How Do You Do Long Division With Polynomials?

Note:

Dividing polynomials? Use long division! Follow along as this tutorial shows you how to perform long division with polynomial. Check it out!

Keywords:

problem
polynomials
division
long division
dividend
divisor
partial dividend

Background Tutorials

Fractions
- What's a Numerator and What's A Denominator?
  
  Numerators and denominators are the key ingredients that make fractions, so if you want to work with fractions, you have to know what numerators and denominators are. Lucky for you, this tutorial will teach you some great tricks for remembering what numerators and denominators are all about.
Polynomial Definitions
- What is a Polynomial?
  
  If you learn about algebra, then you'll see polynomials everywhere! In this tutorial, you'll learn the definition of a polynomial and see some of the common names for certain polynomials.
Dividing Integers
- How Do You Do Long Division?
  
  We know that calculators are everywhere, but that doesn't mean that long division isn't important! Sometimes you won't be allowed to use a calculator, and when those times occur, you'll be thankful that you watched this video!
Using the Distributive Property
- How Do You Use the Distributive Property to Simplify an Expression?
  
  In this tutorial you'll see how to apply the distributive property. Remember that this is important when you are trying to simplify an expression and get rid of parentheses!
Simplifying Expressions
- What's a Term?
  
  Polynomials are those expressions that have variables raised to all sorts of powers and multiplied by all types of numbers. When you work with polynomials you need to know a bit of vocabulary, and one of the words you need to feel comfortable with is 'term'. So check out this tutorial, where you'll learn exactly what a 'term' in a polynomial is all about.
Dividing Rational Expressions
- What's a Quotient?
  
  When you divide one number by another, the result is called the quotient. This is true for rational expressions too! When you divide one rational expression by another, the result is called the quotient. This tutorial defines the quotient of a rational expression and shows you an example. Take a look!
- What's a Dividend in a Rational Expression?
  
  In division, the number that is being divided is called the dividend. The same thing is true if you're working with expressions instead of numbers! Learn more about dividends in this tutorial.
Long Division with Polynomials
- What's a Partial Dividend?
  
  A dividend is the number or expression that is being divided, but what is a partial dividend? Figure it out by watching this tutorial!
Simplifying Rational Expressions
- How Do You Divide Monomials Using the Greatest Common Factor?
  
  Simplifying a rational expression? You could divide the numerator and denominator by the greatest common factor (GCF). In this tutorial, you'll learn what you need to do to simplify a rational expression by factoring out the GCF!