Binomial Theorem Summary

The Binomial Theorem

Summary

an expression such as (2x + 3) is called a binomial.

expanding an expression such as (2x + 3)7 is called a binomial expansion.

the binomial theorem is a formula for carrying out such an expansion without having to multiply it out.

an understanding of the basics of combinations, permutations and factorials is required to fully understand binomial coefficients.

 

Key Skills
  • expand a binomial to a positive power
  • find a specific term of an expansion using the general term
  • solve basic problems involving permutations, combinations and factorials

Vocabulary

binomial expansion, binomial theorem, binomial coefficient,expression, factorial, combination, permutation, element, exponent,coefficient.