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Series: College Algebra: The Binomial Theorem

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About this Series

  • Lessons: 2
  • Total Time: 0h 21m
  • Use: Watch Online & Download
  • Access Period: Unlimited
  • Created At: 06/23/2009
  • Last Updated At: 07/20/2010

This two part series covers the binomial theorem and binomial coefficients. To start with, Professor Burger reviews binomials. Then, you will learn what the Binomial Theorem is and how and when to apply this formula; used for writing out the powers of a binomial without manually multiplying it out. Additionally, you will learn what the relationship is between the Binomial Theorem and Pascal's triangle and how and when to use Pascal's triangle. To cement this knowledge, you will then work through an example problem by expanding (x+y)^4.

The second lesson in the series answers the question, "How do you find the binomial coefficients appearing in the binomial theorem?" To do so, you'll use the factorial function (denoted as n! and called n-factorial). After walking through this information, you'll learn how to use the binomial coefficient (or binomial theorem). Thus, you'll learn to evaluate 'binomial coefficient n m' or 'n choose m.' Professor Burger also describes the relationship between the binomial coefficients and Pascal's triangle and walks you through an example of how to apply the binomial theorem. He solves (2A-B)^5 using both Pascal's triangle and binomial coefficients to arrive at 32A^5 - 80A^4B + 80A^3B^2 - 40A^2B^3 + 10AB^4 - B^5.

This series is perfect for review for a CLEP test, mid-term, final, summer school, or personal growth!

Taught by Professor Edward Burger, this lesson was selected from a broader, comprehensive course, College Algebra. This course and others are available from Thinkwell, Inc. The full course can be found at http://www.thinkwell.com/student/product/collegealgebra. The full course covers equations and inequalities, relations and functions, polynomial and rational functions, exponential and logarithmic functions, systems of equations, conic sections and a variety of other AP algebra, advanced algebra and Algebra II topics.

About this Author

Thinkwell
Thinkwell
2174 lessons
Joined:
11/13/2008

Founded in 1997, Thinkwell has succeeded in creating "next-generation" textbooks that help students learn and teachers teach. Capitalizing on the power of new technology, Thinkwell products prepare students more effectively for their coursework than any printed textbook can. Thinkwell has assembled a group of talented industry professionals who have shaped the company into the leading provider of technology-based textbooks. For more information about Thinkwell, please visit www.thinkwell.com or visit Thinkwell's Video Lesson Store at http://thinkwell.mindbites.com/.

Thinkwell lessons feature a star-studded cast of outstanding university professors: Edward Burger (Pre-Algebra through...

Lessons Included

Nopic_tan
Funny, effective guy
02/26/2009
~ Silvoir

Lol, the number one sound clip was worth the two bucks.

Anyways, good clip, doesn't waste time and doesn't go too fast.

Below are the descriptions for each of the lessons included in the series:

Supplementary Files: