<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
Dismiss
Skip Navigation

9.7: Factoring Polynomials Completely

Difficulty Level: At Grade Created by: CK-12
Turn In

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 a1.
  • 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 (x24)(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.

Error Troubleshooting

NONE

Notes/Highlights Having trouble? Report an issue.

Color Highlighted Text Notes
Please to create your own Highlights / Notes
Show More

Image Attributions

Show Hide Details
Files can only be attached to the latest version of section
Please wait...
Please wait...
Image Detail
Sizes: Medium | Original
 
CK.MAT.ENG.TE.1.Algebra-I.9.7
Here