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

Sec 1: Difference of 2 Squares

Factor the following:1. x² - 42. 9x² - 813. 16x² - 144y²

Following this same pattern, we can say that the formula for the difference of 2 squares is

a² - b² =

Quality Core Practice

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=T0ItI7q6Q1U&feature=related

Ex 3: Factor Completely

2a³ - 54b³

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?

HOMEWORK

•Factoring the Sum or Difference of Cubes worksheet