Khan Academy: Polynomials: Intro to the Binomial Theorem

In this video on the Binomial Theorem, Sal tries to give an intuition behind why combinations are part of its definition. By looking at the expansion of (a + b)3 and carefully looking at where each value originates from, one can see how...

In this video, the Binomial Theorem is defined and used to expand (a + b) 4.

Sal shows two ways to calculate the coefficients of a binomial expansion quickly. The first method shows the relationship between PascalÕs triangle and the coefficients, and the second method shows an even faster way to write the...

Sal shows two ways to quickly calculate the coefficients of a binomial expansion. With the first method, he shows the relationship between PascalÕs triangle and the coefficients, and in the second method, he shows an even faster way for...

A comprehensive lesson that explores and researches Pascal's triangle and relates its properties to the Binomial Theorem through a variety of lessons. Have the class practice expanding polynomials using the theorem. A few other formulas...

Sal introduces Pascal's triangle and shows how we can use it to figure out the coefficients in binomial expansions. [8:19]

This video tutorial [8:35] identifies the parts of a right triangle and demonstrates how to use the Pythagorean Theorem to determine an unknown side length of a right triangle.

Use the Binomial Theorem to expand integer powers of binomial expressions. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.

Video explaining why we use the combinatorial formula for (n choose k) to expand binomial expressions. [11:58]

Sal expands (3y^2+6x^3)^5 using the binomial theorem and Pascal's triangle. [8:41]