactive classroom that promotes student participation and critical thinking. In a typical class period (my class periods are 100 minutes long), I generally limit my speaking time to two-20 minute sessions. These sessions are broken up by class projects, assignments, and explorative activities that engage the students with the material (often in small group settings).

-State of Florida Star teacher award

-2 x teacher of the month (HS)

-Rookie Teacher of the year (HS)

-High School Student Learning Gains 83%-89% each year

-Foundation Grant 2008, 2009, 2011, 2012

-Lockheed Martin Academy Grant 2006-2008

Florida International University (BBA Finance)

University of Central Florida (MA Math Education)

The Florida State University (Institutional Research Graduate Certificate)

Member of Florida Developmental Education Association

State of Florida Teacher Certification 2006-current (exp 2017)

NCTM Member 2006-2008

Intervention Services of Central Florida 2006 (Mentoring at-risk youth)

Student Achievement Initiative Mentor (2000-2002) Mentoring secondary students at-risk for dropping out of school

Project Speak (Suicide Prevention Program) 2010

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