<meta http-equiv="refresh" content="1; url=/nojavascript/"> Factoring Polynomials Completely | CK-12 Foundation
You are reading an older version of this FlexBook® textbook: Algebra I Teacher's Edition Go to the latest version.

9.7: Factoring Polynomials Completely

Created by: CK-12

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 $a \neq 1$.
• Solve real-world 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 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 $(x^2 - 4)(x^2 + 1)$ 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.

NONE

Date Created:

Feb 22, 2012

Apr 29, 2014
You can only attach files to None which belong to you
If you would like to associate files with this None, please make a copy first.