Algebra › Section F · Factoring › Topic F.4

A general factoring strategy

You know the tools - GCF, grouping, trinomial hunts, special patterns. The strategy is the routing table that sends any polynomial to the right one, in the right order, until nothing is left to factor.

In this topic

  • The strategy in one breath
  • Step zero: the greatest common factor
  • The routing question: how many terms?
  • Two-term routing in detail
  • Three-term routing in detail
  • Four-term routing: grouping
  • Factoring completely: the second pass
  • Worked example: the full checklist
  • Worked example: GCF hiding a cube
  • Common mistakes to avoid
  • Key takeaways

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