Chapter Six:   Polynomials and Factoring

Take notes on the following topics.

Chapter Six

Section 6.1

Section 6.2

Section 6.3

Section 6.4

Section 6.5

Section 6.6

Section 6.7

Section 6.8

Section 6.9

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Section 6.3 Trinomial Squares

(Examples provided by Prentice Hall)

Part I: Recognizing Trinomial Squares

Which of the following are trinomial squares?

 

Example 1	x2 + 2x + 1 Yes,  x2 + 2x(1) + 12
Example 2	x2 + 3xy + y2 No,  the middle term is not 2xy.
Example 3	81x2 + 36xy + 4y2 Yes,  (9x)2 + 2(9x)(2y) + (2y)2

Part II: Factoring Trinomial Squares

 

Example 1	x2 + 10x + 25 = x2 + 2 • x • 5 + 52  = (x + 5)2
Example 2	y2 – 8y + 16 = y2 – 2 • y • 4 + 42  = (y – 4)2
Example 3	4x2 + 12x + 9 = (2x)2 + 2 • 2x • 3 + 32  = (2x + 3)2
Example 4	2x2 + 12x + 18 = 2(x2 + 6x + 9)  = 2(x + 3)2

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