←
Lesson Summary

6.5.7 Lesson Summary

6.5.7 • Lesson Summary

In this lesson, you learned how to:

  • Factor trinomials of the form x 2 + b x + c x 2 + b x + c .
  • Factor trinomials of the form a x 2 + b x + c a x 2 + b x + c using trial and error.
  • Factor trinomials of the form a x 2 + b x + c a x 2 + b x + c using the “ a c a c ” method.
  • Factor using substitution.

Here are the activities that helped you reach those goals:

  • 6.5.1: Undoing FOIL
    • In this activity, you learned the steps used to factor a trinomial by reversing the FOIL method.
  • 6.5.2: Factoring Trinomials with Leading Coefficients of 1
    • In this activity, you learned how to factor any trinomial of the form x 2 + b x + c x 2 + b x + c . By finding the factors of the c c term and checking to see if they add up to the b b term, you are able to find the factors of a trinomial of this form.
    • 6.5.2: Self Check
    • 6.5.2: Additional Resources
  • 6.5.3: Factoring Trinomials Using Trial and Error
    • In this activity, you learned that you sometimes need to factor out the GCF from a trinomial as the first step to factoring. You also learned some tricks to help determine the factors of a trinomial, such as when the middle term is negative and the last term is positive, the signs in the binomial factors must both be negative. You practiced finding the factors of a trinomial of the form a x 2 + b x + c a x 2 + b x + c using a trial and error method.
    • 6.5.3: Self Check
    • 6.5.3: Additional Resources
  • 6.5.4: Factoring Trinomials Using the “ a c a c ” Method and Substitution
    • In this activity, you learned a method that can be used to factor any trinomial, the “ a c a c ” method. By finding two numbers that multiply to a c a c and add to b b , you can factor the trinomial by grouping. You also learned a substitution method that allows you to factor trinomials that do not appear to fit into the a x 2 + b x + c a x 2 + b x + c form at first.
    • 6.5.4: Self Check
    • 6.5.4: Additional Resources
  • 6.5.5: Choosing Your Own Method to Factor Trinomials
    • In this activity, you combined everything you learned in the lesson to choose your own preferred method to factor a trinomial.

After these activities, you completed the following practice:

  • 6.5.6: Practice

Checking In

On a scale of 1 to 5, how confident do you feel about the learning goals of this lesson?

Nice reflection! You learn more when you take the time to reflect on your thinking.