How to Factor Trinomials When a ≠ 1 (No Guessing Needed)

by | Jun 16, 2025

Factoring trinomials is one of the first major stumbling blocks in Algebra 1.
Especially when the equation looks like this:

6x² + 7x + 2

Many students get stuck here — and for good reason. The easy shortcut they learned when the first number is 1 doesn’t work anymore.

That’s why in this short video, I walk through the no-guess method we teach in our Algebra 1 course (based on Harold Jacobs’ book).

We’ll cover:

  • The simple step that makes factoring predictable
  • Why the order of your middle terms matters
  • How to tell if your grouping is correct

📽️ Watch the 4-minute tutorial here: 👉

This method is straight from Chapter 11 of Harold Jacobs’ Elementary Algebra — and we teach it in-depth in our full course.

If your student is working through Algebra and getting stuck, our Jacobs-based program might be the structure and clarity they need. Bonus – our online courses come with FREE Homework Help. Email us with your specific homework questions.

🎓 Explore the full course → Algebra 1
📄 Grab our free GPA calculator → AskDrCallahan Free Resources

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Written By Lea

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