AII.1d 
The student, given rational, radical, or polynomial expressions, will
d) factor polynomials completely. 

Essential Knowledge and Skills 
 Factor polynomials by applying general patterns including difference of squares, sum and difference of cubes, and perfect square trinomials.
 Factor polynomials completely over the integers.
 Verify polynomial identities including the difference of squares, sum and difference of cubes, and perfect square trinomials. †Revised March 2011

Essential Understandings 
 The complete factorization of polynomials has occurred when each factor is a prime polynomial.
 Pattern recognition can be used to determine complete factorization of a polynomial.


Vertical Articulation 
 SOL A.1  represent verbal quantitative situations algebraically/evaluate expressions for given replacement values of variables

Instructional Materials 
 VDOE ESS Lesson: Factoring  Expressions and Operations (PDF)  Factoring polynomials (Word)
 Notes: Factoring StepByStep Guide (ppt)
 Activity: I Have Who Has (doc)
 Foldable: Factoring Techniques Outline (flipchart)
 Graphic: Factoring Flowchart (doc)

Real World Lessons 

Practice 
 Worksheet: Factoring 4 Terms Practice (doc)
 Journaling: Factoring Discussion Questions (doc)

SelfAssessments 

Skills 

Videos 
 PH Factoring a fourterm Polynomial by Grouping
 PH Factoring Trinomials by Grouping

Explore
Learning 
 Factoring Special Products  Choose the correct steps to factor a polynomial involving perfectsquare binomials, differences of squares, or constant factors. Use the feedback to diagnose incorrect steps.
 Modeling the Factorization of x^2+bx+c  Factor a polynomial with a leading coefficient equal to 1 using an area model. Use step‑by‑step feedback to diagnose any mistakes.
 Modeling the Factorization of ax^2+bx+c  Factor a polynomial with a leading coefficient greater than 1 using an area model. Use stepbystep feedback to diagnose any mistakes.

Websites 
 Interactive Notes: Factoring  lessons and practice problems from Regentsprep.org

Common Core
Standards 
ASSE.2 
AAPR.2 
AAPR.4 
AAPR.6 
AAPR.7 
FIF.8a 
