Binomial Theorem

Definition of Binomial Theorem

  • Binomial Theorem is used to expand powers of binomials.

It states that :

Binomial Theorem also finds the coefficient of a term in the expansion.

                            

Examples of Binomial Theorem

The power of the binomial x + 4 is distributed using binomial theorem.

                           

Solved Example on Binomial Theorem

Find the coefficient of in the expansion of .

Choices:

A. 1

B. 0

C. 3

D. -1

Correct Answer: A

Solution:

Step 1:   Expand using binomial theorem, we get .

Step 2: The coefficient of in the above expansion is 1.

             

Related Terms for Binomial Theorem

  • Binomial

               

Additional Links for Binomial Theorem