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Lesson 8­6.notebook

February 14, 2014

Assignment:
1­­>L8.6, #16 ­ 40 [evens] ­ Due Monday [2/17]
2­­>Checkpoint 8.5­8.6 ­ Due Monday [2/17]
2­­>Chapter 8 Test ­ Tuesday [2/18]
Lesson 8­6.notebook

Lesson 8.6 WarmUp:
Factor each polynomial completely.
1) x2  +  16x  +  63

2)

x2  +  3x  ­  40

3)

3x2  ­  11x  ­  20

4)

2x2  +  19x  +  24

5)

2x2  +  22x  +  56

February 14, 2014
Lesson 8­6.notebook

February 14, 2014

Lesson 8.6:
*Remember these:
(a  +  b)2  = 

(a  ­  b)2  =

**These products are called "perfect square trinomials" ­ b/c they are 
the squares of binomials.
ex ­­>16x2  +  24x  +  9
Lesson 8­6.notebook

February 14, 2014

*Follow these steps when factoring any polynomials...
­­Factor out the GCF (if it is greater than 1)
­­Check for a "difference of 2 squares" or a "perfect square 
trinomial"
­­Apply the factoring steps for x2  +  bx  +  c; or ax2  +  bx  +  c; or 
factoring by grouping
Lesson 8­6.notebook

February 14, 2014

Lesson 8.6 examples:
Factor each polynomial, if possible.  If the polynomial cannot be 
factored, write prime.

A)

25x2  + 60x  +  36

B)

81x2  ­  90x  +  25

C)

4x2  +  64
Lesson 8­6.notebook

February 14, 2014

D)

12x2  ­  84x  +  147

E)

8y2  ­  200z2

F)

8x2  +  10x  ­  21
Lesson 8­6.notebook

Solve each equation.  Check the solutions.
G) 4m2  ­  24m  +  36  =  0

H) 4x2  =  80x  ­  400

February 14, 2014

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8th alg -l8.6