5.1A Completing the Square Day 1.notebook
April 29, 2014
Consider the area model....
Is this a perfect square trinomial?
How do we know we have a perfect square trinomial?
Apr 29-7:27 AM
1
5.1A Completing the Square Day 1.notebook
April 29, 2014
5.1 Compleng the Square
The process of compleng the square allows you to change a
quadrac equaon from standard form to
expand
complete the
square
for y = x
STEPS
Ex. 1 Use les to
y = (x + 2)2 - 1
Apr 19-8:50 AM
2
5.1A Completing the Square Day 1.notebook
April 29, 2014
Standard Form
Vertex Form
# of x-terms
2nd # of # of ones
binomial added
Example
y = x2 + 2x + 7
y = x2 + 8x - 3
y = x2 - 6x + 2
Apr 19-10:18 PM
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5.1A Completing the Square Day 1.notebook
April 29, 2014
We can use a chart instead of algebra les.
The x2 and x-terms will go in the chart.
The constant term will stay apart.
y = x2 + 8x - 3
Chart
x2
Algebraically
4x
What do we need to add to
to make it a perfect square trinomial?
4x
-3
Factor the trinomial and simplify
the constant terms.
Nov 16-4:53 PM
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5.1A Completing the Square Day 1.notebook
April 29, 2014
each of the following
- 10x - 4
b) y = x2 + 12x - 5
Nov 16-4:32 PM
5
5.1A Completing the Square Day 1.notebook
April 29, 2014
CHECK!
Homework
Use les (or le diagrams)
Apr 19-10:52 PM
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