Deck 6: Factoring

Question 1

Write the number as a product of prime numbers.
468

A)
B)
C)
D)

Answer 1

Question 2

Write the number as a product of prime numbers.
126

A) 2 ·3 ·7
B)
C)
D) 2 ·32 ·7

Answer 2

2 ·32 ·7

Question 3

Determine the greatest common factor for the group of terms.

A) xy
B)
C)
D)

Answer 3

Question 4

Determine the greatest common factor for the group of terms.

A)
B)
C) (2x - 1)
D)

Question 5

Determine the greatest common factor for the pair of numbers.
14, 80

A) 2
B) 14
C) 16
D) 32

Question 6

Determine the greatest common factor for the group of terms.

A)
B)
C)
D)

Question 7

Determine the greatest common factor for the group of terms.

A)
B)
C)
D)

Question 8

Determine the greatest common factor for the group of terms.

A)
B)
C)
D)

Question 9

Write the number as a product of prime numbers.
301

A) 7 ·41
B) 7 ·43
C)
D)

Question 10

Determine the greatest common factor for the group of terms.

A)
B)
C)
D)

Question 11

Write the number as a product of prime numbers.
1185

A)
B) 3 ·5 ·79
C)
D) 15 ·79

Question 12

Determine the greatest common factor for the group of terms.
11(a - b) and 2(a - b)

A) 2
B) 11
C) (a - b)
D) 22(a - b)

Question 13

Determine the greatest common factor for the group of terms.

A) 6xy
B)
C) 3xy
D) 3

Question 14

Write the number as a product of prime numbers.
30

A) 6 ·5
B)
C) 2 ·3 ·5
D)

Question 15

Determine the greatest common factor for the group of terms.
(x + 4)(x + 7), (x + 4)(x - 5)

A) (x - 140)
B) (x + 4)(x + 7)(x - 5)
C) (x + 4)
D) (x + 7)(x - 5)

Question 16

Determine the greatest common factor for the pair of numbers.
196, 35

A) 14
B) 35
C) 7
D) 1

Question 17

Write the number as a product of prime numbers.
175

A)
B) 25 ·5
C) 25 ·7
D)

Question 18

Determine the greatest common factor for the group of terms.

A)
B)
C)
D) x

Question 19

Determine the greatest common factor for the pair of numbers.
15, 54

A) 27
B) 3
C) 15
D) 81

Question 20

Determine the greatest common factor for the pair of numbers.
147, 280

A) 1
B) 7
C) 2
D) 14

Question 21

Factor the GCF from each term in the expression.
45x - 15

A) 15(3x)
B) 15(3x - 1)
C) 5(9x - 3)
D) 3(15x - 5)

Question 22

Factor the GCF from each term in the expression.
30x + 10

A) 5(6x + 2)
B) 10(3x + 1)
C) 10(3x)
D) 2(15x + 5)

Question 23

Factor the GCF from each term in the expression.
3x + 9

A) 3x + 3
B) 3(x + 9)
C) x
D) 3(x + 3)

Question 24

Factor the GCF from each term in the expression.

A)
B)
C)
D) )

Question 25

Factor the GCF from each term in the expression.

A)
B)
C)
D)

Question 26

Factor the GCF from each term in the expression.

A)
B)
C)
D)

Question 27

Factor the GCF from each term in the expression.

A)
B)
C)
D)

Question 28

Factor the GCF from each term in the expression.
x(x + 9) + 14(x +9)

A) 9x(x + 14)
B) (x +9)(x + 14)
C) 14x(x +9)
D)

Question 29

Factor the GCF from each term in the expression.

A)
B)
C)
D)

Question 30

Factor the GCF from each term in the expression.

A)
B)
C)
D)

Question 31

Factor the GCF from each term in the expression.

A)
B)
C)
D) No common factor

Question 32

Factor the GCF from each term in the expression.

A)
B)
C)
D)

Question 33

Factor the GCF from each term in the expression.

A)
B)
C)
D)

Question 34

Factor the GCF from each term in the expression.

A)
B)
C)
D)

Question 35

Factor the GCF from each term in the expression.

A)
B)
C)
D)

Question 36

Factor the GCF from each term in the expression.

A)
B)
C)
D)

Question 37

Factor the GCF from each term in the expression.

A)
B)
C) No common factor
D)

Question 38

Factor the GCF from each term in the expression.
2(x + 10) - x(x + 10)

A) (x - 10)(x - 2)
B) (x + 10)(2 - x)
C) (x + 10)(2 + x)
D)

Question 39

Factor the GCF from each term in the expression.

A)
B)
C)
D)

Question 40

Factor the GCF from each term in the expression.

A)
B)
C)
D) No common factor

Question 41

Factor by grouping.
24dx - 12dy - 16kx + 8ky

A) 4(3d + 2k)(2x - y)
B) 4(3d + 2k)(2x + y)
C) 4(3d - 2k)(2x - y)
D) 4(3d - 2k)(2x + y)

Question 42

Factor by grouping.

A) x(x + b)
B) x(x + b) + 5
C) (x + 5)(x + b)
D) x(x + 5)

Question 43

Factor by grouping.
7y - 77 + xy - 11x

A) (y - 11)(7 + x)
B) (y - 11x)(7 + x)
C) (x - 11)(7y + x)
D) (x - 11)(y + 7)

Question 44

Factor by grouping.
xy + 20 - 5y - 4x

A) -4x(y - 5)
B) (y - 4)(x - 5)
C) (x - 4)(y - 5)
D) -4y(x - 5)

Question 45

Factor by grouping.
xy + y + 4x + 4

A) (4x + 4)(y + 1)
B) (x + 1)(y + 4)
C) (x + 4)(y + 1)
D) (x + 1)(4y + 4)

Question 46

Factor by grouping.
xy - 3yz + 6x - 18z

A) (y - 6)(x + 3z)
B) (y + 6)(x - 3z)
C) (y + 3)(x - 6z)
D) (y - 3)(x + 6z)

Question 47

Factor by grouping.
4x - 24 + xy - 6y

A) (x - 6y)(4 + y)
B) (x - 6)(4 + y)
C) (y - 6)(x + 4)
D) (y - 6)(4x + y)

Question 48

Factor by grouping.

A)
B)
C) (6x + 1)(x + 1)
D)

Question 49

Factor by grouping.
cz + z - c - 1

A) (z - 1)(c - 1)
B) (z - 1)(c + 1)
C) (z + 1)(c - 1)
D) (z + 1)(c + 1)

Question 50

Factor by grouping.

A)
B)
C)
D)

Question 51

Factor the polynomial. If the polynomial is prime, so state.

A) (x + 5)(x - 4)
B) (x + 1)(x - 20)
C) (x + 4)(x - 5)
D) prime

Question 52

Factor by grouping.

A)
B)
C)
D)

Question 53

Factor by grouping.
xy + 6x - 4y - 24

A) (y + 6)(x - 4)
B) (y - 6)(x + 4)
C) (x + 6)(y - 4)
D) (x - 6)(y + 4)

Question 54

Factor the polynomial. If the polynomial is prime, so state.

A) (x - 12)(x + 1)
B) (x - 12)(x + 10)
C) (x + 12)(x - 10)
D) prime

Question 55

Factor by grouping.

A) (4x - 3)(5x - 2)
B) (20x - 3)(x - 2)
C) (4x + 3)(5x + 2)
D) (20x + 3)(x + 2)

Question 56

Factor by grouping.

A) (x + 2)(x + 5)
B) (x - 2)(x - 5)
C) (x + 2)(x - 5)
D) (x - 2)(x + 5)

Question 57

Factor by grouping.

A) (4x - 5)(6x + 5)
B) (24x - 5y)(x + 5y)
C) (4x - 5y)(6x + 5y)
D) (4x + 5y)(6x + 5y)

Question 58

Factor by grouping.
6x + 66 + xy + 11y

A) (y + 11)(x + 6)
B) (x + 11y)(6 + y)
C) (x + 11)(6 + y)
D) (y + 11)(6x + y)

Question 59

Factor by grouping.
3xy + 12x + 7y + 28

A) (3x + 4)(y + 7)
B) (3x + 7)(y + 4)
C) (3x + 7y)(y + 4)
D) (3x + y)(7y + 4)

Question 60

Factor by grouping.

A)
B)
C)
D)

Question 61

Factor completely. If the polynomial is prime, so state.

A) (x - 2)(2x - 8)
B) 2(x - 8)(x + 1)
C) 2(x - 2)(x - 4)
D) prime

Question 62

Factor the polynomial. If the polynomial is prime, so state.

A) (x + 11)(x + 8)
B) (x + 88)(x + 1)
C) (x + 88)(x - 1)
D) prime

Question 63

Factor the polynomial. If the polynomial is prime, so state.

A) (x - 16y)(x + y)
B) (x + 16y)(x - 13y)
C) (x - 16y)(x + 13y)
D) prime

Question 64

Factor the polynomial. If the polynomial is prime, so state.

A) (x - 8y)(x + y)
B) (x + 8y)(x - 3y)
C) (x - 8y)(x - 3y)
D) prime

Question 65

Factor completely. If the polynomial is prime, so state.

A)
B)
C)
D) prime

Question 66

Factor the polynomial. If the polynomial is prime, so state.

A) (x + 5)(x - 9)
B)
C) (x - 45)(x + 1)
D) prime

Question 67

Factor completely. If the polynomial is prime, so state.

A) a(ab - 6)(ab - 9)
B) a(ab + 6)(ab + 9)
C)
D)

Question 68

Factor completely. If the polynomial is prime, so state.

A) 3y(x + 5)(x - 7)
B) 3y(x + 5)(x + 7)
C) 3y(x - 5)(x - 7)
D) 3y(x - 5)(x + 7)

Question 69

Factor the polynomial. If the polynomial is prime, so state.

A) (m + 8n)(m + 7n)
B) (m - 8n)(m + 7n)
C) (m + 8n)(m - 7n)
D) (m - 8n)(m - 7n)

Question 70

Factor the polynomial. If the polynomial is prime, so state.

A) (x + 7)(x + 2)
B) (x - 7)(x + 2)
C) (x - 7)(x - 2)
D) (x + 7)(x - 2)

Question 71

Factor the polynomial. If the polynomial is prime, so state.

A) (x + 5)(x + 6)
B) (x - 5)(x - 6)
C) (x + 5)(x - 6)
D) (x - 5)(x + 6)

Question 72

Factor the polynomial. If the polynomial is prime, so state.

A) (x - 12)(x + 3)
B) (x + 36)(x - 1)
C) (x + 12)(x - 3)
D) prime

Question 73

Factor the polynomial. If the polynomial is prime, so state.

A) (x - 12)(x + 8)
B) (x - 12)(x + 1)
C) (x + 12)(x - 8)
D) prime

Question 74

Factor the polynomial. If the polynomial is prime, so state.

A) (a + 4b)(a - 8b)
B) (a - 4b)(a + b)
C) (a - 4b)(a + 8b)
D) prime

Question 75

Factor the polynomial. If the polynomial is prime, so state.

A) (u - 3v)(u + 8v)
B) (u + 3v)(u - 8v)
C) (u - 3v)(u + v)
D) prime

Question 76

Factor completely. If the polynomial is prime, so state.

A) x(x + 6)(x - 7)
B)
C) x(x + 7)(x - 6)
D) prime

Question 77

Factor completely. If the polynomial is prime, so state.

A) (7x + 14)(x - 3)
B) 7(x + 2)(x - 3)
C) 7(x - 2)(x + 3)
D) prime

Question 78

Factor the polynomial. If the polynomial is prime, so state.

A) (x - 2)(x + 9)
B)
C) (x + 2)(x + 9)
D) prime

Question 79

Factor completely. If the polynomial is prime, so state.

A)
B)
C)
D)

Question 80

Factor completely. If the polynomial is prime, so state.

A)
B)
C)
D)