Solve by Factoring
Solve by Harder Factoring
Quadratic Equation
Completing the Square
Grab Bag
100
(x+3)(x-3) = 0
What is -3 and 3?
100
0 = 3x2 +9x -12
What is -4 and 1?
100
Say or write the quadratic formula
What is 
100
To complete the square, this number wold be in the blank: x2 + 6x + ____
What is 9?
100
Factor x2 - 64
What (x+8)(x-8)
200
x2 - 7x + 6 = 0
What is 6 and 1?
200
0 = 3x2 +6x
What is -2 and 0?
200
What are the first two steps to solving x2-5x -10 =4 using quad. formula
What are subtract 4 from both sides and stating that a = 1, b = -5 and c = -14?
Will also accept: Plugging in a = 1, b = -5 and c = -14 into quad formula.
200
Identify the first step to solve by completing the square: 4x2 + 16x =- 20
What is factor out '4'?
200
what are the three ways to solve a quadratic equation
Factoring, completing the square or using the quadratic formula
300
x2 + 13x + 42 = 0
What is -6 and -7?
300
0= 2x3 + 8x2 - 10x
What is 1, 0 and -5?
300
The solutions to x2+ x + 1 using quadratic formula
What is does not exist because 
gives you a -3 under the square root
300
These are the first 4 steps needed to solve this quadratic by completing the square
x2 + 6x - 27= 0
What are:
Add 27 to both sides. x2+6x = 27
Take 1/2 of 6 and square it x2+6x + ___ = 27
Add 9 to both sides x2+6x+9 = 36
Factor the left hand side (x+3)2 = 36
300
This is the degree (greatest coefficient) of any quadratic equation. Hint: This is the number of solutions in a quadratic equation.
What is 2?
400
-x2 + 27x - 50 = 0
What is 2 and 25?
400
0 = 2x2 + 8x - 64
What is 4 and -8?
400
The solutions of 2x2+4x = 1
What are (-4+\/20)/4 or (-4 -\/20)/4
or (-4 + 2\/5)/4 or (-4 - 2\/5)/4
400
These are the first 4 steps to solve this quadratic by completing the square
3x2+12x+18 = 0
What are:
Subtract 18 on both sides 3x2+12x=-18
Factor 3 from the left hand side 3(x2+4x) =-18
Take 1/2 of the 4 and square it 3(x2+4x+__) =-18+__
Add 4 into the ( ) 3(x2+4x+4) =-18+12
400
The solution for x
x2 + 24 = 0
What is no solution?
500
Find the original quadratic equation given the following zeroes: x = 4, 5
What is x2 - 9x + 20
500
0 = x2+36
What is does not exist
500
5x2+2x-7=4x2+6x+7
What is 
?
500
Solve this quadratic by completing the square. Describe each step
3x2+12x-18 = 0
What are:
Subtract 18 on both sides 3x2+12x=18
Factor 3 from the left hand side 3(x2+4x) =18
Take 1/2 of the 4 and square it 3(x2+4x+__) =18+__
Add 12 to both sides 3(x2+4x+4) =18+12
Divide both sides by 3 x2+4x+4 = 10
Factor (x+2)2 = 10
Sq.Rt each side x+2 =+- \/10
Subtract 2 x = \/10 - 2 or x = -\/10 + 2
500
8x2 - 47x - 63 = 0
What is (-9/8) and 7?