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Algebra I » I. Polynomials and Factoring

  • 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
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  • 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
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  • 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
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  • 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
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  • I.5. Factoring x2 + bx + c Trinomials

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    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
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  • I.6. Factoring ax2 + bx + c Trinomials

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    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
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  • I.7. Factoring Special Products

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    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
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  • 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
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