The Binomial Theorem

A series of free, online Intermediate Algebra Lessons or Algebra II lessons.
Videos, worksheets, and activities to help Algebra students.

In this video, we will learn

• how to use the Pascal’s Triangle
• how to use the Binomial Theorem and Pascal’s Triangle to expand a binomial expression

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.
How to use Pascal’s triangle.

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 explains binomial expansion using Pascal’s triangle.

Expanding Binomial Expressions with Pascal’s Triangle (Part 1)

• Show Step-by-step Solutions

Expanding Binomial Expressions with Pascal’s Triangle (Part 2)

• Show Step-by-step Solutions

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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