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:
Move all cards to the foundations to build four full sequences. There are two versions here: Penguin (Tuxedo) and Penguin (Original).
Sawayama Solitaire:
This is similar to the common Klondike Solitaire except for a few changes to make it more strategic.
Check out more Solitaire games here.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.