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Sec 1: Factoring: The Difference of Two Squares and the Sum/Difference of Two Cubes Learning Target: I will factor polynomials using the sum or difference.

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Presentation on theme: "Sec 1: Factoring: The Difference of Two Squares and the Sum/Difference of Two Cubes Learning Target: I will factor polynomials using the sum or difference."— Presentation transcript:

1 Sec 1: Factoring: The Difference of Two Squares and the Sum/Difference of Two Cubes Learning Target: I will factor polynomials using the sum or difference of 2 squares or cubes. Unit 5: Polynomial Functions

2 Sec 1: Difference of 2 Squares Factor the following: 1.x² - 4 2.9x² - 81 3.16x² - 144y² Following this same pattern, we can say that the formula for the difference of 2 squares is a² - b² = Following this same pattern, we can say that the formula for the difference of 2 squares is a² - b² =

3 Quality Core Practice

4 List all cubes from 1³ to 10³ Ex 2: For a demonstration of the Sum and Difference of 2 Cubes Formulas watch: http://www.youtube.com/watch?v=T0ItI7q6Q1 U&feature=related Ex 2: For a demonstration of the Sum and Difference of 2 Cubes Formulas watch: http://www.youtube.com/watch?v=T0ItI7q6Q1 U&feature=related

5 Ex 3: Factor Completely 2a³ - 54b³

6 Ex 4: The Application! Consider the function 2x³ + 54 = 0. What are the real roots of the function? What are the complex roots of the function? Could you have used SADMEP to find all of the roots of this function? Why or why not?

7 HOMEWORK Factoring the Sum or Difference of Cubes worksheet


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