Algebra › Section F · Factoring › Topic F.1
Greatest common factor and grouping
Multiplication builds polynomials up; factoring takes them back apart. Two tools open almost every door — pull out the greatest common factor, and when four terms refuse to share one, pair them up and factor by grouping.
In this topic
- Factoring is un-multiplying
- Finding the greatest common factor
- Factoring out the GCF
- Worked example: factoring a GCF completely
- Taking out a negative GCF
- Four terms: the grouping shape
- Worked example: factoring by grouping
- When the natural pairing fails, rearrange
- GCF first, even inside grouping
- Common mistakes to avoid
- Key takeaways
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