Grouping
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Meets NCTM Standards:
Lesson Summary:
In this lesson on grouping, the teacher explains the fourth method of factoring and how it can be used to factor a fourth term polynomial by breaking it down into two groups of two. The common factors can then be factored out and distributed to form two binomials that can be verified to give the original question. The teacher also explains how this method can be applied to a six term polynomial by breaking it down into three groups of two or two groups of three.
Lesson Description:
The Grouping factoring method.
Additional Resources:
- Factoring by grouping method - An explanation of the method of factoring a polynomial by grouping.
- Factoring by grouping problems - Several practice problems for factoring polynomials by grouping including the solutions and explanations.
Questions answered by this video:
- What is factoring by grouping?
- How do you factor a polynomial with four terms?
- How do you factor 3ax + a - 6bx - 2b by grouping?
- How do you factor a polynomial with six terms?
- How do you factor ax - 2bx - 3x + ay - 2by - 3y by grouping?
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Staff Review
This lesson only shows solutions to two problems, but this method of factoring by grouping is essential to learning how to factor complex trinomials. This tutorial is critical to learn.
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