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GCF
DOTS
Trinomials
Factor Completely
100
5x
2
+ 15x
5x (x + 3)
100
x
2
- 25
(x + 5) (x - 5)
100
x
2
+ 6x + 5
(x + 5) (x + 1)
100
3x
2
- 27
3 (x
2
- 9)
3 (x + 3) (x - 3)
200
9x
5
+ 27x
3
9x
3
(x
2
+ 3)
200
x
2
- 49
(x + 7) (x - 7)
200
y
2
- 18y - 40
(y - 20) (y + 2)
200
3x
2
- 12x - 36
3 (x
2
- 4x - 12)
3 (x -6) (x + 2)
300
24d
2
+ 30c
2
d
6d (4d + 5c
2
)
300
16y
2
- 1
(4y + 1) (4y - 1)
300
a
2
+ 3a - 28
(a + 7) (a - 4)
300
2x
5
- 50x
3
2x
3
(x
2
- 25)
2x
3
(x + 5) (x - 5)
400
18x
2
+ 30xy + 21xy
2
3x (6x + 10y +7y
2
)
400
25n
2
- 36
(5n + 6) (5n - 6)
400
y
2
- y - 42
(y - 7) (y + 6)
400
4x
3
- 32x
2
- 60x
4x (x
2
- 8x + 15)
4x (x - 5) (x - 3)
500
6m
5
n
4
- 24m
2
n
2
6m
2
n
2
(m
3
n
2
- 4)
500
9x
2
- 100
(3x + 10) (3x - 10)
500
2x
2
+ 7x + 5
(2x + 5) (x + 1)
500
2n
3
+ 12n
2
- 14n
2n (n
2
+ 6n - 7)
2n (n + 7) (n - 1)