Completing the Square
Oh No!
Build the following squares:
x2 + 2x
x2 + 4x
x2 + 6x
x2 + 10x
x2 + 20x
Factored Form
How would you deal with?
x2 + 3x +9/4
x2 + 5x +25/4
x2 - 8x
+16
x2 - 11x +121/4
Factored Form
This square has too many pieces to make it
perfect. How many extra ones do you have?
x2 + 6x + 11
Factored Form
This square has too many pieces to make it
perfect. How many extra ones do you have?
x2 - 8x + 19
Factored Form
This square has too many pieces to make it
perfect. How many extra ones do you have?
x2 + 3x + 3
Factored Form
This square is missing pieces to make it
perfect. How many are missing?
x2 + 6x + 2
Factored Form
This square is missing pieces to make it
perfect. How many are missing?
x2 - 10x + 1
Factored Form
This square is missing pieces to make it
perfect. How many are missing?
x2 + 8x - 3
Factored Form
This square is missing pieces to make it
perfect. How many are missing?
x2 + 5x + 9
Factored Form
How would you deal with this one...
2x2 + 12x + 22
Factored Form
Hint:
Remember, we're dealing with perfect squares!
Deal with this one...
3x2 + 6x + 5
Factored Form
Deal with this one...
2x2 + 12x + 17
Factored Form
Completing the Square
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Attachments
Completing the square Student Handout No work area.pdf
Completing the square Student Handout with work area.pdf