Special Factoring Cases

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*
* Students will be able to differentiate between the
difference of Square and the difference of cubes.
Students will be able to evaluate functions,
Difference of Cubes and Difference of Square.
Students will understand the roots for Difference of
Cubes and Difference of Square and apply these
concepts to real-world applications.
* Teacher will instruct students on how to apply their
factoring knowledge to special cases such as
Difference of Square and Difference of Cubes.
Factoring: Special Cases
2
2
a - b = (a+b)(a-b)
2
2
a + b =(NOT FACTORABLE!!)
262
Confirm
With
Technology
2
x - 81
( x + 9)( x - 9 )
x+9=0
? Cross the “x” axis ?
x–9=0
Difference of Squares
2
x - 289
(
+
)(
-
Difference of Squares
)
2
x - 36
2
9x - 64
(3x+ 8)(3x- 8 )
you do
zeros
Confirm with
Technology
2
16x - 25
(
+
)(
-
)
2
9x + 25
NOT FACTORABLE
2
4x - 169
Difference of Cubes
3
3
2
2
(a + b )=(a+b)(a - ab + b )
opposite
Always +
match
3
3
2
2
(a - b )=(a-b)(a + ab + b )
opposite
MATCH
Always +
Difference of Cubes
3
x + 125
(x+5)(x2 –5x + 25)
Apply
Formula
Difference of Cubes
x3+ 64
(x+4)(x2– 4x+16)
Formula
Difference of Cubes
3
x+8
3
3
x +1
x +729
Factor only
3
3
64x + 125
8x + 27
Find zeros
Lab
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