I.1. Adding and Subtracting Polynomials

1. I.1.M. Play Multiplayer 0 wins, 0 losses

2. I.1.Q. Unit Challenge

3. I.1.1. Identifying and Classifying Monomials

   1. I.1.1.O. Overview
   2. I.1.1.1. Determining if the Given Term is a Monomial
   3. I.1.1.2. Classifying Monomials by the Number of Degrees

4. I.1.2. Identifying and Classifying Polynomials

   1. I.1.2.O. Overview
   2. I.1.2.1. Determining if the Given Term is a Polynomial
   3. I.1.2.2. Classifying Polynomials by the Number of Terms
   4. I.1.2.3. Classifying Polynomials by the Number of Terms and Degrees
   5. I.1.2.4. Rewriting Polynomials in Ascending or Descending Order by Degree

5. I.1.3. Adding Polynomials

   1. I.1.3.O. Overview
   2. I.1.3.1. Adding Two Polynomials Horizontally
   3. I.1.3.2. Adding Two Polynomials Vertically
   4. I.1.3.3. Solving Word Problems Involving Polynomial Addition

6. I.1.4. Subtracting Polynomials

   1. I.1.4.O. Overview
   2. I.1.4.1. Subtracting Two Polynomials Horizontally
   3. I.1.4.2. Subtracting Two Polynomials Vertically
   4. I.1.4.3. Solving Word Problems Involving Polynomial Subtraction

I.2. Multiplying Polynomials

1. I.2.M. Play Multiplayer 0 wins, 0 losses

2. I.2.Q. Unit Challenge

3. I.2.1. Multiplying a Monomial with a Polynomial

   1. I.2.1.O. Overview
   2. I.2.1.1. Multiplying a Monomial with a Polynomial by Distributing

4. I.2.2. Multiplying Two Binomials

   1. I.2.2.O. Overview
   2. I.2.2.1. Multiplying Two Binomials by Distributing
   3. I.2.2.2. Multiplying Two Binomials by the Box Method

5. I.2.3. Multiplying Two Polynomials

   1. I.2.3.O. Overview
   2. I.2.3.1. Multiplying Two Polynomials by Distributing

6. I.2.4. Simplifying Expressions with Polynomials

   1. I.2.4.O. Overview
   2. I.2.4.1. Simplifying Expressions Involving Polynomial Multiplication and Addition
   3. I.2.4.2. Simplifying Expressions Involving Polynomial Multiplication and Subtraction

7. I.2.5. Solving Problems Involving Polynomial Multiplication

   1. I.2.5.O. Overview
   2. I.2.5.1. Solving Geometric Area Problems Involving Polynomial Multiplication

I.3. Finding Special Products of Polynomials

1. I.3.M. Play Multiplayer 0 wins, 0 losses

2. I.3.Q. Unit Challenge

3. I.3.1. Square of a Binomial Pattern

   1. I.3.1.O. Overview
   2. I.3.1.1. Using the Square of a Binomial Pattern of the Form (a + b)²
   3. I.3.1.2. Using the Square of a Binomial Pattern of the Form (a – b)²

4. I.3.2. Sum and Difference Pattern

   1. I.3.2.O. Overview
   2. I.3.2.1. Using the Sum and Difference Pattern of the Form (a + b)(a – b)
   3. I.3.2.2. Using the Sum and Difference Pattern to Find the Product of Two Numbers Mentally

I.4. Solving Polynomial Equations in Factored Form

1. I.4.M. Play Multiplayer 0 wins, 0 losses

2. I.4.Q. Unit Challenge

3. I.4.1. Zero-Product Property

   1. I.4.1.O. Overview
   2. I.4.1.1. Using the Zero-Product Property Given the Product of a Monomial and a Binomial
   3. I.4.1.2. Using the Zero-Product Property Given the Product of Two Binomials

4. I.4.2. Factoring Polynomials by Removing the GCF

   1. I.4.2.O. Overview
   2. I.4.2.1. Finding the GCF Given a Polynomial
   3. I.4.2.2. Factoring out the GCF Given a Polynomial

5. I.4.3. Solving Equations by Factoring

   1. I.4.3.O. Overview
   2. I.4.3.1. Solving an Equation by Factoring out the GCF
   3. I.4.3.2. Solving an Equation by Rearranging Terms and Factoring out the GCF

I.5. Factoring x² + bx + c Trinomials

1. I.5.M. Play Multiplayer 0 wins, 0 losses

2. I.5.Q. Unit Challenge

3. I.5.1. Factoring x² + bx + c Trinomials

   1. I.5.1.O. Overview
   2. I.5.1.1. Factoring x² + bx + c Trinomials (b and c are positive)
   3. I.5.1.2. Factoring x2 + bx + c Trinomials (b and c are negative)
   4. I.5.1.3. Factoring x² + bx + c Trinomials (b is negative and c is positive)
   5. I.5.1.4. Factoring x² + bx + c Trinomials (b is positive and c is negative)

4. I.5.2. Solving Equations by Factoring x² + bx + c Trinomials

   1. I.5.2.O. Overview
   2. I.5.2.1. Solving Equations by Factoring x² + bx + c Trinomials
   3. I.5.2.2. Solving Equations by Rearranging and Factoring x² + bx + c Trinomials
   4. I.5.2.3. Solving Equations by Simplifying, Rearranging and Factoring x² + bx + c Trinomials

5. I.5.3. Solving Problems by Factoring x² + bx + c Trinomials

   1. I.5.3.O. Overview
   2. I.5.3.1. Solving Geometric Problems by Factoring x² + bx + c Trinomials

I.6. Factoring ax² + bx + c Trinomials

1. I.6.M. Play Multiplayer 0 wins, 0 losses

2. I.6.Q. Unit Challenge

3. I.6.1. Factoring ax² + bx + c Trinomials (a is positive)

   1. I.6.1.O. Overview
   2. I.6.1.1. Factoring ax² + bx + c Trinomials (b and c are positive)
   3. I.6.1.2. Factoring ax² + bx + c Trinomials (b and c are negative)
   4. I.6.1.3. Factoring ax² + bx + c Trinomials (b is negative and c is positive)
   5. I.6.1.4. Factoring ax² + bx + c Trinomials (b is positive and c is negative)

4. I.6.2. Factoring ax² + bx + c Trinomials (a is negative)

   1. I.6.2.O. Overview
   2. I.6.2.1. Factoring ax² + bx + c Trinomials (b and c are positive)
   3. I.6.2.2. Factoring ax² + bx + c Trinomials (b and c are negative)
   4. I.6.2.3. Factoring ax² + bx + c Trinomials (b is positive and c is negative)
   5. I.6.2.4. Factoring ax² + bx + c Trinomials (b is positive and c is negative)

5. I.6.3. Solving Equations by Factoring ax² + bx + c Trinomials

   1. I.6.3.O. Overview
   2. I.6.3.1. Solving Equations by Factoring ax² + bx + c Trinomials
   3. I.6.3.2. Solving Equations by Rearranging and Factoring ax² + bx + c Trinomials

I.7. Factoring Special Products

1. I.7.M. Play Multiplayer 0 wins, 0 losses

2. I.7.Q. Unit Challenge

3. I.7.1. Difference of Two Squares Pattern

   1. I.7.1.O. Overview
   2. I.7.1.1. Factoring Polynomials Using the Difference of Two Squares Pattern
   3. I.7.1.2. Factoring Polynomials Using the Difference of Two Squares Pattern by Removing Common Terms First

4. I.7.2. Perfect Square Trinomial Pattern

   1. I.7.2.O. Overview
   2. I.7.2.1. Factoring Polynomials Using the Perfect Square Trinomial Pattern
   3. I.7.2.2. Factoring Polynomials Using the Perfect Square Trinomial Pattern by Removing Common Terms First

5. I.7.3. Solving Equations Using Special Product Patterns

   1. I.7.3.O. Overview
   2. I.7.3.1. Solving Equations Using the Difference of Two Squares Pattern
   3. I.7.3.2. Solving Equations Using the Perfect Square Trinomial Pattern

I.8. Factoring Polynomials Completely

1. I.8.M. Play Multiplayer 0 wins, 0 losses

2. I.8.Q. Unit Challenge

3. I.8.1. Factoring Polynomials by Removing Common Binomials

   1. I.8.1.O. Overview
   2. I.8.1.1. Factoring Expressions by Removing Common Binomials
   3. I.8.1.2. Factoring Expressions by Rearranging Opposites and Removing Common Binomials

4. I.8.2. Factoring Polynomials by Grouping

   1. I.8.2.O. Overview
   2. I.8.2.1. Factoring Polynomials by Grouping Terms