Binomial Theorem
Related Topics:
Common Core (Algebra)
Common Core for Mathematics
Examples, videos, solutions, and lessons to help High School students know and apply the Binomial Theorem for the expansion of (x + y)n in powers ofx and y for a positive integer n, where x and y are any numbers, with coefficients determined for example by Pascal’s Triangle.
Suggested Learning Targets
- For small values of n, use Pascal’s Triangle to determine the coefficients of the binomial expansion.
- Use the Binomial Theorem to find the nth term in the expansion of a binomial to a positive power.
Common Core: HSA-APR.C.5
Using Pascal’s Triangle
Binomial Expansion Using Pascal’s Triangle
This video explains binomial expansion using Pascal’s triangle.
(x + 3)4
Ex 1: The Binomial Theorem Using Pascal’s Triangle
This provides a basic example of how to expand a binomial raised to a power using the binomial theorem. The combinations are evaluated using Pascal’s Triangle.
(x - 4)5
Ex 2: The Binomial Theorem Using Pascal’s Triangle
This provides a basic example of how to expand a binomial raised to a power using the binomial theorem. The combinations are evaluated using Pascal’s Triangle.
(5x - 2)4
Ex 3: The Binomial Theorem Using Pascal’s Triangle
This provides a basic example of how to expand a binomial raised to a power using the binomial theorem. The combinations are evaluated using Pascal’s Triangle.
(2x - 3y2)4
Using Combinations
The Binomial Theorem using Combination
This video shows how to apply the binomial theorem.
(x + 3)4
Ex 1: The Binomial Theorem Using Combinations
This provides a basic example of how to expand a binomial raised to a power using the binomial theorem.
(x + 2)5
Ex 2: The Binomial Theorem Using Combinations
This provides a basic example of how to expand a binomial raised to a power using the binomial theorem.
(2x - 3)4
Ex 3: The Binomial Theorem Using Combinations
This provides a basic example of how to expand a binomial raised to a power using the binomial theorem.
(3x2 - 5y)4
Check out our most popular games!
Fraction Concoction Game:
Master fractions in the lab: mix, add, and subtract beakers to create the perfect concoction!
Fact Family Game:
Complete fact families and master the link between addition & subtraction and multiplication & division.
Number Bond Garden:
Clear the board by matching number pairs that sum to ten in this garden-themed mental math puzzle.
Online Addition Subtraction Game:
Practice your addition and subtraction skills to help the penguin find its mummy.
Penguin Solitaire
Penguin Solitaire is a fun game that aims to move all cards to the foundations to build four full sequences. There are two versions here: Penguin (Tuxedo) and Penguin (Original).
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.