diamond method
(a=1)
(a=1)
busting the 'b'
(a>1)
(a>1)
perfect squares
grouping
greatest common factor (GCF)
100
factor using the diamond method!
a2 + 6a + 8
(a+4)(a+2)
100
bust the 'b' and factor!
2x2 - 5x - 3
(2x+1)(x-3)
100
look for perfect squares and factor!
a2 - 36
(a+6)(a-6)
100
factor by grouping!
12a3 - 9a2 + 4a - 3
(3a2+1)(4a-3)
100
factor using the GCF!
6x + 3
3(2x+1)
200
factor using the diamond method!
c2 - c - 6
(c-3)(c+2)
200
bust the 'b' and factor!
3x2 + 10x - 8
(3x-2)(x+4)
200
look for perfect squares and factor!
b2 - 49
(b+7)(b-7)
200
factor by grouping!
m3 - m2 + 2m - 2
(m2+2)(m-1)
200
factor using the GCF!
24x2 - 8x
8x(3x-1)
300
factor using the diamond method!
-9h + 14 = -h2
(h-2)(h-7)
300
bust the 'b' and factor!
7a2 - 11a = -4
(7a-4)(a-1)
300
look for perfect squares and factor!
2c2 - 50
2(c+5)(c-5)
300
factor by grouping!
2p3 + 5p2 + 6p + 15
(p2+3)(2p+5)
300
factor using the GCF!
12x2 - 9x + 15
3(4x2-3x+5)
400
factor using the diamond method!
x2 + 27 = -12x
(x+3)(x+9)
400
bust the 'b' and factor!
17n + 6 = -5n2
(5n+2)(n+3)
400
look for perfect squares and factor!
81d2 - 64
(9d+8)(9d-8)
400
factor by grouping!
12xy - 28x - 15y + 35
(4x-5)(3y-7)
400
factor using the GCF!
2x3 - 128x
2x(x-8)(x+8)
500
factor using the diamond method!
x2 - 3x = 40
(x-8)(x+5)
500
bust the 'b' and factor!
18x2 + 35 = 57x
(6x-5)(3x-7)
500
look for perfect squares and factor!
4x2 - 81y2
(2x+9y)(2x-9y)
500
factor by grouping!
40xy + 30x - 100y - 75
5(2x-5)(4y+3)
500
FINAL JEOPARDY
24x3 + 18x2 - 6x
6x(x+1)(4x-1)