Chapter Five:  Exponents and Polynomials

Take notes on the following topics.
Algebra 1 Notes

Chapter Five

Section 5.1

Section 5.2

Section 5.3

Section 5.4

Section 5.5

Section 5.6

Section 5.7

Section 5.8

Section 5.9

Section 5.10

Section 5.11

Section 5.12

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 



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Section 5.10  Multiplication  Binomials: Special Products

Part I: Multiplying the Sum and the Difference of Two Expressions

Multiply.

 
Example 1 (r + 2)(r – 2)

= r2 – 4
 
Example 2 (2x + 3)(2x – 3)

= 4x2 – 9
 
Example 3 (ab + c)(ab – c)

= a2b2 – c2
 
Example 4 (–3x + 4y)(–3x – 4y) 

= 9x2 – 16y2

Part II: Squaring  Binomial 

Multiply.

 
Example 1 (x + 5)2

= x2 + 2 • x • 5 + 25 

= x2 + 10x + 25

Example 2 (y – 3)2

= y2 – 2 • y • 3 + 9 

= y2 – 6y + 9

Example 3 (2a – 3b)2

= (2a)2 – 2 • (2a)(3b) + (3b)2 

= 4a2 – 12ab + 9b2

 
 

Take class notes.

Before starting your homework, rework the examples that are illustrated in this section of your textbook and the examples that I demonstrated in class. 

Then do your homework.

Write down questions (examples or concept that you do not understand).......then.............. Ask these questions in class.