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Factoring
Solving by Greatest Common Factor
Solving by Diamonds and/or Boxes
Solving by Completing the Square & Special Equations
You choose the method...
100
3x2 + 6x
3x(x+2)
100
2x2 + 26x = 0
0, 13
100
x2 - 11x +24 = 0
x = 3, 8
100
x2 - 16x + 64 = 0
x = 8
100
The best method to factor 2x2 - 11x + 15 is
Diamonds AND boxes
200
x2 + 15x + 26
(x + 13)(x + 2)
200
8x2 - 4x = 0
0, 1/2
200
x2 + 7x = 60
x = -12, 5
200
x2 + 49 = -14x
x = -7
200
What is this special quadratic expression called? 4x2 - 100
difference of squares
300
x2 + 20x + 100
(x + 10)(x + 10)
300
5x2 = -50x
0, 10
300
x2 - 121 = 0
x = 11, -11
300
What is the value of C: x2 - 3x + C
c = 9/4
300
What are 2 methods you should use to factor 4x2 - 44x + 96?
greatest common factor and then diamonds only
400
x2 - 16
(x - 4)(x + 4)
400
21x2 = 7x
0, 1/3
400
21x2 + 85x - 26 = 0
x = -13/3, 2/7
400
Solve by completing the square. x2 + 2x = 3
x = -3, 1
400
Solve using whatever method you feel is best. 56x2 + x = 1
x = 1/8, -1/7
500
4x2 - 7x +3
(4x - 3)(x - 1)
500
2x2 + 16x +14
-7, -1
500
4x2 = 22x + 42
x = -3/2, 7
500
Solve by completing the square. x2 - 6x = 72
x = -6, 12
500
Factor only - use whatever method you feel is best. -12x2 + 5x + 3
-(3x + 1)(4r - 3) or (-3x -1)(4r - 3) or (3x + 1)(-4r + 3)