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6.2 Perfect Squares.notebook
2015 05 04
May 04, 2015
6.2 Perfect Squares
pp. 322 ‐ 323
Why are the first two different from the thrid?
A. Factor the first two quadratics. Explain why these expressions are called perfect‐square trinomials.
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6.2 Perfect Squares.notebook
May 04, 2015
B. Using algebra tiles, create an arrangement that helps you determine the constant term c that must be added to create perfect‐square trinomials.
Verify by factoring each new trinomial you created.
1 1 1
1
1 1
1 1 1
x2
x
x
x
x
x2
x
x
1 1
1 1
1
x
x
x
x
x
x
1
x
x
x
x2
x
x2
x
x
x2
x
x
x
x
C. For each trinomial you created in part B, compare the coefficient of x and the constant term you added. Explain how these numbers are related.
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6.2 Perfect Squares.notebook
May 04, 2015
D. How are the expressions below different from those in part B?
1
x
2
x
x
x
x
x
x
2
x
E. Using algebra tiles or an area diagram, determine the constant term c that must be added to each of the expressions in part D to create perfect‐square trinomials. Verify by factoring each new trinomial.
F. For each trinomial you created for part E, compare the coefficient of x
and the constant term you added. Does the relationship you
discovered in part C still apply?
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6.2 Perfect Squares.notebook
May 04, 2015
G. Each expression below contains a common factor. Factor the
expression and then determine the constant term c that must be
added to each expression to make it a multiple of a perfect‐
square trinomial. Verify by factoring each new trinomial.
Assigned Work: pp. 323 # 1, 2 ace
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6.2 Perfect Squares.notebook
May 04, 2015
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