January 23, 2017
Factor Flowchart
5.4
FACTOR FLOWCHART
two
ter
ms
Difference of Squares
a2-b2 = (a+b)(a-b)
Sum or Difference of
Cubes
3
3
a + b =(a+b)(a2 - ab + b2)
a3 - b3=(a-b)(a2 + ab + b2)
Greatest
Common three terms
Factor
ms
er
rt
fou
Trinomial
Guess/Check
or
AC Method
Factor by Grouping
January 23, 2017
Factor Warm up:
2
2x -5x-12
2
2x -10x-28
9x2-25
2
5x -45
January 23, 2017
13=1
The Difference of Cubes: a3-b3= (a-b)(a2+ab+b2)
The Sum of Cubes:
a3+b3= (a+b)(a2-ab+b2)
23=8
33=27
43=64
53=125
3
1. x + 27
2. x3 - 27
January 23, 2017
3
3. 8x + 125
3
4. 64x - 27
January 23, 2017
FACTOR BY GROUPING
(Use if 4 terms)
5.
3
2
5x - 10x - 3x + 6
January 23, 2017
3
2
6. x + 5x + x + 5
3
2
7. x + 5x - 9x - 45
January 23, 2017
HW: Pg. 357 #10-14, 18-23