Polynomials

Heads up! This course may be archived and/or unavailable.

This course is a part of Algebra I, a 21-course Topic series from Khan Academy.

Learn how to add, subtract, and multiply polynomial expressions. For example, write (2x+3)(x-1) as 2x²+x-3.

This course contains 9 segments:

Intro to polynomials

Learn about polynomial expressions: What are they? How are they constructed? What can we do with them?

Adding & subtracting polynomials

Learn how to add and subtract polynomial expressions with one variable.

Adding and subtracting polynomials: two variables

Learn how to add and subtract polynomial that involve two variables. For example, x^3 + xy + 3y - (x^3 + 6xy + 2y^2).

Multiplying monomials

As an intro to more elaborate polynomial multiplication, learn how to multiply monomials (which are polynomials with a single term). For example, multiply 2x³ and 5x⁷.

Multiplying monomials by polynomials

Learn how to multiply a polynomial expression by a monomial expression. Monomials are just polynomials with a single term!

Multiplying binomials

Learn how to multiply two binomials together. For example, (3x - 7) * (10x + 2).

Multiplying binomials by polynomials

Learn how to multiply a polynomial expression by a binomial expression.

Special products of binomials

Learn about the special types of products of binomials: perfect squares and the difference of two squares. These will be very helpful once you tackle more advanced expressions in Algebra.

Polynomials word problems

See a few examples of how we can represent real-world situations with polynomials.