Algebra › Section F · Factoring › Topic F.2
Factoring trinomials
Every trinomial that factors came from multiplying two binomials - so factoring is reading the pattern backwards. Find the two hidden numbers, and the product reappears.
In this topic
- Reading the pattern backwards
- The sign rules
- Worked example: leading coefficient 1
- Worked example: the negative-constant case
- The AC method: when the leading coefficient is not 1
- Worked example: AC method with a negative middle
- Trial and error as an alternative
- Perfect-square trinomials: skip the hunt
- When a trinomial is prime
- Common mistakes to avoid
- Key takeaways
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