Learning Objectives
At the end of this lesson, students will be able to:
 Factor out a common binomial.
 Factor by grouping.
 Factor a quadratic trinomial where .
 Solve realworld problems using polynomial equation.
Vocabulary
Terms introduced in this lesson:

factoring strategy

factor completely

recognize special products

common monomial

factor by grouping
Teaching Strategies and Tips
Have students learn the four strategies for completely factoring a polynomial provided in the introduction.
Use Examples 35 to show a new factoring technique called “factoring by grouping.”
Knowing when a polynomial is completely factored may be difficult to some students. Suggest that they check each factor to see if it can be factored any more. For example, a polynomial such as is not completely factored.
Factoring is easier when the leading term has a positive coefficient. Suggest that students include the negative as part of the GCF right in the beginning.
Error Troubleshooting
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