Algebra 1 Online!
Henrico County Public Schools, Virginia
 Home Pacing - Middle School Pacing - High School SOL Tracker Algebra 1 Standards Virginia Department of Education Return to HCPS Math Courses
 Expressions and Operations Equations and Inequalities Functions Statistics SOL Review Materials Frequently Asked Questions
A.2c
The student will perform operations on polynomials, including
c)   factoring completely first- and second-degree binomials and trinomials in one or two variables. Graphing calculators will be used as a tool for factoring and for confirming algebraic factorizations.

 Essential Knowledge and Skills Factor completely first- and second-degree polynomials with integral coefficients. Identify prime polynomials. Use the x-intercepts from the graphical representation of the polynomial to determine and confirm its factors. Essential Understandings Factoring reverses polynomial multiplication. Some polynomials are prime polynomials and cannot be factored over the set of real numbers. Polynomial expressions can be used to define functions and these functions can be represented graphically. There is a relationship between the factors of any polynomial and the x-intercepts of the graph of its related function.
Vertical Articulation
1. SOL 7.16 - apply properties w/ real numbers: a) commutative and associative properties for add/multi; b) distributive property; c) add/multi identity properties; d) add/multi inverse properties; e) multi property of zero
2. SOL 8.15 - c) identify properties of operations used to solve equations
3. SOL AII.3 - perform operations on complex numbers/express results in simplest form using patterns of the powers of i, identify field properties for complex numbers
Instructional Materials
1. VDOE ESS Lesson: Factoring - Expressions and Operations (PDF) - Factoring polynomials (Word)
2. Notes: Factoring Using GCF with Zero Product Property Intro (ppt)
3. Notes: Factoring Using GCF (doc) | Teacher Key (pdf)
4. Activity: Illuminations - Factoring with Algetiles - select Factor tab
Real World Lessons
Practice
Self-Assessments
Skills
Videos
Explore Learning
1. 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.
Websites
1. Interactive Notes: Factoring - lessons and practice problems from Regentsprep.org
2. ExamView Quiz: Factoring GCF
3. Prentice Hall Quiz