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

9.7: Factoring Polynomials Completely

Created by: CK-12
 0  0  0

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.

Error Troubleshooting

NONE

Image Attributions

Files can only be attached to the latest version of None

Reviews

Please wait...
Please wait...
Image Detail
Sizes: Medium | Original
 
CK.MAT.ENG.TE.1.Algebra-I.9.7
ShareThis Copy and Paste

Original text