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Algebra I_Unit 7-Lesson 8_April 4
Warm−up:
Write the following in expanded form (DO NOT Simplify)
Learning Target - I can identify and create a
perfect square trinomial from two binomials.
1.) 2x3y4
3
2.) (2m n)
Unit 7-Lesson 8_Completing the Square
[CCSS Reference #F−IF.8a.]
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Q: why do
we expand
further in
#2, but not
in #3???
3.) (3x + 5)2
Perfect Square Trinomial − the simplified
product of a binomial squared. All perfect
square trinomials must have the following...
first term
Positive perfect square for the ________
third term
Positive perfect square for the ________
twice
A middle term that is _________ the product of the square
root of the 1st term times the square root of the 3rd term
Ex. I
a.) (x + 5)
2
Ex. I
Find the Product
b.) (n − 4)
2
c.) (3n + 4)
Find the Product
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Algebra I_Unit 7-Lesson 8_April 4
Perfect Square Trinomial Formulas
Ex.II
[ Let's discover the formulas... ]
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Are the following Perfect Square Trinomials? Yes or No?
Justify your answer. [HINT: remember our check list...]
first
Positive perfect square for the ________
term
2
(a − b) =
(a + b) =
third term
Positive perfect square for the ________
twice the product of the square
A middle term that is _________
root of the 1st term times the square root of the 3rd term
a.)
2
x + 6x + 9
now, substitute 'x' and '3'
back into the formula...
2
b.) x − 14x + 49
now, substitute 'x' and '7'
back into the formula...
2
x + 6x + 9
2
a + 2ab + b
2
2
a − 2ab + b
2
[NOTE: watch your signs when your binomial contains subtraction]
c.)
2
x − 8x + 64
d.)
last, see if your simplified
equation matches the
original trinomial...
Yes, this is a perfect
square trinomial
2
x − 14x + 49
Yes, this is a perfect
square trinomial
2
x + 2x + 1
Unit 7-Lesson 8 Assignment
"Why did King Kong... Pizzazz"
Worksheet
2
x − 8x + 64
NO, this is not a
perfect square trinomial
2
x + 2x + 1
Yes, this is a perfect
square trinomial
[MUST Show Work on a separate sheet of paper]
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