Binomial Theorem and Pascal's Triangle
Examples, videos, worksheets, games, and activities to help Algebra II students learn about the Binomial Theorem and the Pascal’s Triangle.
Pascal’s Triangle
Pascal’s triangle is a geometric arrangement of the binomial coefficients in the shape of a triangle. In Pascal’s triangle, each number in the triangle is the sum of the two digits directly above it. In Algebra II, we can use the binomial coefficients in Pascal’s triangle to raise a polynomial to a certain power.
Binomial Expansion Using Pascal’s Triangle
This video explains binomial expansion using Pascal’s triangle.
How to use Pascal’s triangle?
Pascal’s Triangle and the Binomial Coefficients
This video shows how to use Pascal’s Triangle to quickly compute the binomial coefficients.
Binomial Theorem
In Algebra II, the binomial theorem describes the explanation of powers of a binomial. When expanding a binomial, the coefficients in the resulting expression are known as binomial coefficients and are the same as the numbers in Pascal’s triangle. By using the binomial theorem and determining the resulting coefficients, we can easily raise a polynomial to a certain power.
This video shows how to expand the Binomial Theorem, and does one example using it.
The Binomial Theorem - Example 2
This video shows a slightly harder example expanding using the Binomial Theorem.
Introduction to raising (a+b)n
Binomial Theorem and Pascal’s Triangle
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