Dividing Polynomials

A series of free, online Basic Algebra Lessons.

In this lesson, we will learn

  • how to divide a polynomial by a monomial
  • how to divide a polynomial by a binomial

 

 

Dividing Polynomials

Long division can be used to divide a polynomial by another polynomial, in this case a binomial of lower degree. When dividing polynomials, we set up the problem the same way as any long division problem, but are careful of terms with zero coefficients. For example, in the polynomial x3 + 3x + 1, x2 has a coefficient of zero and needs to be included as x3+ 0x2+3x+1in the division problem.

Polynomial Division: Dividing by a Monomial

 

 

Polynomial Division: Long Division, Dividing by a binomial

 

 

This video provides two basic examples of how to divide a degree two trinomial by a degree one binomial.

 

 

This video provides an example of how to perform long division by dividing a degree three polynomial by a degree one binomial. There are no missing terms in the dividend. The quotient has a remainder.

 

 

This video provides an example of how to perform long division by dividing a degree three polynomial by a degree one binomial. There are missing terms in the dividend. The quotient has fractional coefficients and there is a remainder.

 

 

This video provides an example of how to perform long division by dividing a degree three polynomial by a degree two binomial. The quotient has a remainder.

 

 

 

Custom Search

 

We welcome your feedback, comments and questions about this site - please submit your feedback via our Feedback page.

 

© Copyright 2005, 2012 - onlinemathlearning.com
Embedded content, if any, are copyrights of their respective owners.


Useful Links:
More Geometry Help on MathWorld

 

 

   

 

Custom Search