Module-Lessons

VIII. -Polynomial and Quadratic Equation

Modules

Algebra11 – Solving Linear Equations and Inequalities of Two Variables

A11.1 – Applying Rules of Exponents

  • Multiplying Powers with Like Bases
  • Dividing Powers with Like Bases
  • Power-of-a-Power Rule
  • Power-of-a-Product
  • Power-of-a-Quotient
  • Conclusion

A11.2 – Using Scientific Notation

  • Understanding Scientific Notation
  • Converting a Number from Scientific Notation to Standard Form
  • Converting a Number from Standard Form to Scientific Notation
  • Calculating Using Scientific
  • Conclusion

A11.3 – Adding and Subtracting Polynomials

  • Understanding Polynomials
  • Subtracting Polynomials
  • Conclusion

A11.4 – Multiplying Monomials and Binomials

  • Multiplying Monomials
  • Multiplying a Binomial by a Monomial
  • Multiplying a Binomial by a Binomial
  • Conclusion

A11.5 – Multiplying Polynomials

  • Special Products
  • Multiplying General Polynomials
  • Conclusion

A11.6 – Dividing Polynomials by Monomials

  • Dividing Monomials by Monomials
  • Dividing Polynomials by Monomials
  • Conclusion

A11.7 – Dividing Polynomials Using Long Division

  • Dividing Polynomials Using Long Division
  • Conclusion

Algebra12 – Simplifying Algebraic Expressions by Factoring Polynomials

A12.1 – Factoring by Removing the Greatest Common Factor

  • Introducing Factoring
  • Greatest Common Monomial Factor
  • Factoring Polynomials Containing More Than One Variable
  • Conclusion

A12.2 – Factoring by Grouping

  • Common Binomial Factors
  • Factoring by Grouping
  • Conclusion

A12.3 – Factoring the Difference of Two Squares

  • How to Factor the Difference of Two Squares
  • Recognizing Perfect Squares
  • Factoring the Differences of Two Squares
  • Factoring the Differences of Two Squares with a Leading Coefficient Than One
  • Using the Difference of Square Rule Twice
  • Conclusion

A12.4 – Factoring x2 + b x + c

  • Factoring Trinomials of the Form x2 + bx + c, b>0, c>0
  • Factoring x2 + bx + c, b<0 and/or c<0
  • Conclusion

A12.5 – Factoring ax2 + b x + c

  • Factoring ax2 + bx + c; Guess and Checkk
  • Factoring ax2 + bx + c; Factoring by Grouping
  • Conclusion

A12.6 – Factoring Using Several Methods

  • Review of Factoring Methods
  • Factoring Using Several Methods
  • Conclusion

A12.7 – Dividing Polynomials Using Factoring

  • Dividing Polynomial by Factoring: Factoring Numerator Only
  • Dividing Polynomial by Using Factoring: Factoring Numerator and Denominator
  • Conclusion

Algebra13 – Solving Quadratic Equations of One Variable

A13.1 – Defining Quadratic Equations of One Variable

  • Identifying Quadratic Equations
  • Conclusion

A13.2 – Solving Quadratic Equations by Evaluating Square Roots

  • Solving Equations of the Form ax2=k
  • Solving Equations of the Form ax2-b=k
  • Solving Quadratic Equations of the Form a(x+b)^2=k
  • Solving Quadratic Equations of the Form a(x=b)^2+c=k
  • Conclusion

A13.3 – Solving Quadratic Equations by Factoring

  • Solving Quadratic Equations by Factoring
  • Conclusion

A13.4 – Solving Quadratic Equations by Completing the Square

  • Completing the Square and Factoring Perfect Square Trinomials
  • Solving Quadratic Equations by Completing the Square
  • Conclusion

A13.5 – Solving Quadratic Equations by the Quadratic Formula

  • The Quadratic Formula
  • Using the Quadratic Formula
  • Using the Discriminant
  • Conclusion

A13.6 – Solving Problems Using Quadratic Equations of One Variable

  • Rectangular Area Applications
  • Vertical Motion Applications
  • Conclusion

Algebra14 – Graphing Quadratic Relations

A14.1 – Graphing Simple Quadratic Relations

  • Defining Parabola
  • Graphing Relations of the Form y=ax2+bx+c
  • Conclusion

A14.2 – Graphing Quadratic Relations by Analysis

  • Graphing y=ax2
  • Review of Graphics y=ax2
  • Graphics Equations of the Form y=x2+k
  • Graphing Equations of the Form y+a(x-h)^2+k
  • Graphing Equations of the Form y=(x-h)^2
  • Conclusion

A14.3 – Solving Problems Using Quadratic Graphs

  • Vertical Motion Application
  • Sports Application
  • Conclusion