Polynomials

This course is a part of Mathematics II, a 14-course Topic series from Khan Academy.

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

This course contains 12 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 & 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.

Long division of polynomials

Learn how to divide two polynomials using long division.

Synthetic division of polynomials

Learn how to divide polynomials using long division.

Practice dividing polynomials with remainders

After learning about the different methods in which we can find the quotient and the remainder of two polynomials, gain some practice with actually performing polynomial division yourself.