Skip to ContentGo to accessibility pageKeyboard shortcuts menu
OpenStax Logo
Algebra 1

6.3.7 Lesson Summary

Algebra 16.3.7 Lesson Summary

Search for key terms or text.

In this lesson, you learned how to:

  • Divide monomials.
  • Divide a polynomial by a monomial.
  • Divide polynomials using long division.
  • Divide polynomials using synthetic division.
  • Divide polynomial functions.
  • Use the Remainder and Factor Theorems.

Here are the activities that helped you reach those goals:

  • 6.3.1: Dividing by Monomials
    • In this activity, you used the properties of exponents to divide monomials by monomials. You also used distributed division to divide polynomials by monomials.
  • 6.3.2: Dividing Polynomials Using Long Division
    • IIn this activity, you used long division, in the same way as with constants, to divide polynomials by binomials. You also learned how to interpret a remainder in these division problems.
    • 6.3.2: Self Check
    • 6.3.2: Additional Resources
  • 6.3.3: Dividing Polynomials Using Synthetic Division
    • In this activity, you learned a quicker, more efficient method to divide polynomials by binomials.
    • 6.3.3: Self Check
    • 6.3.3: Additional Resources
  • 6.3.4: Dividing Polynomial Functions and the Remainder Theorem
    • In this activity, you divided polynomials in function form. You also learned an efficient way to determine the remainder in polynomial division. This can be used as an additional check for polynomial division problems.
    • 6.3.4: Self Check
    • 6.3.4: Additional Resources
  • 6.3.5: Using the Factor Theorem
    • In this activity, you found a method to determine if a binomial of the form xcxc is a factor in a larger polynomial.

After these activities, you completed the following practice:

  • 6.3.6: Practice

Checking In

On a scale of 1 to 5, how confident do you feel about the learning goals of this lesson?

Citation/Attribution

This book may not be used in the training of large language models or otherwise be ingested into large language models or generative AI offerings without OpenStax's permission.

Want to cite, share, or modify this book? This book uses the Creative Commons Attribution-NonCommercial-ShareAlike License and you must attribute OpenStax.

Attribution information
  • If you are redistributing all or part of this book in a print format, then you must include on every physical page the following attribution:

    Access for free at https://openstax.org/books/algebra-1/pages/about-this-course

  • If you are redistributing all or part of this book in a digital format, then you must include on every digital page view the following attribution:

    Access for free at https://openstax.org/books/algebra-1/pages/about-this-course

Citation information

© May 21, 2025 OpenStax. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike License . The OpenStax name, OpenStax logo, OpenStax book covers, OpenStax CNX name, and OpenStax CNX logo are not subject to the Creative Commons license and may not be reproduced without the prior and express written consent of Rice University.