Factoring 1
Factoring 2
Multiplying
Characteristic 1
Characteristic 2
100
x2+ 6x - 7
(x - 1)(x + 7)
100
100x2 - 49
(10x - 7)(10x + 7)
100
(x + 3)(x - 7)
x2 - 4x - 21
100
y - intercept: 
(0, 2)
100
f(x) = (2x+ 1)(x - 5)
zeros:
x = -1/2 x = 5
(-1/2, 0) and (5, 0)
200
12x2 - 3x
3x(4x - 1)
200
x2 + 3x
x (x + 3)
200
(2x + 5)(x - 1)
2x2 + 3x - 5
200
f(x) = (x + 7) (x - 1)
x intercepts:
(-7, 0) and (1, 0)
x = -7 and x = 1
200
f(x) = 3(x + 3)2 + 1
y intercept:
(0, 28)
y = 28
300
x2 - 8x + 12
(x - 6)(x - 2)
300
x2 + 5x - 14
(x + 7)(x - 2)
300
(x + 5)2
x2 + 10x + 25
300
f(x) = 3x2 + 5x - 11
y intercept:
(0, -11)
y = -11
300
f(x) = x2 + 8x - 20
zeros:
x = 2 and x = -10
(2, 0) and (-10, 0)
400
14x2 + 21x
7x (x + 3)
400
3x2 - 12x + 12
3(x2 - 4x + 4)
3(x - 2)(x - 2)
400
(10x + 2)(10x - 2)
100x2 - 4
400
f(x) = (x + 1)2 + 5
vertex:
(-1, 5)
400
f(x) = (x - 5)(x + 1)
vertex:
(2, -9)
500
9x2 - 1
(3x + 1)(3x - 1)
500
5x2 - 80
5 (x2 - 16)
5(x - 4)(x + 4)
500
2(x + 3)2
2(x2 + 6x + 9)
2x2 + 12x + 18
500
zeros:
(1, 0) and (2, 0)
500
f(x) = 4x2 + 12x
vertex:
4x(x + 3)
x = 0 and x = -3
vertex (-1.5, -9)