Factoring by Grouping (Part 3)
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Lesson Summary:
In this lesson, we review factoring by grouping for polynomials with four terms and more complex quadratics. The method of grouping involves grouping the first two terms and the last two terms, factoring each group separately using the greatest common factor, and then factoring out what's in common. We also learn a trick method for finding the fourth term in a quadratic before using grouping. This is the third method covered in this lesson, along with greatest common factor and simple quadratics. Stay tuned for special cases in the next lesson.
Lesson Description:
A review of factoring polynomials by grouping.
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:
- How do you factor polynomials by grouping?
- How do you know when to factor by grouping?
- How do you factor 4ab + 2a + 6b + 3?
- How do you factor a trinomial like 6x^2 + 7x - 3 by grouping?
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Staff Review
This final method of factoring by grouping is possibly the most useful and interesting method. It is also usually confusing because there are multiple steps toward getting the final answer. This is a great tutorial on factoring polynomials with either 3 or 4 terms by grouping.
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