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All the factoring practice you could want :)

Total questions: 158

Worksheet time: 8hrs 44mins

Name
Class
Date
1.
Factor completely.
k2 -2k - 24
a)
(k+4)(k-6)
b)
(k+4)(k+6)
c)
(k+6)(k-1)
d)
(k-4)(k+6)
2.
Factor completely: 2x2+22x+60
a)
(2x+10)(x+6)
b)
(x+5)(x+6)
c)
2(x+1)(x+30)
d)
2(x+5)(x+6)
3.
Factor completely: x2-6x+8
a)
(x-2)(x-4)
b)
(x-1)(x-8)
c)
(x+2)(x+4)
d)
(x+1)(x+8)
4.
Factor completely: x2-13x+40
a)
(x-5)(x-8)
b)
(x+5)(x+8)
c)
(x-4)(x-10)
d)
(x-2)(x-20)
5.
Factor:x- 25
a)
( x + 5 ) ( x - 5 ) 
b)
( x - 5 ) ( x - 5 ) 
c)
( x + 5 ) ( x + 5 ) 
d)
Prime
6.
Factor out the GCF:
12x + 6
a)
6(2x + 1)
b)
3(4x + 2)
c)
6x(2x + 1)
d)
2(6x + 3)
7.
Which of the following is a factor of x2-10x+24?
a)
x-4
b)
x+4
c)
x+6
d)
x-2
8.
Which is another way of correctly expressing
 (x  - 3)(x - 3)?
a)
(x2 - 32)
b)
(x2 - 3)
c)
(x + 3)(x - 3)
d)
(x - 3)2
9.
Factor out the GCF:
10x³ - 15x
a)
x(10x² - 15)
b)
5x(2x² - 3)
c)
5(2x³ - 3x)
d)
5x²(10x - 3)
10.
Factor completely.
3x- 9x -120
a)
3(x - 8)(x + 5)
b)
3(x + 8)(x - 5)
c)
(3x + 8)(x - 5)
d)
(3x - 8)(x + 5)
11.
What are the factors of
25x2 - 81?
a)
(5x - 9)(5x + 9)
b)
(5x - 9)(5x - 9)
c)
(5x + 9)(5x + 9)
d)
Cannot be factored
12.

Factor 4b5+4b3+16b2

a)

4b3(b4+b2+4b)

b)

4b3(b4+4b+5)

c)

4(b5+b3+4b2)

d)

4b2(b3+b+4)

13.
Factor completely.
k2 -2k - 24
a)
(k+4)(k-6)
b)
(k+4)(k+6)
c)
(k+6)(k-1)
d)
(k-4)(k+6)
14.
Factor completely:
 3x² + 5x - 12
a)
(3x + 4)(x-3)
b)
(3x - 4)(x + 3)
c)
(3x + 3)(x -4)
d)
(3x - 3)(x + 4)
15.
Factor
3v2 - 4v - 7
a)
(3v-7)(v+1)
b)
3(v-7)(v-1)
c)
(3v+1)(v-9)
d)
(3v+1)(v-10)
16.
Factor:
p2 - 14p
a)
p(1 - 14)
b)
2p(p - 7)
c)
p2(1-14)
d)
p(p - 14)
17.
Which is another way of correctly expressing
 (x  - 3)(x - 3)?
a)
(x2 - 32)
b)
(x2 - 3)
c)
(x + 3)(x - 3)
d)
(x - 3)2
18.
x- 16
a)
Prime
b)
( x - 4) ( x + 4) 
c)
( x - 8) ( x + 8) 
d)
( x - 4) ( x - 4) 
19.
Factor:
x+ 7x - 30
a)
(x + 10)(x - 7)
b)
(x - 10)(x + 3)
c)
(x + 10)(x + 3)
d)
(x + 10)(x - 3)
20.
Factor: 
25x2 - 100y2
a)
( 5x - 10y) (5xy + 10y) 
b)
( 5x - 10y)2
c)
Prime
d)
( 5x - 50y) (5x + 50y) 
21.
Factor: x2 + 24x + 144
a)
(x + 12)2
b)
(x + 9)2
c)
(x + 15)2
d)
(x + 13)2
22.

Solve by factoring: x2 + 12x + 35 = 0

a)

x = 5 and x = 7

b)

x = -5 and x = -7

c)

x = -5 and x = 7

d)

x = 5 and x = -7

23.

Solve by factoring: x2 - 7x + 10 = 0

a)

x = 5 and x = 2

b)

x = -5 and x = -2

c)

x = -5 and x = 2

d)

x = 5 and x = -2

24.

Solve for x: (x - 5)(4x + 7) = 0

a)

x = 5 and x = -4/7

b)

x = -5 and x = 4/7

c)

x = 5 and x = -7/4

d)

x = -5 and x = 7/4

25.

Factor x2 - 49

a)

(x - 7)(x + 7)

b)

(x - 7)(x - 7)

c)

(x + 7)(x + 7)

d)

Does not factor

26.

Solve for x.

x2 = 36

a)

x = ± 6

b)

x = ± 18

c)

x = 6

d)

x = 18

27.

Solve for x.

3x2 = 48

a)

x = ± 4

b)

x = ± 12

c)

x = ± 16

d)

x = √16

28.

Solve for x.

(x - 7)2 + 4 = 40

a)

x = -1, -13

b)

x = 1, 7

c)

x = -1, -7

d)

x = 1, 13

e)

x = -7, -13

29.

Solve for x.

(x - 4)2 + 8 = 33

a)

x = -9, 1

b)

x = -1, 9

c)

x = 1, 9

d)

x = 3, 11

e)

x = -11, -3

30.

Factor using GCF or monomial factoring:

2n2-8n3

a)

2n2(n-4n2)

b)

2n2(1-4n)

c)

2n3(10-8n2)

d)

3n(1-4n)

31.

What is the first step when factoring polynomials?

a)

Find the GCF

b)

List all the terms

c)

Make the X and fill in the top and bottom

d)

Multiply a and c

32.

What is the common monomial factor of 6x3+3x212x6x^3+3x^2-12x  ?

a)

33  

b)

2x2x  

c)

3x3x  

d)

3x23x^2  

33.

The factored form of m2 + 6m + 5 is

(m+2)(m+ 3)

a)

true

b)

false

34.
Factor
x+ 9x - 36
a)
(x + 12)(x - 3)
b)
(x + 9)(x - 4)
c)
(x - 12)(x + 3)
d)
(x - 9)(x - 4)
35.
factor:x- 25
a)
( x + 5 ) ( x - 5 ) 
b)
( x - 5 ) ( x - 5 ) 
c)
( x + 5 ) ( x + 5 ) 
d)
Prime
36.
Factor:
x+ 7x - 30
a)
(x + 10)(x - 7)
b)
(x - 10)(x + 3)
c)
(x + 10)(x + 3)
d)
(x + 10)(x - 3)
37.
Factor
a2 - a - 12
a)
(a - 4)(a + 3)
b)
(a + 6)(a - 4)
c)
(a - 6)(a + 4)
d)
(a + 4)(a - 3)
38.
Which of the following is a factor of
r2 -16r + 60 ?
a)
r + 6
b)
r + 10
c)
r - 6
d)
r -30
39.

Factor completely:
r2+r6r^2+r-6  

a)

(r+2)(r+3)\left(r+2\right)\left(r+3\right)  

b)

(r+4)(r7)\left(r+4\right)\left(r-7\right)  

c)

(r2)(r3)\left(r-2\right)\left(r-3\right)  

d)

(r2)(r+3)\left(r-2\right)\left(r+3\right)  

40.
Which of the following is a difference of perfect squares?
a)
x2 - 18
b)
4x2 + 36 
c)
9x2 - 100
d)
x2 + 4
41.
If a trinomial, ax2 +or- bx + c, has a positive "c" value, what do you know about the signs in its binomial factors?
a)
Both signs are positive.
b)
Both signs are negative. 
c)
One sign is positive and one is negative.
d)
The signs are the same, both + or both -
42.

Factor by GCF:

18a2-15a

a)

15a(3a-1)

b)

3a(6a-1)

c)

3(6a-5)

d)

3a(6a-5)

43.
Factor:
x2 - 9
a)
( x -9) (x - 9)
b)
(x + 3) (x + 3)
c)
(x + 3) (x - 3)
d)
( x + 9) (x-9)
44.
x- 400
a)
( x - 200) ( x + 200) 
b)
( x + 20) ( x + 20) 
c)
Prime
d)
( x - 20) ( x + 20) 
45.

What is the GCF?
28p3+16p2+16p28p^3+16p^2+16p  

a)

2p2p  

b)

4p4p  

c)

4p24p^2  

d)

8p2 8p^{2\ }  

46.

Factor completely:
6a2+48a546a^2+48a-54  

a)

(a1)(a+9)\left(a-1\right)\left(a+9\right)  

b)

6(a1)(a+9)6\left(a-1\right)\left(a+9\right)  

c)

(6a6)(a+9)\left(6a-6\right)\left(a+9\right)  

d)

(a1)(6a54)\left(a-1\right)\left(6a-54\right)  

47.

Factor completely
2p234p+1442p^2-34p+144  

a)

4p(p-4)

b)

(p-8)(p+10)

c)

2(p-8)(p-9)

d)

2(p-8)(p+9)

48.

Factor completely:
r2+r6r^2+r-6  

a)

(r+2)(r+3)\left(r+2\right)\left(r+3\right)  

b)

(r+4)(r7)\left(r+4\right)\left(r-7\right)  

c)

(r2)(r3)\left(r-2\right)\left(r-3\right)  

d)

(r2)(r+3)\left(r-2\right)\left(r+3\right)  

49.

Factor completely:
2p29p182p^2-9p-18  

a)

(7p+4)(p+10)\left(7p+4\right)\left(p+10\right)  

b)

(2p+3)(p+6)\left(2p+3\right)\left(p+6\right)  

c)

(2p+3)(p6)\left(2p+3\right)\left(p-6\right)  

d)

(7p+8)(p+6)\left(7p+8\right)\left(p+6\right)  

50.

Factor out the GCF:
56x240x+8056x^2-40x+80  

a)

8(7x25x+10)8\left(7x^2-5x+10\right)  

b)

4(14x210x+20)4\left(14x^2-10x+20\right)  

c)

8(7x240x+80)8\left(7x^2-40x+80\right)  

d)

8(7x2+x10)8\left(7x^2+x-10\right)  

51.

Factor completely:
2x26x1082x^2-6x-108  

a)

(x9)(x+6)\left(x-9\right)\left(x+6\right)  

b)

2(x+9)(x6)2\left(x+9\right)\left(x-6\right)  

c)

2(x9)(x+6)2\left(x-9\right)\left(x+6\right)  

d)

(x+9)(x6)\left(x+9\right)\left(x-6\right)  

52.

Factor completely:
x27x+12x^2-7x+12  

a)

(x4)(x3)\left(x-4\right)\left(x-3\right)  

b)

(x2)(x6)\left(x-2\right)\left(x-6\right)  

c)

(x1)(x12)\left(x-1\right)\left(x-12\right)  

d)

(x5)(x2)\left(x-5\right)\left(x-2\right)  

53.

Factor completely:
x28x+15x^2-8x+15  

a)

(x1)(x15)\left(x-1\right)\left(x-15\right)  

b)

(x+1)(x15)\left(x+1\right)\left(x-15\right)  

c)

(x3)(x5)\left(x-3\right)\left(x-5\right)  

d)

(x+3)(x5)\left(x+3\right)\left(x-5\right)  

54.

Factor completely:
7x24x37x^2-4x-3  

a)

7(x+3)(x+1)7\left(x+3\right)\left(x+1\right)  

b)

(x+3)(7x1)\left(x+3\right)\left(7x-1\right)  

c)

(7x+3)(x+1)\left(7x+3\right)\left(x+1\right)  

d)

(7x+3)(x1)\left(7x+3\right)\left(x-1\right)  

55.

Factor out the GCF:
18x6+16x3+14x18x^6+16x^3+14x  

a)

2x(16x5+14x2+12)2x\left(16x^5+14x^2+12\right)  

b)

2x(18x5+16x2+14)2x\left(18x^5+16x^2+14\right)  

c)

2x2(9x4+8x2+7x)2x^2\left(9x^4+8x^2+7x\right)  

d)

2x(9x5+8x2+7)2x\left(9x^5+8x^2+7\right)  

56.

Factor completely:
5x212x+75x^2-12x+7  

a)

Not factorable

b)

(5x7)(x1)\left(5x-7\right)\left(x-1\right)  

c)

(7n3)(n6)\left(7n-3\right)\left(n-6\right)  

d)

(5n8)(7n+8)\left(5n-8\right)\left(7n+8\right)  

57.

Factor completely:
5x2+24x365x^2+24x-36  

a)

not factorable

b)

(5x+6)(x6)\left(5x+6\right)\left(x-6\right)  

c)

(5x6)(x+6)\left(5x-6\right)\left(x+6\right)  

d)

5(n6)2 5\left(n-6\right)^{2\ }  

58.

Factor completely:
9x219x^2-1  

a)

(3x1)2\left(3x-1\right)^2  

b)

Not factorable

c)

(3x1)(3x+1)\left(3x-1\right)\left(3x+1\right)  

d)

(9v1)(9v+1)\left(9v-1\right)\left(9v+1\right)  

59.

Factor completely:
x2+2x+1x^2+2x+1  

a)

(x+4)2\left(x+4\right)^2  

b)

(x+1)2\left(x+1\right)^2  

c)

(x1)(x+1)\left(x-1\right)\left(x+1\right)  

d)

(x4)2\left(x-4\right)^2  

60.

Find the GCF:
8x2+16x128x^2+16x-12  

a)

2

b)

4

c)

6

d)

8

61.

Factor completely:
12r340r212r^3-40r^2  

a)

(2x7)(x9)\left(2x-7\right)\left(x-9\right)  

b)

4x(3x+10)4x\left(3x+10\right)  

c)

4x2(3x+10)4x^2\left(3x+10\right)  

d)

x2(12x40)x^2\left(12x-40\right)  

62.

Factor completely:
18x2150x+16818x^2-150x+168  

a)

18(n4)(n+7)18\left(n-4\right)\left(n+7\right)  

b)

6(3n4)(n7)6\left(3n-4\right)\left(n-7\right)  

c)

(7n10)(n1)\left(7n-10\right)\left(n-1\right)  

d)

5(5n1)(n+9)5\left(5n-1\right)\left(n+9\right)  

63.

Factor completely:
x29x^2-9  

a)

Not factorable

b)

(x3)2\left(x-3\right)^2  

c)

(x+3)(x3)\left(x+3\right)\left(x-3\right)  

d)

x3x-3  

64.

Factor completely:
9x2+12x+49x^2+12x+4  

a)

(9r2)(9r+2)\left(9r-2\right)\left(9r+2\right)  

b)

(3r2)(3r+2)\left(3r-2\right)\left(3r+2\right)  

c)

(3r+2)2\left(3r+2\right)^2  

d)

(9r+2)2\left(9r+2\right)^2  

65.
Factor completely: 3x2-36x+96
a)
(x-4)(x-8)
b)
3(x-4)(x-8)
c)
3(x+1)(x+32)
d)
3(x-2)(x+16)
66.
Factor completely: 25x2+60x+36
a)
(25x-6)(x-1)
b)
(5x-6)(5x-6)
c)
(5x+6)2
d)
(25x+4)(x+9)
67.
Factor completely: 2x2+22x+60
a)
(2x+10)(x+6)
b)
(x+5)(x+6)
c)
2(x+1)(x+30)
d)
2(x+5)(x+6)
68.
Factor completely: -5x2+30x-40
a)
-5(x-2)(x-4)
b)
(x-2)(x-4)
c)
-(5x-8)(x-5)
d)
(5x+10)(x+4)
69.
Factor completely: 16x2-24x+9
a)
(16x-3)(x-3)
b)
(16x+9)(x+1)
c)
(4x-3)(4x-3)
d)
(4x+3)(4x+3)
70.
Factor completely: -2x2-22x-60
a)
(x-5)(x-6)
b)
-2(x+3)(x+10)
c)
(x-2)(x-30)
d)
-2(x+5)(x+6)
71.
Factor completely: 49x2+28x+4
a)
(49x+4)(x+1)
b)
(7x+2)2
c)
(7x+1)(7x+4)
d)
(7x-2)2
72.
Factor completely: x2-6x+8
a)
(x-2)(x-4)
b)
(x-1)(x-8)
c)
(x+2)(x+4)
d)
(x+1)(x+8)
73.
Factor completely: -3x2-24x-21
a)
(3x-3)(x-7)
b)
(x-7)(x-1)
c)
-3(x+7)(x+1)
d)
(x+21)(x+1)
74.
Factor completely: x2+16x+64
a)
(x+4)(x+16)
b)
(x-8)(x-8)
c)
(x+2)(x+32)
d)
(x+8)(x+8)
75.
Factor completely: x2-13x+40
a)
(x-5)(x-8)
b)
(x+5)(x+8)
c)
(x-4)(x-10)
d)
(x-2)(x-20)
76.
Factor completely: 3x2-8x+4
a)
(3x-4)(x-1)
b)
(3x-2)(x-2)
c)
(x+1)(3x+4)
d)
(x+2)(3x+2)
77.
Factor completely: 3x2-36x+96
a)
(x-4)(x-8)
b)
3(x-4)(x-8)
c)
3(x+1)(x+32)
d)
3(x-2)(x+16)
78.
Factor completely: 49x2+28x+4
a)
(49x+4)(x+1)
b)
(7x+2)2
c)
(7x+1)(7x+4)
d)
(7x-2)2
79.
Which of the following is a difference of perfect squares?
a)
x2 - 18
b)
4x2 + 36 
c)
9x2 - 100
d)
x2 + 4
80.
If a trinomial, ax+ bx + c, has a negative "c" value, what do you know about the signs in its binomial factors.
a)
The signs are both +. 
b)
The signs are one + and one -
c)
The signs are both -
81.
What are the factors of
25x2 - 81?
a)
(5x - 9)(5x + 9)
b)
(5x - 9)(5x - 9)
c)
(5x + 9)(5x + 9)
d)
Cannot be factored
82.
Factor Completely.  
8x3 - 18x
a)
2x(4x2-9)                                    
b)
(4x2+3)(2x-3)
c)
2x(2x+3)(2x-3)
d)
PRIME
83.
Factor completely:
 3x² + 5x - 12
a)
(3x + 4)(x-3)
b)
(3x - 4)(x + 3)
c)
(3x + 3)(x -4)
d)
(3x - 3)(x + 4)
84.
Which of the following is a factor of 3x² - 7x + 2?
a)
x - 1
b)
x - 2
c)
3x - 2
d)
3x + 1
85.

6x2-x-2=0

a)

x= -2/3, 1/2

b)

x= 2/3, -1/2

c)

x= -2/3, -1/2

86.

3x2-48=0

a)

x= 4, 4

b)

x= -4, -4

c)

x= -4, 4

87.
What is the first step in solving 
(x + 2)(x - 3) = 0      ?
a)
Plug in zero for x
b)
Solve for x
c)
FOIL
d)
Set each binomial factor equal to zero
88.
Solve by factoring:
x2 - 9x = 0
a)
9
b)
0, 9
c)
-9, 0
d)
-9
89.

Factor:

80x5-70x2-60x7

a)

2x2(80x3-70-60x6)

b)

10x2(80x4-70x-60x6)

c)

10x2(8x3-7-6x5)

d)

3x2(80x3-40-60x5)

90.
Is this a perfect square trinomial?
x2 + 16x + 64
a)
Yes
b)
No
91.
Is this a perfect square trinomial?
x2 + 10x + 100
a)
Yes
b)
No
92.
Factor: x2 - 30x + 225
a)
(x + 15)2
b)
(x - 15)2
c)
(x + 25)2
d)
(x - 25)2
93.
4x2 - 42x + 110
a)
(2x + 55)2
b)
(2x - 55)2
c)
 (2x - 21)2
d)
Not a Perfect Square Trinomial
94.
81x2 -90x + 25
a)
(9x + 5)2
b)
(9x - 5)2
c)
(9x - 45)2
d)
Not a Perfect Square Trinomial
95.

Which of these can factor using difference of two squares?

a)

144x2 - 49y2

b)

x2 + 4x - 12

c)

100x2 + 20x + 1

d)

14x - 16

96.

4x2 - 16

a)

4(2x + 4) (x - 2)

b)

4(4x + 2) (x - 2)

c)

(2x + 4) (2x - 4)

d)

4(x + 2) (x - 2)

97.
Factor
x+ 9x - 36
a)
(x + 12)(x - 3)
b)
(x + 9)(x - 4)
c)
(x - 12)(x + 3)
d)
(x - 9)(x - 4)
98.
Factor
n2 + 16n + 63
a)
(n-7)(n+4)
b)
(n+7)(n-9)
c)
(n-3)(n-10)
d)
(n+7)(n+9)
99.
Factor:
x+ 7x - 30
a)
(x + 10)(x - 7)
b)
(x - 10)(x + 3)
c)
(x + 10)(x + 3)
d)
(x + 10)(x - 3)
100.
Factor
a2 - a - 12
a)
(a - 4)(a + 3)
b)
(a + 6)(a - 4)
c)
(a - 6)(a + 4)
d)
(a + 4)(a - 3)
101.
Factor
3a2 + 4a + 1
a)
(7a-10)(a-8)
b)
Not factorable
c)
(3a+1)(a+1)
d)
(3a-1)(a-1)
102.
Factor:
 2m² + 3m - 9
a)
2(m + 3)(m - 3)
b)
(2m - 3)²
c)
(m + 3)(2m - 3)
d)
(2m + 3)(m - 3)
103.
Factor
3v2 - 4v - 7
a)
(3v-7)(v+1)
b)
3(v-7)(v-1)
c)
(3v+1)(v-9)
d)
(3v+1)(v-10)
104.
Factor
3x² + 17x + 10
a)
(3x-2)(x-5)
b)
(3x+2)(x+5)
c)
(3x-5)(x-2)
d)
(3x+5)(x+2)
105.
Factor completely: 
3x2 + 18x +15
Hint: Factor GCF first.
a)
3(x2 + 6x + 5)
b)
(x + 5)(x + 1)
c)
3(x + 5)(x + 1)
d)
Prime
106.

Factor Completely:  3n² - 15n + 18

Hint: Factor GCF first.

a)
(n - 2)(n - 3)
b)
3(n + 2)(n + 3)
c)
(3n - 9)(n - 2)
d)
3(n - 3)(n - 2)
107.
Which of these is a factor of 18?
a)
4
b)
5
c)
36
d)
3
108.
Which is not a factor of 20?
a)
4
b)
2
c)
5
d)
40
109.
Which pair of numbers has a GCF of 3?
a)
3 and 18
b)
8 and 24
c)
12 and 18
d)
1 and 3
110.
What is the greatest common factor of 20 and 16?
a)
8
b)
4
c)
2
d)
5
111.

What are the factors for 12?

a)

1, 12

b)

1, 2, 3, 4, 6, 8, 12

c)

1, 2, 3, 4, 6, 12

d)

2, 3, 4, 6

112.

What are the factors for 25?

a)

1, 2, 3, 5, 12, 25

b)

1, 5, 25

c)

5,25

d)

1, 3, 5, 25

113.

Is 23 a prime number?

a)

composite

b)

prime

114.

Which number is not a multiple of 10?

a)

20

b)

35

c)

40

d)

50

115.

Which number is not a multiple of 6?

a)

12

b)

24

c)

37

d)

42

116.

Which number is not a multiple of 9?

a)

18

b)

72

c)

13

d)

36

117.

What is the GCF of 3 and 6?

a)

1

b)

2

c)

3

d)

6

118.

List the first (4) multiples of 8

a)

1, 2, 4, 8

b)

8, 16, 24, 32

119.

Find the Least Common Multiple (LCM) of 8 and 12

a)

812

b)

20

c)

96

d)

24

120.
A prime number is...
a)
a number that has only one factor.
b)
a number that has at least two factors.
c)
a number that has more than two factors.
d)
a number that has only two factors.
(1 and itself)
121.
Find the greatest common factor of 20 and 30
a)
2
b)
5
c)
10
d)
15
122.
What is the LCM of 4 and 12? 
a)
4
b)
8
c)
12
d)
16
123.
When we skip count, we are listing .....
a)
factors
b)
divisors 
c)
addition 
d)
multiples
124.
Factor
d2 - 10d + 25
a)
(d + 5) (d - 5)
b)
(d - 15) (d + 10)
c)
(d + 5) (d - 20)
d)
(d - 5) (d - 5)
125.
Factor:x- 25
a)
( x + 5 ) ( x - 5 ) 
b)
( x - 5 ) ( x - 5 ) 
c)
( x + 5 ) ( x + 5 ) 
d)
Prime
126.
Factor completely:
 3x² + 5x - 12
a)
(3x + 4)(x-3)
b)
(3x - 4)(x + 3)
c)
(3x + 3)(x -4)
d)
(3x - 3)(x + 4)
127.
Factor completely: 2x2+22x+60
a)
(2x+10)(x+6)
b)
(x+5)(x+6)
c)
2(x+1)(x+30)
d)
2(x+5)(x+6)
128.
What are the factors of
25x2 - 81?
a)
(5x - 9)(5x + 9)
b)
(5x - 9)(5x - 9)
c)
(5x + 9)(5x + 9)
d)
Cannot be factored
129.

What is the first step when factoring polynomials?

a)

Find the GCF

b)

List all the terms

c)

Make the X and fill in the top and bottom

d)

Multiply a and c

130.

What is the GCF of 18xy and 12x

a)

3

b)

3x

c)

6x

d)

2x

131.

We can't factor using difference of two square this

49x2 + 4y2. Why?

a)

Because 4 is not a perfect cubed number.

b)

Because 4 is not a perfect squared number.

c)

Because 49 is not a perfect squared number.

d)

Because we can't factor using difference of two squares if it is addition sign.

132.
Factor
k2+7k+10
a)
(k+2)(k+5)
b)
(k-2)(k-5)
c)
(k+10)(k+4)
d)
(k+2)(k-5)
133.
Factor Completely: 
3x2 + 18x +15
a)
3(x2 + 6x + 5)
b)
(x + 5)(x + 1)
c)
3(x + 5)(x + 1)
d)
Prime
134.
Factor Completely: 
2k2-14k-60
 
a)
2(k-10)(k-3)
b)
Not Factorable
c)
(k-5)(k+9)
d)
2(k-10)(k+3)
135.
Factor x2 + 7x + 12
a)
(x + 2)(x + 10)
b)
(x + 3)(x + 4)
c)
(x + 4)(x + 5)
d)
(x + 4)(x + 6)
136.
Factor:
x+ 7x - 30
a)
(x + 10)(x - 7)
b)
(x - 10)(x + 3)
c)
(x + 10)(x + 3)
d)
(x + 10)(x - 3)
137.
Factor
x+ 9x - 36
a)
(x + 12)(x - 3)
b)
(x + 9)(x - 4)
c)
(x - 12)(x + 3)
d)
(x - 9)(x - 4)
138.
Factor
n2 + 5n - 6
a)
(n - 2)(n - 3)
b)
(n - 1)(n + 6)
c)
(n + 1)(n - 6)
d)
(n + 2)(n - 3)
139.
What are the factors of
25x2 - 81?
a)
(5x - 9)(5x + 9)
b)
(5x - 9)(5x - 9)
c)
(5x + 9)(5x + 9)
d)
Cannot be factored
140.

Factor 4b5+4b3+16b2

a)

4b3(b4+b2+4b)

b)

4b3(b4+4b+5)

c)

4(b5+b3+4b2)

d)

4b2(b3+b+4)

141.
Factor completely.
k2 -2k - 24
a)
(k+4)(k-6)
b)
(k+4)(k+6)
c)
(k+6)(k-1)
d)
(k-4)(k+6)
142.
Factor completely:
 3x² + 5x - 12
a)
(3x + 4)(x-3)
b)
(3x - 4)(x + 3)
c)
(3x + 3)(x -4)
d)
(3x - 3)(x + 4)
143.
Factor by grouping:
3x3-x2+6x-2
a)
(x2+2)(3x+1)
b)
 (x2+2)(3x-1)
c)
(3x3+6x)(x2-2)
d)
none of the aboe
144.
Factor completely: 2x2+22x+60
a)
(2x+10)(x+6)
b)
(x+5)(x+6)
c)
2(x+1)(x+30)
d)
2(x+5)(x+6)
145.
Factor completely: x2-6x+8
a)
(x-2)(x-4)
b)
(x-1)(x-8)
c)
(x+2)(x+4)
d)
(x+1)(x+8)
146.
Factor completely: x2+16x+64
a)
(x+4)(x+16)
b)
(x-8)(x-8)
c)
(x+2)(x+32)
d)
(x+8)(x+8)
147.
Factor completely: x2-13x+40
a)
(x-5)(x-8)
b)
(x+5)(x+8)
c)
(x-4)(x-10)
d)
(x-2)(x-20)
148.
Factor completely: 3x2-8x+4
a)
(3x-4)(x-1)
b)
(3x-2)(x-2)
c)
(x+1)(3x+4)
d)
(x+2)(3x+2)
149.
Factor:
x+ 7x - 30
a)
(x + 10)(x - 7)
b)
(x - 10)(x + 3)
c)
(x + 10)(x + 3)
d)
(x + 10)(x - 3)
150.
Factor
x+ 9x - 36
a)
(x + 12)(x - 3)
b)
(x + 9)(x - 4)
c)
(x - 12)(x + 3)
d)
(x - 9)(x - 4)
151.
Factor
a2 - a - 12
a)
(a - 4)(a + 3)
b)
(a + 6)(a - 4)
c)
(a - 6)(a + 4)
d)
(a + 4)(a - 3)
152.
Factor:
 2x² - 3x - 2
a)
(2x - 2)(x + 1)
b)
(2x + 1)(x - 2)
c)
(2x - 1)(x - 2)
d)
(2x - 1) (x - 1)
153.
Factor:x- 25
a)
( x + 5 ) ( x - 5 ) 
b)
( x - 5 ) ( x - 5 ) 
c)
( x + 5 ) ( x + 5 ) 
d)
Prime
154.
Factor
x2 + 11x + 24
a)
(x + 6)(x + 4)
b)
(x + 10)(x + 2)
c)
(x + 8)(x + 3)
d)
(x + 2)(x + 12)
155.
Factor completely.
3x2 + 10x - 8
a)
(3x + 2)(x + 4)
b)
(7x + 5)(x + 2)
c)
(3x - 2)(x + 4)
d)
(7x - 3)(x - 4)
156.
Factor completely.
5x2 - 7x + 2
a)
5(x - 2)(x + 1)
b)
(5x - 2)(x + 1)
c)
(7x - 1)(x - 4)
d)
(5x - 2)(x - 1)
157.
Factor:
x2 - 9
a)
(x + 3)(x - 3)
b)
(x + 3)2
c)
(x - 3)2
d)
(x+3)(x+3)
158.
Factor Completely.  
8x3 - 18x
a)
2x(4x2-9)                                    
b)
(4x2+3)(2x-3)
c)
2x(2x+3)(2x-3)
d)
PRIME