A25­7Notes.notebook
February 18, 2015
Solving Perfect Square Trinomials
Perfect Square Trinomial
a2 + 2ab + b2 = (a + b)2
a2 ­ 2ab + b2 = (a ­ b)2
Algebra 2
Ch.5 Notes Page 24
x2 +10x + 25 = 36
P24 5­7 Completing the Square
Aug 19­6:20 AM
Feb 10­8:06 AM
Completing the Square
A Method of Factoring
Try to create a Perfect Square Trinomial
a2 + 2ab + b2 = (a + b)2
Check to see if it is a a2 ­ 2ab + b2 = (a ­ b)2
Perfect Square Trinomial
If Not...
x2 + 12x + 6 = 0
1. Get C on Right Side of Equation.
2. Divide B by 2 and Square it.
3. Add this number to both sides.
4. Create Perfect Square Trinomial.
5. Undo Squaring.
6. Get x by itself.
Example:
x2 ­ 12x + 5 = 0
A must be a 1. If it is not, divide everything in the problem by A to get the value of A to be a 1.
Sep 22­9:21 AM
Oct 16­3:03 PM
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A25­7Notes.notebook
Example:
February 18, 2015
x2 + 8x + 28 = 0
Example:
A ≠1
5x2 + 20x = 40
Mar 4­7:09 AM
Example:
Mar 4­7:09 AM
A ≠1
2x2 + x = 6
HW #25
5­7 P285 #1,2,7­21,25
Please put your name and class period at the top of
the homework. Also include the homework number.
Feb 10­7:38 AM
Aug 19­6:25 AM
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