+
Binomial Theorem

Binomial Theorem

Rating:
Rating
(0)
Author: Shirley Beil
See More

Try Our College Algebra Course. For FREE.

Sophia’s self-paced online courses are a great way to save time and money as you earn credits eligible for transfer to over 2,000 colleges and universities.*

Begin Free Trial
No credit card required

25 Sophia partners guarantee credit transfer.

221 Institutions have accepted or given pre-approval for credit transfer.

* The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 20 of Sophia’s online courses. More than 2,000 colleges and universities consider ACE CREDIT recommendations in determining the applicability to their course and degree programs.

Tutorial

The following video will be available with closed captioning at:

http://youtu.be/85g6YVb4_po

Calculating a Binomial Coefficient Using the Factorial Definition

The following video will be available with closed captioning at:

http://youtu.be/sEm5O9_OBNg

Using Pascal's Triangle to Expand a Binomial Power

Caution - In the last step of the third problem I multiplied 3x35 and got 115 instead of 105. Therefore, the 4th term in the expansion should have been 105sqrt(3). The simplified form of the final expansion should be 568+328sqrt(3)

The following video will be available with closed captioning at:

http://youtu.be/wp8QTJUoJzk

Binomial Expansions Using the Binomial Theorem

Note that the terms in the first expansion alternate from positive to negative! Terms 2, 4, and 6 have negative coefficients (I said terms 2,3, and 4).
Also in the third example I say that "we will be subtracting h" when I should have said "we will be dividing by h".

The following video will be available with closed captioning at:

http://youtu.be/TbT6Ah0sBag

Finding Specific Terms in a Binomial Expansion