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Worksheets

Factoring - All Techniques

Total questions: 131

Worksheet time: 7hrs 19mins

Name
Class
Date
1.
What is the greatest common factor of 48x2and 32x3?
a)
8x2
b)
16x2
c)
16x
d)
96x3
2.
What is the GCF of 20 and 30?
a)
5
b)
2
c)
10
d)
20
3.

What is the greatest common factor of 30x and 56x2

a)

4x

b)

6x

c)

2x

d)

x

4.
What is the GCF of 10a2b3 and 20a2b2?
a)
20a2b3
b)
10a2b3
c)
20ab2
d)
10a2b2
5.

What is 144x3 written in prime factorization form?

a)

12*12*x*x*x

b)

2*2*2*2*3*3*x*x*x

c)

2*2*2*3*3*3*x*x*x

d)

2*2*12*x*x*x

6.

Find the GCF of the following terms;


5xy3z ; 26x2y5z2 ; 10x3yz2

a)

5xyz

b)

x2y3z5

c)

2xy3z

d)

xyz

7.
Find the greatest common factor of 32 and 48
a)
2
b)
8
c)
16
d)
18
8.
What is the GCF? 3x+9
a)
x
b)
3
c)
9
d)
3x
9.
What is the GCF of 18k and 15k3
a)
3k2
b)
3k3
c)
3k
d)
5k
10.
What is the GCF? 2x2-4x+8
a)
2x
b)
2
c)
x
d)
1
11.
What is the greatest common factor of the three terms in the expression?
24m3n5p + 6mn4p2 + 4mn5
a)
2mn
b)
24mn4
c)
2mn4
d)
2mn4p
12.

The GCF of 24, 36, and 72 is.....

a)

12

b)

18

c)

36

d)

24

13.

What is the prime factorization of the number 60?

a)

4 x 3 x 5

b)

2 x 2 x 3 x 5

c)

2 x 3 x 3 x 5

d)

2 x 3 x 1 0

14.

What is the GCF of 18 and 45?

a)

3

b)

12

c)

9

d)

6

15.

The common factors of 16 and 24 are....

a)

2, 4 and 8

b)

2, 4, 12, and 24

c)

1, 2, 4 and 8

d)

2, 4 and 8

16.

The GCF of 42, 98, and 182 is....

a)

2

b)

14

c)

7

d)

21

17.
What is the greatest common factor of the monomials a2b5 and a3b3
a)
a2b3
b)
a2b5
c)
a3b3
d)
a3b5
18.

Multiply 5x(2x + 3)

a)

10x2 + 15x

b)

7x + 15x

c)

7x2 + 8x

d)

25x2

19.
Which of the following is NOT a monomial?
a)
8xy
b)
5x3 + 6x2
c)
9x3y5z8
d)
12
20.
what is the GCF of twenty-two and seventy-two
a)
1
b)
3
c)
2
21.

4x2 - 64y2

a)

Prime

b)

( 2x - 32y) (2 x + 32y)

c)

4( 2x - 8y) (2 x - 8y)

d)

4( x + 4y) (x - 4y)

22.
3x- 75
a)
3( x + 5 ) ( x - 5 ) 
b)
Prime
c)
( x + 5 ) ( x - 5 ) 
d)
3( x - 5 ) ( x - 5 ) 
23.
x- 25
a)
( x + 5 ) ( x - 5 ) 
b)
( x - 5 ) ( x - 5 ) 
c)
( x + 5 ) ( x + 5 ) 
d)
Prime
24.
x- 225
a)
( x + 15) ( x + 15) 
b)
Prime
c)
( x - 15) ( x + 15) 
d)
( x - 15) ( x - 15) 
25.

What is the factor of x2 - 9?

a)

x+3

b)

(x+3)(x-3)

c)

(x-3)(x-3)

d)

x-3

26.

What is the factor of 4x2 - 64?

a)

2x-8(8)

b)

(2x+8)(2x-8)

c)

(x+8)(x-8)

d)

4(x -16)

27.

The pattern

x3y3x^3-y^3  is called a/an _________.

a)

Difference of Two Squares

b)

Sum of Two Cubes

c)

Difference of Two Cubes

d)

Square of a Binomial

28.

What must ALWAYS be done before factoring polynomials?

a)

Factor the difference of two squares

b)

Look for the value of the variables

c)

Find the values of a, b and c

d)

Look for the Greatest Common Factor (GCF)

29.

The binomial 

x3+y3x^3+y^3 is called a/an _________.

a)

Difference of Two Squares

b)

Sum of Two Cubes

c)

Difference of Two Cubes

d)

Square of a Binomial

30.

Factoring the sum or difference of two cubes can be used ONLY if the two terms of the binomials have perfect square roots.

a)

TRUE

b)

FALSE

31.

Factor completely 64x6+y664x^6+y^6


a)

(4x2+y2)(16x44x2y2y4)\left(4x^2+y^2\right)\left(16x^4-4x^2y^2-y^4\right)  

b)

(4x2y2)(16x4+4x2y2+y4)\left(4x^2-y^2\right)\left(16x^4+4x^2y^2+y^4\right)  

c)

(4x2+y2)(16x44x2y2+y4)\left(4x^2+y^2\right)\left(16x^4-4x^2y^2+y^4\right)  

d)

(4x2y2)(16x44x2y2y4)\left(4x^2-y^2\right)\left(16x^4-4x^2y^2-y^4\right)  

32.

To get the cube root of a variable with exponent, divide the exponent by three and raise it to the same base.

a)

TRUE

b)

FALSE

33.

Factor 27x36427x^3-64  


a)

(3x+4)(9x212x+16)\left(3x+4\right)\left(9x^2-12x+16\right)  

b)

(3x+4)(9x2+12x+16)\left(3x+4\right)\left(9x^2+12x+16\right)  

c)

(3x4)(9x212x+16)\left(3x-4\right)\left(9x^2-12x+16\right)  

d)

(3x4)(9x2+12x+16)\left(3x-4\right)\left(9x^2+12x+16\right)  

34.

Which of the following is the complete factored form of x3y9+1000x^3y^9+1000  


a)

(xy3+10)(x2y610xy3+100)\left(xy^3+10\right)\left(x^2y^6-10xy^3+100\right)  

b)

(xy+10)(x2y210xy+100)\left(xy^{ }+10\right)\left(x^2y^2-10xy^{ }+100\right)  

c)

(xy310)(x2y6+10xy3+100)\left(xy^3-10\right)\left(x^2y^6+10xy^3+100\right)  

d)

(xy310)(x2y620xy3+100)\left(xy^3-10\right)\left(x^2y^6-20xy^3+100\right)  

35.

What must be multiplied to (5x2+2y)\left(5x^2+2y\right)  to get a product of  125x6+8y3125x^6+8y^3  ?


a)

(5x2+2y)\left(5x^2+2y\right)  

b)

(5x22y)\left(5x^2-2y\right)  

c)

(5x4+10x2y+2y2)\left(5x^4+10x^2y+2y^2\right)  

d)

(25x410x2y+4y2)\left(25x^4-10x^2y+4y^2\right)  

36.
Factor x2 – 16.
a)
(x + 2)(x – 8)
b)
(x – 4)(x – 4)
c)
(x + 4)(x + 4)
d)
(x + 4)(x – 4)
37.
Factor 4y2 – 9.
a)
(2y + 3)(2y – 3)
b)
prime
c)
(2y + 3)(2y + 3)
d)
(2y – 3)(2y – 3)
38.

Factor completely.

x2 - 144

a)

( x - 12 ) 2

b)

( x - 12 ) ( x - 12 )

c)

( x + 12 ) ( x + 12 )

d)

( x + 12 ) ( x - 12 )

39.

Factor completely.

y2 - 196

a)

( y - 14 ) ( y - 14 )

b)

( y + 14 ) ( y - 14 )

c)

( y + 13 ) ( y - 13 )

d)

( y - 13 ) 2

40.

Factor completely.

121x2 - 49

a)

( 11x - 7 ) 2

b)

( 11x - 7 ) ( 11x - 7 )

c)

( 11x + 7 ) ( 11x - 7 )

d)

( 12x + 7 ) ( 12x - 7 )

41.

Factor completely.

64x2 - 49y2

a)

( 8x + 7 ) ( 8x - 7 )

b)

( 8x - 7y ) ( 8x - 7y )

c)

( 8x + 7y ) ( 8x - 7y )

d)

( 8x - 7y )2

42.

Factor completely.

225x2 - 169y2

a)

( 15x - 13y )2

b)

( 15x + 13 ) ( 15x - 13 )

c)

( 25x + 13y ) ( 25x - 13y )

d)

( 15x + 13y ) ( 15x - 13y )

43.

What is ALWAYS the first step when factoring?

a)

Look for the GCF

b)

Write a, b, and c

c)

Difference of squares

d)

Use the X-Puzzle

44.

Which of these can factor using difference of two squares?

a)

144x2 - 49y2

b)

x2 + 4x - 12

c)

100x2 + 20x + 1

d)

14x - 16

45.

Which one is false about the difference of two squares?

a)

We can factor because there is addition sign.

b)

We can factor because there is a perfect squared number (Example: x2, 25, 49)

c)

Formula: a2 - b2 = (a + b) (a - b)

d)

We can factor because there is minus sign.

46.

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.

47.

Factor 4x2-9

a)

(4x-9)(4x+9)

b)

(2x-3)(2x+3)

c)

2x-3

d)

(2x-4.5)(2x+4.5)

48.

Factor x2-25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

49.

Factor completely.

121x2 - 49

a)

( 11x - 7 ) 2

b)

( 11x - 7 ) ( 11x - 7 )

c)

( 11x + 7 ) ( 11x - 7 )

d)

( 12x + 7 ) ( 12x - 7 )

50.
Fully Factor the Following
25x2-81
a)
(5x-9)2
b)
(5x+9)(5x-9)
c)
25(x-9)2
d)
(9x+5)(9x-5)
51.
32n2 - 50
(Check for a GCF)
a)
(16n - 25)(16n + 25)
b)
2(8n - 25)(8n + 25)
c)
2(4n + 5)(4n - 5)
d)
Not Factorable
52.
36m2 - 9
(Check for a GCF)
a)
(6m + 3)(6m - 3)
b)
9(4m2 - 1)
c)
9(2m - 1)(2m + 1)
d)
Not Factorable
53.
49n2 - 25
a)
Not Factorable
b)
(3n + 5)(3n - 5)
c)
(7n + 5)(7n - 5)
d)
(5n + 7)(5n - 7)
54.
x- 400
a)
( x - 200) ( x + 200) 
b)
( x + 20) ( x + 20) 
c)
Prime
d)
( x - 20) ( x + 20) 
55.
Factor: x2 + 24x + 144
a)
(x + 12)2
b)
(x + 9)2
c)
(x + 15)2
d)
(x + 13)2
56.

Factor


x2 + 18x + 81

a)

(x + 9)(x – 9)

b)

(x + 18)2

c)

(x + 9)2

d)

(x + 6)2

57.
Factor: x2 - 4x + 4
a)
(x + 2)2
b)
(x - 2)2
c)
(x + 4)2
d)
(x - 4)2
58.

Factor: x2 - 20x + 100

a)

(x-10)2

b)

(x+10)2

59.
Factor: x2 - 30x + 225
a)
(x + 15)2
b)
(x - 15)2
c)
(x + 25)2
d)
(x - 25)2
60.
Factor:
 n+ 10n + 25
a)
(n + 5)(n - 5)
b)
(n + 25)(n + 1)
c)
(n - 5)2
d)
(n + 5)2
61.
Is this a perfect square trinomial?
x2 + 16x + 64
a)
Yes
b)
No
62.
Is this a perfect square trinomial?
x2 + 18x + 9
a)
Yes
b)
No
63.
Is this a perfect square trinomial?
x2 + 14x + 49
a)
Yes
b)
No
64.
Which of the following is a perfect square trinomial?
a)
x2 – 4x – 4 
b)
x2 – 6x – 9 
c)
x2 + 6x – 9 
d)
x2 – 4x + 4 
65.
Is this a perfect square trinomial?
x2 + 16x + 64
a)
Yes
b)
No
66.
Is this a perfect square trinomial?
x2 + 14x + 49
a)
Yes
b)
No
67.
Is this a perfect square trinomial?
x2 + 6x + 9
a)
Yes
b)
No
68.
Is this a perfect square trinomial?
x2 + 18x + 9
a)
Yes
b)
No
69.
Is this a perfect square trinomial?
x2 + 10x + 100
a)
Yes
b)
No
70.
Factor: x2 + 24x + 144
a)
(x + 12)2
b)
(x + 9)2
c)
(x + 15)2
d)
(x + 13)2
71.
Factor: x2 - 4x + 4
a)
(x + 2)2
b)
(x - 2)2
c)
(x + 4)2
d)
(x - 4)2
72.
Factor: x2 - 30x + 225
a)
(x + 15)2
b)
(x - 15)2
c)
(x + 25)2
d)
(x - 25)2
73.
Factor:
 n+ 10n + 25
a)
(n + 5)(n - 5)
b)
(n + 25)(n + 1)
c)
(n - 5)2
d)
(n + 5)2
74.
Factor 

x2 + 18x + 81                      
a)
(x + 9)(x – 9)
b)
(x + 18)2
c)
(x + 9)2
d)
(x + 6)2
75.

Is a2  20a + 100 a^{2\ }-\ 20a\ +\ 100\  a perfect square trinomial?

a)

No

b)

Yes

c)

Cannot be identfied

76.

Is 4x2  12x + 84x^{2\ }-\ 12x\ +\ 8  a perfect square trinomial?

a)

No

b)

Yes

c)

Cannot be identfied

77.

Factor 4x2  12x + 94x^{2\ }-\ 12x\ +\ 9  completely

a)

(2x 3)2\left(2x\ -3\right)^2  

b)

(2x +3)2\left(2x\ +3\right)^2  

c)

(2x 3)(2x + 3)\left(2x\ -3\right)\left(2x\ +\ 3\right)  

d)

Cannot be SOLVED

78.

Factor p2 +24p + 144p^{2\ }+24p\ +\ 144

a)

(p + 12)2\left(p\ +\ 12\right)^2  

b)

(p 12)2\left(p\ -12\right)^2  

c)

(p  12)(P + 12)\left(p\ -\ 12\right)\left(P\ +\ 12\right)  

d)

(p 12)(p12)\left(p\ -12\right)\left(p-12\right)  

79.

Factor a218a +81a^2-18a\ +81

a)

(a9)(a9)\left(a-9\right)\left(a-9\right)  

b)

(a+9)(a+9)\left(a+9\right)\left(a+9\right)  

c)

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

d)

CANNOT BE SOLVED

80.

Factor x24x+4x^2-4x+4

a)

(x2)2\left(x-2\right)^2  

b)

(x4)2\left(x-4\right)^2  

c)

(x+2)(x+2)\left(x+2\right)\left(x+2\right)  

d)

(x2)(x+2)\left(x-2\right)\left(x+2\right)  

81.

Factor a2+30ab + 225b2a^2+30ab\ +\ 225b^2

a)

(a+15b)2\left(a+15b\right)^2  

b)

(a15b)2\left(a-15b\right)^2  

c)

(a15b)(a+15b)\left(a-15b\right)\left(a+15b\right)  

d)

(a+15)(a+15b2)\left(a+15\right)\left(a+15b^2\right)  

82.

Factor x2 +10x + 25x^{2\ }+10x\ +\ 25

a)

(x+5)(x+5)\left(x+5\right)\left(x+5\right)  

b)

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

c)

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

d)

(x2+5)(1+5)\left(x^2+5\right)\left(1+5\right)  

83.

Is this  x2 +50x + 625x^{2\ }+50x\ +\ 625 a perfect square trinomial?

a)

YesYes  

b)

NoNo  

c)

Cannot be IdentifiedCannot\ be\ Identified  

84.

Factor  (m418m2+81) completely\left(m^4-18m^2+81\right)\ completely

a)

(m+3)(m3)(m2+9)\left(m+3\right)\left(m-3\right)\left(m^2+9\right)  

b)

(m29)(m2+9)\left(m^2-9\right)\left(m^2+9\right)  

c)

(m3)(m3)(m+3)(m+3)\left(m-3\right)\left(m-3\right)\left(m+3\right)\left(m+3\right)  

d)

(m+3)(m3)(m29)\left(m+3\right)\left(m-3\right)\left(m^2-9\right)  

85.

Factor 

k2+7k+10k^2+7k+10  .

a)

(k+2)(k5)(k+2)(k-5)  

b)

(k+2)(k+5)(k+2)(k+5)  

c)

(k+10)(k+4)(k+10)(k+4)  

d)

(k2)(k5)(k-2)(k-5)  

86.

Factor k22k24k^2-2k-24  


a)

(k4)(k+6)(k-4)(k+6)  

b)

(k+4)(k+6)(k+4)(k+6)  

c)

(k+6)(k1)(k+6)(k-1)  

d)

(k+4)(k6)(k+4)(k-6)  

87.

Factor x2+9x36x^2+9x-36  


a)

(x+12)(x3)(x+12)(x-3)  

b)

(x+9)(x4)(x+9)(x-4)  

c)

(x9)(x4)(x-9)(x-4)  

d)

(x12)(x+3)(x-12)(x+3)  

88.
Factor
r2 -16r + 60
a)
(r - 15)(r + 4)
b)
(r - 6)(r + 10)
c)
(r - 6)(r - 10)
d)
(r +30)(r - 2)
89.

Factor completely: 3a2+4a+13a^2+4a+1  


a)

(3a1)(a1)(3a−1)(a−1)  

b)

(3a+1)(a+1)(3a+1)(a+1)  

c)

(3a1)(a+1)(3a−1)(a+1)  

d)

Prime

90.

Factor completely: 3n215n+183n²-15n+18  


a)

(x12)(x+3)(x-12)(x+3)  

b)

(3n9)(n2)(3n-9)(n-2)  

c)

3(n3)(n2)3(n-3)(n-2)  

d)

3(n+2)(n+3)3(n+2)(n+3)  

91.

What do we ALWAYS need to do first before factoring polynomials?

a)

Find the values of a, b and c

b)

Look for the value of the variables

c)

Factor the factors of c that the sum is b

d)

Look for the Greatest Common Factor

92.

What is the GCF of the trinomial?

3x2 - 9x -120

a)

2

b)

3

c)

6

d)

9

93.

To factor

x2+8x+15x^2+8x+15  , find two factors of 15 whose sum is _____.

a)

1

b)

2

c)

8

d)

15

94.

To factor

x21024x^2-10-24 , which of the following factors of 24-24  must be chosen in the process?

a)

2, 12-2,\ 12  

b)

6, 4-6,\ -4  

c)

2, 122,\ -12  

d)

6, 4-6,\ 4  

95.

What are the factors of x2+10x+21?

a)

(x+21)(x+1)

b)

(x-21)(x-1)

c)

(x+7)(x+3)

d)

(x-7)(x-3)

96.

What are the factors of m2-16m+63?

a)

(m+9)(m+7)

b)

(m-9)(m-7)

c)

(m+21)(m+3)

d)

(m-21)(m-3)

97.

What are the factors of t2+2t-24?

a)

(t+4)(t-6)

b)

(t+6)(t-4)

c)

(t-8)(t+3)

d)

(t-3)(t+8)

98.

What are the factors of 7p2+36p+32?

a)

(7p-8)(p+4)

b)

(7p+8)(p-4)

c)

(7p-8)(p-4)

d)

(7p+8)(p+4)

99.

What are the factors of 12y2+7y-10?

a)

(3y+2)(4y-5)

b)

(3y-2)(4y+5)

c)

(12y-10)(y+1)

d)

(12y+10)(y-1)

100.
Factor Completely:  15t² - 27t - 6
a)
3(5t +1)(t - 2)
b)
(3t - 6)(5t + 1)
c)
3(5t - 1)(t + 2)
d)
(15t + 6)(1t - 6)
101.
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
102.
Factor
3a2 + 4a + 1
a)
(7a-10)(a-8)
b)
Not factorable
c)
(3a+1)(a+1)
d)
(3a-1)(a-1)
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:
 2m² + 3m - 9
a)
2(m + 3)(m - 3)
b)
(2m - 3)²
c)
(m + 3)(2m - 3)
d)
(2m + 3)(m - 3)
105.

Factor Completely
v2+11v+28v^2+11v+28  

a)

(v7)(v+4)\left(v-7\right)\left(v+4\right)  

b)

(v+7)(v4)\left(v+7\right)\left(v-4\right)  

c)

(v+6)(v+3)\left(v+6\right)\left(v+3\right)  

d)

(v+7)(v+4)\left(v+7\right)\left(v+4\right)  

106.

x25x+6x^2-5x+6  Factor Completely

a)

(x3)(x2)\left(x-3\right)\left(x-2\right)  

b)

(x+3)(x2)\left(x+3\right)\left(x-2\right)  

c)

x(x10)x\left(x-10\right)  

d)

(x3)(x+2)\left(x-3\right)\left(x+2\right)  

107.

Factor Completely
m2+11m+10m^2+11m+10  

a)

4(m3)(m+10)4\left(m-3\right)\left(m+10\right)  

b)

(m+10)(m1)\left(m+10\right)\left(m-1\right)  

c)

(m+10)(m+1)\left(m+10\right)\left(m+1\right)  

d)

(m10)(m+1)\left(m-10\right)\left(m+1\right)  

108.

10. Give the complete factorization of  4n216n484n^2-16n-48

a)

(4n-6)(n+2)

b)

(n-6)(4n+2)

c)

4(n-6)(n+2)

109.

What are the factors of 12y2+7y-10?

a)

(3y+2)(4y-5)

b)

(3y-2)(4y+5)

c)

(12y-10)(y+1)

d)

(12y+10)(y-1)

110.

What are the factors of 7p2+36p+32?

a)

(7p-8)(p+4)

b)

(7p+8)(p-4)

c)

(7p-8)(p-4)

d)

(7p+8)(p+4)

111.

Factor by grouping:
x34x24x+16x^3-4x^2-4x+16  

a)

(x+4)(x+2)\left(x+4\right)\left(x+2\right)  

b)

(x4)(x24)\left(x-4\right)\left(x^2-4\right)  

c)

(x+4)(x24)\left(x+4\right)\left(x^2-4\right)  

d)

(x4)(x2)\left(x-4\right)\left(x-2\right)  

112.

Factor by grouping:

4p3+8p2+3p+64p^3+8p^2+3p+6  

a)

(2p2+3)(p+2)\left(2p^2+3\right)\left(p+2\right)  

b)

(2p2+6)(p+4)\left(2p^2+6\right)\left(p+4\right)  

c)

(4p2+3)(p+2)\left(4p^2+3\right)\left(p+2\right)  

d)

(4p2+8p)(3p+6)\left(4p^2+8p\right)\left(3p+6\right)  

113.

Factor by grouping:

x3+7x22x14x^3+7x^2-2x-14  

a)

(x22)(x7)\left(x^2-2\right)\left(x-7\right)  

b)

(x2+2)(x+7)\left(x^2+2\right)\left(x+7\right)  

c)

(x2+2)(x7)\left(x^2+2\right)\left(x-7\right)  

d)

(x22)(x+7)\left(x^2-2\right)\left(x+7\right)  

114.

What is the factored form of 5n310n2+3n65n^3-10n^2+3n-6  ?

a)

(5n2+3)(n2)\left(5n^2+3\right)\left(n-2\right)  

b)

(5n23)(n2)\left(5n^2-3\right)\left(n-2\right)  

c)

(5n3+3)(n2)\left(5n^3+3\right)\left(n-2\right)  

d)

10n(n26)10n\left(n^2-6\right)  

115.

Which of the following would be part of the factored form of  x32x2+5x+10x^3-2x^2+5x+10  ?

a)

(x2)\left(x-2\right)  

b)

(x+2)\left(x+2\right)  

c)

(x2+5)\left(x^2+5\right)  

d)

(x25)\left(x^2-5\right)  

116.

 If I were to factor  6n3+3n2+8n+46n^3+3n^2+8n+4  by grouping, my answer would look like  (3n2+4)\left(3n^2+4\right)  times what other binomial?

(a)  

117.

Factor by grouping:
x35x2+5x25x^3-5x^2+5x-25  

a)

(x25)(x5)\left(x^2-5\right)\left(x-5\right)  

b)

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

c)

(x25)(x+5)\left(x^2-5\right)\left(x+5\right)  

d)

(x2+5)(x+5)\left(x^2+5\right)\left(x+5\right)  

118.

Which of the following would be part of the factored form of  x33x2+2x6x^3-3x^2+2x-6  ?

a)

(x3)\left(x-3\right)  

b)

(x+3)\left(x+3\right)  

c)

(x2+2)\left(x^2+2\right)  

d)

(x22)\left(x^2-2\right)  

119.

Factor by grouping:
20p325p2+4p520p^3-25p^2+4p-5  

a)

(5p21)(4p5)\left(5p^2-1\right)\left(4p-5\right)  

b)

(5p2+1)(4p+5)\left(5p^2+1\right)\left(4p+5\right)  

c)

(5p2+1)(4p5)\left(5p^2+1\right)\left(4p-5\right)  

d)

(5p21)(4p+5)\left(5p^2-1\right)\left(4p+5\right)  

120.

Is  (5x4)\left(5x-4\right)  a factor of  5x34x225x+205x^3-4x^2-25x+20  ?

a)

Yes, it is a factor.

b)

No, it is not a factor.

121.
What is the factored form of 5n³-10n²+3n-6
a)
(5n²+3)(n-2)
b)
(5n²-3)(n-2)
c)
(5n³+3)(n-2)
d)
10n(n²-6)
122.

What is the factored form of x³+7x²-2x-14

a)

(x²-2)(x-7)

b)

(x²+2)(x-7)

c)

(x²+2)(x+7)

d)

(x²-2)(x+7)

123.
Simplify. Write your answer in standard form:
(3x³+9x²-2x)−(7x³-6x²+1)
a)
10x³+15x²-3x
b)
-4x³+3x²-2x+1
c)
-4x³+15x²-2x-1
d)
-4x³+15x²-2x+1
124.
Simplify the product.  Write the answer in standard form.
(x+2)(x-5)
a)
x²-3x-10
b)
2x²-3
c)
x²-10
d)
x²+2x-10
125.
Simplify the product.  Write the answer in standard form.
(y+6)(6y²+9y-8)
a)
49y³
b)
36y²+55y-48
c)
6y³+36y²+54y-48
d)
6y³+45y²+46y-48
126.
What is the factored form of 4x²+8x+10
a)
2x(2x²+4x+5)
b)
2x(x²+4x+10)
c)
2(2x²+4x+10)
d)
2(2x²+4x+5)
127.
What is the factored form of 2a³-2a²
a)
2a²(a)
b)
2a(2a²-a)
c)
2a²(a-1)
d)
2a²(a+1)
128.
What is the factored form of 6d⁴+9d³-12d²
a)
3d²(2d²+3d-4)
b)
3d²(3d²+6d-9)
c)
3d²(d³+3d²-4)
d)
6d²(d²+3d³-6)
129.
What is the GCF of 8c³+12c²+10c
a)
2
b)
4
c)
2c
d)
4c
130.
What is the factored form of 4p³+8p²+3p+6
a)
(2p²+3)(p+2)
b)
(2p²+6)(p+4)
c)
(4p²+3)(p+2)
d)
(4p²+8p)(3p+6)
131.
Is factoring fun?
a)
YES
b)
NO
c)
NO
d)
NO