1. Algebra 2
Ch.5 Notes Page 37
P Completing the Square

2. x2 +10x + 25 = 36 Solving Perfect Square Trinomials
a2 + 2ab + b2 = (a + b)2
a2 - 2ab + b2 = (a - b)2
x2 +10x + 25 = 36

3. Completing the Square x2 + 12x + 6 = 0 A Method of Factoring
Try to create a Perfect Square Trinomial
a2 + 2ab + b2 = (a + b)2
a2 - 2ab + b2 = (a - b)2
Check to see if it is a
Perfect Square Trinomial
If Not...
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.
x2 + 12x + 6 = 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.

4. Example:
x2 - 12x + 5 = 0

5. Example:
x2 + 8x + 28 = 0

6. Example:
A ≠1
5x2 + 20x = 40

7. Example:
A ≠1
2x2 + x = 6

8. the homework. Also include the homework number.
HW #37
5-7 P285 #1,2,7,9,15,17,25,27
Please put your name and class period at the top of
the homework. Also include the homework number.