1. 4.6a SKM & PP 1 Polynomial Multiplication: Product of Conjugates

2. 4.6a SKM & PP 2 What are Conjugates? The first binomial is the sum of a and b. The conjugate binomial is the difference of a and b.

3. 4.6a SKM & PP 3 Let’s Look at some Examples! BinomialConjugate

4. 4.6a SKM & PP 4 ExpressionConjugate Will there be more conjugates in Algebra ? Yes. Have a look at a couple examples that come up in more advanced sections:

5. 4.6a SKM & PP 5 The Product of Conjugates Use FOIL to multiply these conjugates.

6. 4.6a SKM & PP 6 FOIL Conjugates using a Generic Rectangle

7. 4.6a SKM & PP 7 The Shortcut!

8. 4.6a SKM & PP 8 The Shortcut: Example 1

9. 4.6a SKM & PP 9 The Shortcut: Example 2

10. 4.6a SKM & PP 10 The Shortcut: Example 3

11. 4.6a SKM & PP 11 The Shortcut: Example 4

12. 4.6a SKM & PP 12 The Shortcut: Example 5

13. 4.6a SKM & PP 13 The Shortcut: Example 6

14. 4.6a SKM & PP 14 Memorize this Pattern for now and for later! In a future section, we will need to work this problem in reverse. We will be given the difference of squares and must rewrite it as a product of conjugates. It will look like this:

15. 4.6a SKM & PP 15 That’s All for Now!