The Binomial Theorem

Primary tabs

Lesson Summary: 
The Binomial Theorem is a formula for determining the answer to (x+y)n.
Lesson Inputs: 
The Factorial Function

SAMPLE LESSON

Sign in for easy to read lessons narrowly focused on a specific subject. All lessons are linked to each other allowing you to easily see the connections between different Calculus concepts. Our unique Calcmap will give you a bird's-eye view of all our lessons and help you see how important concepts are related to each other. All of the formulas are available to our subscribers, but here is a sample of the lesson you will see when you log in:



Lesson: 

The Binomial Theorem is a formula for determining the answer to <Sign in to see all the formulas> where n is an integer and x and y are real numbers. It states that

<Sign in to see all the formulas>


where each <Sign in to see all the formulas> is a positive integer called a Binomial Coefficient.

The formula for the Binomial Coefficient is

<Sign in to see all the formulas>

where the ! denotes the Factorial Function. Finally, we use the language "n choose j" to refer to the Binomial Coefficent <Sign in to see all the formulas>.