Day 11 Factoring Special Products 8­5.notebook
April 26, 2017
Date: Block B 4/26/17 or 4/27/17
Objective: I can factor special polynomials
Factor each polynomial.
Entry: A.
B. What pattern do you notice? 1
Day 11 Factoring Special Products 8­5.notebook
April 26, 2017
Factor each polynomial.
A.
B.
2
Day 11 Factoring Special Products 8­5.notebook
April 26, 2017
Factoring Perfect Square Trinomials
or ax2 ­ bx + c
a2 + 2ab + b2 = (a + b)(a + b) = (a + b)2
24x + 9
erm
twice the
Is the
first term
a last term a
square roots
perfect
square?
Yes, square? Yes,
last 2terms?
2.
because
9=(3)2.
e 16x =(4x)
4x=2(4x)(3)
a2 ­ 2ab + b2 = (a ­ b)(a ­ b) = (a ­ b)2
Try it.
Determine whether each trinomial is a perfect square trinomial, Write yes or no. If so factor it.
2. 6x2 + 30x + 36
1. 4x2 + 12x + 9
3. y2 + 12y + 36
4. 25x2 ­ 10x + 1
5. x2 + 2x + 4
6. 9 + 24x + 16x2
3
Day 11 Factoring Special Products 8­5.notebook
April 26, 2017
Ex. 2 Factor each polynomial.
A.
What B.
4
Day 11 Factoring Special Products 8­5.notebook
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Try It
• • • 5
Day 11 Factoring Special Products 8­5.notebook
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Identify each of the following as a perfect square trinomial (P), a difference of squares (D), or neither (N).
6
Day 11 Factoring Special Products 8­5.notebook
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Class work/Homework pg 582: 14­19, 21­26, 30­35
7
Day 11 Factoring Special Products 8­5.notebook
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Punnett Squares
PUZZLE
Factoring Polynomials
8
Day 11 Factoring Special Products 8­5.notebook
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Fill in the missing terms:
6
x2
3
Standard Form:
Factored Form:
9
Day 11 Factoring Special Products 8­5.notebook
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Fill in the missing terms:
m
m2
­1
3
Standard Form:
Factored Form:
10
Day 11 Factoring Special Products 8­5.notebook
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Fill in the missing terms:
y
y2
4y
­2y
Standard Form:
Factored Form:
11
Day 11 Factoring Special Products 8­5.notebook
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Fill in the missing terms:
g
g2
2
­4
Standard Form:
Factored Form:
12
Day 11 Factoring Special Products 8­5.notebook
April 26, 2017
Fill in the missing terms:
2p2
2p
3p
Standard Form:
Factored Form:
13
Day 11 Factoring Special Products 8­5.notebook
April 26, 2017
Fill in the missing terms:
5
a
2a2
15
Standard Form:
Factored Form:
14
Day 11 Factoring Special Products 8­5.notebook
April 26, 2017
Fill in the missing terms:
­4
3x2
3x
Standard Form:
Factored Form:
15
Day 11 Factoring Special Products 8­5.notebook
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Fill in the missing terms:
w2
­8w
64
Standard Form:
Factored Form:
16
Day 11 Factoring Special Products 8­5.notebook
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Fill in the missing terms:
x + 5
20x
­3
Standard Form:
Factored Form:
17
Day 11 Factoring Special Products 8­5.notebook
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Fill in the missing terms:
5b
25b2
1
Standard Form:
Factored Form:
18
Day 11 Factoring Special Products 8­5.notebook
April 26, 2017
Fill in the missing terms:
9 + x
9x
9x
Standard Form:
Factored Form:
19
Day 11 Factoring Special Products 8­5.notebook
April 26, 2017
Fill in the missing terms:
y
­8y
­64
Standard Form:
Factored Form:
20
Day 11 Factoring Special Products 8­5.notebook
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Fill in the missing terms:
x
­7x
­42
Standard Form:
Factored Form:
21
Day 11 Factoring Special Products 8­5.notebook
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Fill in the missing terms:
10w
13w
130
Standard Form:
Factored Form:
22
Day 11 Factoring Special Products 8­5.notebook
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Fill in the missing terms:
x ­ 4
x2
­3
Standard Form:
Factored Form:
23
Day 11 Factoring Special Products 8­5.notebook
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Fill in the missing terms:
6x2
­3x
­8x
Standard Form:
Factored Form:
24
Day 11 Factoring Special Products 8­5.notebook
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Fill in the missing terms:
g
5g2
­3
12
Standard Form:
Factored Form:
25
Day 11 Factoring Special Products 8­5.notebook
April 26, 2017
Fill in the missing terms:
2d
1
6d
­1
Standard Form:
Factored Form:
26
Day 11 Factoring Special Products 8­5.notebook
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Fill in the missing terms:
1
3x3
x
Standard Form:
Factored Form:
27
Day 11 Factoring Special Products 8­5.notebook
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Fill in the missing terms:
5x2
1
x
­3
Standard Form:
Factored Form:
28
Day 11 Factoring Special Products 8­5.notebook
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Fill in the missing terms:
Standard Form:
Factored Form:
29
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30