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

6.4.7 Lesson Summary

Algebra 16.4.7 Lesson Summary

Search for key terms or text.

In this lesson, you learned how to:

  • Find the greatest common factor of two or more expressions.
  • Factor the greatest common factor from a polynomial.
  • Factor by grouping.

Here are the activities that helped you reach those goals:

  • 6.4.1: Finding Factors
    • In this activity, you reviewed how to find the factors of a number, monomial, or group of terms. This is an important skill used in factoring polynomials later in the lesson.
  • 6.4.2: Finding the GCF of Two or More Expressions
    • In this activity, you found all the factors of two or more expressions and used that list to find their greatest common factor.
    • 6.4.2: Self Check
    • 6.4.2: Additional Resources
  • 6.4.3: Factoring the GCF from Polynomials
    • In this activity, you found the GCF of two or more expressions and then factored it out of those terms using the “reverse” of the Distributive Property.
    • 6.4.3: Self Check
    • 6.4.3: Additional Resources
  • 6.4.4: Factoring Polynomials by Grouping
    • In this activity, you recognized terms in an expression that shared factors and grouped them together to factor the polynomial.
    • 6.4.4: Self Check
    • 6.4.4: Additional Resources
  • 6.4.5: Can you Factor the Polynomial?
    • In this activity, you used everything you learned in the lesson to determine if polynomials can be factored.

After these activities, you completed the following practice:

  • 6.4.6: 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.