Algebra 2 Online!
Henrico County Public Schools, Virginia
Expressions and Operations

Equations and Inequalities

Functions

Statistics

SOL Review Materials
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
  1. SOL A.1 - represent verbal quantitative situations algebraically/evaluate expressions for given replacement values of variables
Instructional Materials
  1. VDOE ESS Lesson: Factoring - Expressions and Operations (PDF) - Factoring polynomials (Word)
  2. Notes: Factoring Step-By-Step Guide (ppt)
  3. Foldable: Factoring Techniques Outline (flipchart)
  4. Graphic: Factoring Flowchart (doc)
Real World Lessons
Practice
  1. VDOE ESS: Factor Patterns Worksheet (pdf)
  2. VDOE ESS: Factor, Factor, Factor! Worksheet (pdf)
  3. Worksheet: Basic Factoring Practice (pdf)
  4. Worksheet: Combined Factoring Practice (pdf)
  5. Worksheet: Factoring Practice - Combined with Rigor (doc)
  6. Worksheet: Factoring Tarsia Puzzle (pdf)
  7. Journaling: Factoring Discussion Questions (doc)
Self-Assessments
  1. SOL Mini-Quiz: AII.1d - Factoring Trinomials
Skills
  1. JMU Pivotal Question: Factoring Polynomials (doc)
Videos
  1. Factoring Trinomials with Leading Coefficient of 1
    1. Video: PH Factoring Trinomials of the Type x^2 + bx + c (where b is positive)
    2. Video: PH Factoring Trinomials of the Type x^2 - bx + c (where b is negative)
    3. Video: PH Factoring Trinomials of the Type x^2 + bx – c (where c is negative)
    4. Video: PH Factoring Perfect Square Trinomials
  2. Factoring Trinomials with Leading Coefficient not equal (≠) to 1
    1. Video: PH Factoring Trinomials of the Type ax^2 + bx + c (where c is positive)
    2. Video: PH Factoring Trinomials of the Type ax^2 + bx - c (where c is negative)
    3. Factoring perfect square trinomials with a ≠ 1
  3. Video: PH Factoring Perfect Square Trinomials with a = 1
  4. Video: PH Factoring perfect square trinomials with a ≠ 1
  5. Video: PH Factoring Trinomials with Two Variables
  6. Video: PH Real World Factoring Problems
Explore Learning
  1. Factoring Special Products - Choose the correct steps to factor a polynomial involving perfect-square binomials, differences of squares, or constant factors. Use the feedback to diagnose incorrect steps.
  2. 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.
  3. Modeling the Factorization of ax^2+bx+c - Factor a polynomial with a leading coefficient greater than 1 using an area model. Use step-by-step feedback to diagnose any mistakes.
Websites
  1. Interactive Notes: Factoring - lessons and practice problems from Regentsprep.org
  2. Interactive Notes: Factoring - notes and quiz on factoring trinomials at Math for Morons
  3. Notes: Factoring Quadratics - notes on factoring trinomials at Purplemath.com
Common Core Standards
A-SSE.2
A-APR.2
A-APR.4
A-APR.6
A-APR.7
F-IF.8a