Factoring
Square Roots
Identify A, B, and C
Make sure you know...
Simplifying Radicals
100
Use the Zero Product Property to solve the following quadratic equation.
(x - 7)(x + 2) = 0
x = 7
x = -2
100
Solve the following quadratic equation by using square roots: x2 = 4
x = 2
x = -2
100
x2 + 6x - 8 = 0
a = 1
b = 6
c = - 8
100
What is the quadratic formula?
100
√36
6, -6
200
Solve the following quadratic equation by factoring. x2+3x+2 = 0
x = -2
x = -1
200
Solve the following quadratic equation by using square roots: x2 = 121
+11 or -11
200
2x2 + 4x = 5
a = 2
b = 4
c = - 5
200
Which method of factoring would be used to solve the following
x2 + 6x + 5 = 0
Diamond
200
√196
14,-14
300
Solve the following quadratic equation by factoring. x2 - 6x + 5 = 0
x = 5
x = 1
300
Solve the following quadratic equation by using square roots: (x-2)2 = 25
x = 7
x = -3
300
x2 - 2x - 24 = -4x2
a = 5
b = - 2
c = -24
300
What would be the SECOND step in solving by taking the square root
3(x-3)2 + 5 = 14
Divide by 3
300
√44
2√11, -2√11
400
Solve the following quadratic equation by factoring. x2 - 6x - 27 = 0
x = 9
x = -3
400
Solve the following quadratic equation by using square roots: 2x2 - 8= 192
x = - 10, 10
400
3x2 + 10x + 16 = 16 - 3x
a = 3
b = 13
c = 0
400
How do you cancel a power of 2?
Square Root
400
√72
6√2, -6√2
500
Solve the following quadratic equation by factoring. 2x2 - 5x - 3 = 0
x = -1/2
x = 3
500
Solve the following quadratic equation by using square roots: 5(x - 4)2+3 = 103
x = 4 + 2√5
x = 4 - 2√5
500
2x2 = 0
a = 2
b = 0
c = 0
500
When would we use the method of taking the square root?
No B term, parentheses squared (x+a)2
500
√125
5√3, -5√3