At the end of this lesson, students will be able to:
- Factor out a common binomial.
- Factor by grouping.
- Factor a quadratic trinomial where a≠1.
- Solve real-world problems using polynomial equation.
Terms introduced in this lesson:
recognize special products
factor by grouping
Teaching Strategies and Tips
Have students learn the four strategies for completely factoring a polynomial provided in the introduction.
Use Examples 3-5 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 (x2−4)(x2+1) 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.