A2_3.3Pilot5­7Notes.notebook
February 16, 2016
Algebra 2
Ch.5 Notes Page 24
P24 5­7 Completing the Square
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Solving Perfect Square Trinomials
Perfect Square Trinomial
a2 + 2ab + b2 = (a + b)2
a2 ­ 2ab + b2 = (a ­ b)2
x2 +10x + 25 = 36
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How can you complete the square for a quadratic expression?
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
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If Not...
x + 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.
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.
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A2_3.3Pilot5­7Notes.notebook
Example:
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x2 ­ 12x + 5 = 0
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Example:
x2 + 8x + 28 = 0
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Example:
A ≠1
5x2 + 20x = 40
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Example:
A ≠1
2x2 + x = 6
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HW #25
3.3 P116 #3­5,11­16,25­28,31,32,36,63
`
Please put your name and class period at the top of
the homework. Also include the homework number.
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