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⭐Quiz - Factoring Completely
By Jeanmarie Mullen
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Last updated over 4 years ago
13 questions
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Question 1
1.
The greatest common factor of 12a
2
and 8a
3
is
[Space is provided for optional work.]
4a
2
8a
3
12a
2
96a
5
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Question 2
2.
Which of the following is equivalent to 3pq
2
- 27p ?
[Space is provided for optional work.]
3p(pq
2
- 9)
(3q
2
+ 9)(p + 3)
3p(q - 3)(q + 3)
(3pq + 3)(q - 9)
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Question 3
3.
When factored, the expression 9c
2
- d
2
is equivalent to
[Space is provided for optional work.]
(3c + d)(3c - d)
(3c
2
+ d
2
)(3c
2
- d
2
)
(9c + d)(9c - d)
(3c - d)(3c - d)
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Question 4
4.
Which expression is equivalent to g
2
+ 7g + 6 ?
[Space is provided for optional work.]
(g + 3)(g + 2)
(g + 6)(g + 1)
g(g + 7)
(g + 1)(g + 7)
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Question 5
5.
Which expression is the complete factorization of 32 - 18y
2
?
[Space is provided for optional work.]
2(4 - 3y)
2
2(3y - 4)(3y + 4)
2(4 - 3y)(4 + 3y)
2y(16 - 9y)
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Question 6
6.
Which of the following represents the expression below factored completely?
56e
6
- 42e
3
[Space is provided for optional work.]
14e
3
(4e
3
- 3)
14e
2
(4e
4
- 3e)
7e
3
(8e
3
- 6)
2e
3
(28e
3
- 21)
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Question 7
7.
Factored completely, which expression is equivalent to d
4
- 81 ?
[Space is provided for optional work.]
(d - 3)(d + 3)(d - 3)(d + 3)
(d
2
+ 9)(d
2
- 9)
(d + 3)(d - 3)(d
2
+ 9)
d
2
(d + 3)(d - 3)
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Question 8
8.
When the expressions m
2
- 9 and m
2
- 5m + 6
are factored, a common factor is
[Space is provided for optional work.]
m - 3
m
2
m + 3
m - 2
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Question 9
9.
Factor the expression: p
4
- 64
[Space is provided for optional work.]
(p
2
- 8)(p
2
- 8)
(p
2
- 32)(p
2
+ 32)
(p - 8)(p + 8)
(p
2
+ 8)(p
2
- 8)
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Question 10
10.
Cole factored the expression r
2
- 8r + 12 correctly. What answer did he choose?
[Space is provided for optional work.]
(r + 6)(r + 2)
(r - 6)(r + 2)
(r - 6)(r - 2)
(r + 6)(r - 2)
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Question 11
11.
Factor completely: f
8
- 16
[Show your work in the space provided.]
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Question 12
12.
Factor the following completely: 3a
3
- 3a
2
- 18a
[Show your work in the space provided.]
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Question 13
13.
Factor completely: 2w
2
- 18
[Show your work in the space provided.]
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