Deck 13: Factoring Polynomials

Question 1

Factor out the GCF from the polynomial.
40x - 20

A)20(2x)
B)20(2x - 1)
C)5(8x - 4)
D)4(10x - 5)

Answer 1

20(2x - 1)

Question 2

Factor out the GCF from the polynomial.

- $15 x ^ { 2 } + 11 x ^ { 4 }$

A) $15 x ^ { 2 } \left( 1 + \frac { 11 } { 15 } x ^ { 2 } \right)$
B) $x ^ { 2 } \left( 15 + 11 x ^ { 2 } \right)$
C) $x ^ { 2 } \left( 1 + 11 x ^ { 2 } \right)$
D) $15 \left( x ^ { 2 } + 165 \right)$

Answer 2

$x ^ { 2 } \left( 15 + 11 x ^ { 2 } \right)$

Question 3

Find the GCF for the list.

- $x ^ { 2 } , x ^ { 3 } , x ^ { 4 }$

A)x
B) $x ^ { 2 }$
C) $x ^ { 4 }$
D) $x ^ { 9 }$

Answer 3

$x ^ { 2 }$

Question 4

Find the GCF for the list.

- $x ^ { 2 } , x ^ { 6 }$

A) $x ^ { 12 }$
B) $x ^ { 8 }$
C) $x ^ { 4 }$
D) $x ^ { 2 }$

Question 5

Find the GCF for the list.
15, 21, 24

A)1
B)15
C)3
D)6

Question 6

Find the GCF for the list.

- $x ^ { 6 } y ^ { 8 } , x ^ { 5 } y ^ { 7 } , x y ^ { 8 } , x ^ { 2 } y ^ { 6 }$

A) $x ^ { 2 } y ^ { 6 }$
B) $x ^ { 2 } y ^ { 2 }$
C)xy
D) $x y ^ { 6 }$

Question 7

Find the GCF for the list.
20x, 4

A)1
B)4
C)5x
D)20x

Question 8

Find the GCF for the list.

- $7 b ^ { 4 } \cdot 7 b ^ { 3 } k ^ { 6 } \cdot 3 b ^ { 4 }$

A) $b ^ { 3 }$
B) $7 b ^ { 3 }$
C) $7 b ^ { 3 } k ^ { 6 }$
D) $b ^ { 3 } k ^ { 6 }$

Question 9

Find the GCF for the list.

- $15 \mathrm {~m} ^ { 3 } \cdot 135 \mathrm {~m} ^ { 9 }$

A)2025m6
B)15m6
C) $135 \mathrm {~m} ^ { 3 }$
D) $15 \mathrm {~m} ^ { 3 }$

Question 10

Find the GCF for the list.
16, 10

A)4
B)1
C)2
D)10

Question 11

Find the GCF for the list.
800, 900

A)25
B)100
C)1
D)2

Question 12

Find the GCF for the list.

- $10 \mathrm {~m} ^ { 4 } , 40 \mathrm {~m} ^ { 9 } , 100 \mathrm {~m} ^ { 5 }$

A) $10 \mathrm {~m} ^ { 4 }$
B) $400 \mathrm {~m} ^ { 5 }$
C) $40 \mathrm {~m} ^ { 4 }$
D) $10 \mathrm {~m} ^ { 5 }$

Question 13

Find the GCF for the list.

- $64 a ^ { 9 } b ^ { 3 } c ^ { 7 } , 40 a ^ { 6 } b ^ { 9 }$

A) $8 a ^ { 9 } b ^ { 9 }$
B) $4 a ^ { 6 } b ^ { 3 }$
C) $8 a ^ { 6 } b ^ { 3 }$
D) $8 a ^ { 6 } b ^ { 3 } c ^ { 7 }$

Question 14

Find the GCF for the list.

- $297 x ^ { 2 } , 99 x ^ { 9 }$

A) $33 x ^ { 7 }$
B) $99 x ^ { 7 }$
C) $99 x ^ { 2 }$
D) $297 x ^ { 2 }$

Question 15

Find the GCF for the list.

- $64 a ^ { 9 } b ^ { 2 } , 88 a ^ { 5 } b ^ { 9 }$

A) $4 a ^ { 4 } b ^ { 7 }$
B) $8 a ^ { 5 } b ^ { 2 }$
C) $704 a ^ { 9 } b ^ { 9 }$
D) $8 a ^ { 9 } b ^ { 9 }$

Question 16

Factor out the GCF from the polynomial.

- $11 x ^ { 4 } + 17$

A) $11 \left( x ^ { 4 } + 187 \right)$
B) $11 \left( x ^ { 4 } + \frac { 17 } { 11 } \right)$
C) $11 \left( x ^ { 4 } + 17 \right)$
D)No common factor

Question 17

Find the GCF for the list.
2x, x

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

Question 18

Factor out the GCF from the polynomial.
6x + 24

A)6(x + 24)
B)6(x + 4)
C)144x
D)6x + 4

Question 19

Find the GCF for the list.
28, 10, 35

A)1
B)2
C)5
D)7

Question 20

Factor out the GCF from the polynomial.

- $6 x ^ { 7 } - 48 x ^ { 5 }$

A) $6 x ^ { 6 } ( x - 8 x )$
B) $6 \left( x ^ { 7 } - 8 x ^ { 5 } \right)$
C) $x ^ { 7 } \left( 6 x ^ { 2 } - 48 \right)$
D) $6 x ^ { 5 } \left( x ^ { 2 } - 8 \right)$

Question 21

Factor the four-term polynomial by grouping.
7y - 77 + xy - 11x

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

Question 22

Factor the four-term polynomial by grouping.
xy + 12x - 4y - 48

A)(x - 12)(y + 4)
B)(y + 12)(x - 4)
C)(y - 12)(x + 4)
D)(x + 12)(y - 4)

Question 23

Factor out the GCF from the polynomial.

- $6 m ^ { 9 } + 16 m ^ { 6 } + 4 m ^ { 3 }$

A) $2 \left( 3 m ^ { 9 } + 8 m ^ { 6 } + 2 m ^ { 3 } \right)$
B)No common factor
C) $m ^ { 3 } \left( 6 m ^ { 6 } + 16 m ^ { 3 } + 4 \right)$
D) $2 m ^ { 3 } \left( 3 m ^ { 6 } + 8 m ^ { 3 } + 2 \right)$

Question 24

Factor the four-term polynomial by grouping.
xy + y + 6x + 6

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

Question 25

Factor out the GCF from the polynomial.

- $27 y ^ { 3 } - 6 y ^ { 2 } + 12 y$

A) $3 \left( 9 y ^ { 3 } - 2 y ^ { 2 } + 4 y \right)$
B) $y \left( 27 y ^ { 2 } - 6 y + 12 \right)$
C) $3 y \left( 9 y ^ { 3 } - 2 y ^ { 2 } + 4 y \right)$
D) $3 y \left( 9 y ^ { 2 } - 2 y + 4 \right)$

Question 26

Factor a -1 from the polynomial.
-y - 7

A)-1(-y - 7)
B)-1(y - 7)
C)-1(7 - y)
D)-1(y + 7)

Question 27

Factor out the GCF from the polynomial.

- $48 x ^ { 9 } y ^ { 6 } + 48 x ^ { 2 } y ^ { 4 } - 80 x ^ { 6 } y ^ { 2 }$

A)16 $16 x ^ { 2 } \left( 3 x ^ { 7 } y ^ { 6 } + 3 y ^ { 4 } - 5 x ^ { 4 } y ^ { 2 } \right)$
B)16(3x9y6 + 3x2y4 - 5x6y2)
C) $16 x ^ { 2 } y ^ { 2 } \left( 3 x ^ { 7 } y ^ { 4 } + 3 y ^ { 2 } - 5 x ^ { 4 } \right)$
D)x2y2(48x7y4 + 48y2 - 80x4)

Question 28

Factor a -1 from the polynomial.

- $8 x ^ { 6 } - 9 x ^ { 5 }$

A) $- 1 \left( - 8 x ^ { 6 } + 9 x ^ { 5 } \right)$
B) $- 1 \left( 8 x ^ { 6 } + 9 x ^ { 5 } \right)$
C) $- 1 \left( - 9 x ^ { 6 } + 8 x ^ { 5 } \right)$
D) $- 1 \left( - 8 x ^ { 6 } - 9 x ^ { 5 } \right)$

Question 29

Factor out the GCF from the polynomial.

- $20 x ^ { 4 } y + 28 x y ^ { 3 }$

A) $x y \left( 20 x ^ { 3 } + 28 y ^ { 2 } \right)$
B) $4 x \left( 5 x ^ { 3 } y + 7 y ^ { 3 } \right)$
C) $4 x y \left( 5 x ^ { 3 } + 7 y ^ { 2 } \right)$
D) $4 y \left( 5 x ^ { 4 } + 7 x y ^ { 2 } \right)$

Question 30

Factor a -1 from the polynomial.

-- $- 17 x ^ { 3 } + x ^ { 2 } + 16$

A) $- 1 \left( 16 x ^ { 3 } + x ^ { 2 } - 17 \right)$
B) $- 1 \left( 17 x ^ { 3 } + x ^ { 2 } - 16 \right)$
C) $- 1 \left( 17 x ^ { 3 } - x ^ { 2 } + 16 \right)$
D) $- 1 \left( 17 x ^ { 3 } - x ^ { 2 } - 16 \right)$

Question 31

Factor the four-term polynomial by grouping.
6x - 66 + xy - 11y

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

Question 32

Factor a -1 from the polynomial.
6a - b - 5

A)-1(6a + b + 5)
B)-1(-6a + b + 5)
C)-1(-6a + b - 5)
D)-1(-6a - b + 5)

Question 33

Factor a -1 from the polynomial.
-7 + y

A)-1(7 - y)
B)-1(y + 7)
C)-1(y - 7)
D)-1(-y - 7)

Question 34

Factor the four-term polynomial by grouping.
xy - 9yz + 12x - 108z

A)(y - 12)(x + 9z)
B)(y - 9)(x + 12z)
C)(y + 12)(x - 9z)
D)(y + 9)(x - 12z)

Question 35

Factor out the GCF from the polynomial.
14p + 7q - 7

A)7(2p + q)
B)7p(2 + q - 1)
C)No common factor
D)7(2p + q - 1)

Question 36

Factor out the GCF from the polynomial.

- $5 x ^ { 6 } y + 35 x ^ { 4 }$

A) $5 x ^ { 5 } ( x y + 7 x )$
B) $x ^ { 4 } \left( 5 x ^ { 2 } y + 35 \right)$
C) $5 x ^ { 4 } y \left( x ^ { 2 } + 7 \right)$
D) $5 x ^ { 4 } \left( x ^ { 2 } y + 7 \right)$

Question 37

Factor out the GCF from the polynomial.

- $s \left( t ^ { 2 } - 10 \right) + 2 \left( t ^ { 2 } - 10 \right)$

A) $\left( t ^ { 2 } - 10 \right) ( s + 2 )$
B) $\left( t ^ { 2 } - 10 \right) ( s - 2 )$
C) $\left( s t ^ { 2 } - 10 s \right) + \left( 2 t ^ { 2 } - 20 \right)$
D) $2 \mathrm {~s} \left( \mathrm { t } ^ { 2 } - 10 \right)$

Question 38

Factor the four-term polynomial by grouping.
2x + 8 + xy + 4y

A)(x + 4)(2 + y)
B)(x + 4y)(2 + y)
C)(y + 4)(2x + y)
D)(y + 4)(x + 2)

Question 39

Factor out the GCF from the polynomial.
x(y + 2)+ 9(y +2)

A)2y(x + 9)
B)9x(y +2)
C)(y +2)(x + 9)
D)(xy + 2x)+ (9y + 18)

Question 40

Factor out the GCF from the polynomial.

- $x ^ { 10 } y ^ { 8 } - x ^ { 10 } y ^ { 7 } + x ^ { 8 } y ^ { 5 } - x ^ { 7 } y ^ { 5 }$

A) $x ^ { 7 } y ^ { 5 } \left( x ^ { 2 } y ^ { 3 } - x ^ { 2 } y ^ { 2 } + x y - 1 \right)$
B) $x ^ { 6 } y ^ { 5 } \left( x ^ { 3 } y ^ { 3 } + x ^ { 3 } y ^ { 2 } + x + 1 \right)$
C) $x ^ { 7 } y ^ { 5 } \left( x ^ { 3 } y ^ { 3 } - x ^ { 3 } y ^ { 2 } + x - 1 \right)$
D) $x ^ { 7 } y ^ { 5 } \left( x ^ { 3 } y ^ { 3 } - x ^ { 2 } y ^ { 2 } + x - 1 \right)$

Question 41

Factor the trinomial completely. If the polynomial cannot be factored, write "prime."

- $x ^ { 4 } - 8 x ^ { 2 } - 33$

A) $\left( x ^ { 2 } + 11 \right) \left( x ^ { 2 } - 3 \right)$
B) $\left( x ^ { 2 } - 33 \right) \left( x ^ { 2 } + 1 \right)$
C) $\left( x ^ { 2 } - 11 \right) \left( x ^ { 2 } + 3 \right)$
D)prime

Question 42

Factor the four-term polynomial by grouping.

- $20 a ^ { 3 } + 15 a ^ { 2 } b + 24 a b ^ { 2 } + 18 b ^ { 3 }$

A) $\left( 20 a ^ { 2 } + 6 b ^ { 2 } \right) ( a + 3 b )$
B) $\left( 5 a ^ { 2 } - 6 b ^ { 2 } \right) ( 4 a - 3 b )$
C) $\left( 5 a ^ { 2 } + 6 b \right) ( 4 a + 3 b )$
D) $\left( 5 a ^ { 2 } + 6 b ^ { 2 } \right) ( 4 a + 3 b )$

Question 43

Factor the four-term polynomial by grouping.

- $12 x ^ { 4 } - 9 x ^ { 2 } - 8 x ^ { 2 } + 6$

A) $\left( 3 x ^ { 4 } - 2 \right) ( 4 x - 3 )$
B) $\left( 3 x ^ { 2 } + 2 \right) \left( 4 x ^ { 2 } + 3 \right)$
C) $\left( 12 x ^ { 2 } + 2 \right) \left( x ^ { 2 } + 3 \right)$
D) $\left( 3 x ^ { 2 } - 2 \right) \left( 4 x ^ { 2 } - 3 \right)$

Question 44

Factor the trinomial completely. If the polynomial cannot be factored, write "prime."

- $x ^ { 2 } - x - 63$

A)(x - 63)(x + 1)
B)(x - 7)(x + 9)
C)(x + 7)(x - 9)
D)prime

Question 45

Factor the four-term polynomial by grouping.

- $x ^ { 3 } + 2 x ^ { 2 } + x + 2$

A) $\left( x ^ { 2 } + 2 \right) ( x + 1 )$
B) $\left( 2 x ^ { 2 } + 2 \right) ( x + 1 )$
C) $\left( x ^ { 2 } + 1 \right) ( x + 2 )$
D) $\left( x ^ { 2 } + 1 \right) ( 2 x + 2 )$

Question 46

Factor the trinomial completely. If the polynomial cannot be factored, write "prime."

- $x ^ { 2 } + 4 x - 45$

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

Question 47

Factor the trinomial completely. If the polynomial cannot be factored, write "prime."

- $x ^ { 2 } - x - 20$

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

Question 48

Factor the four-term polynomial by grouping.

- $6 x ^ { 2 } - 9 x - 4 x + 6$

A)(3x + 2)(2x + 3)
B)(6x + 2)(x + 3)
C)(3x - 2)(2x - 3)
D)(6x - 2)(x - 3)

Question 49

Factor the trinomial completely. If the polynomial cannot be factored, write "prime."

- $x ^ { 2 } - 4 x - 32$

A)(x - 8)(x + 4)
B)(x - 32)(x + 1)
C)(x + 8)(x - 4)
D)prime

Question 50

Factor the four-term polynomial by grouping.

- $10 x ^ { 2 } + 12 x y + 15 x y + 18 y ^ { 2 }$

A)(10x + 3y)(x + 6y)
B)(2x + 3)(5x + 6)
C)(2x + 3y)(5x + 6y)
D)(2x - 3y)(5x + 6y)

Question 51

Factor the four-term polynomial by grouping.

-10 $10 x ^ { 2 } - 8 x - 15 x + 12$

A)(2x + 3)(5x + 4)
B)(10x - 3)(x - 4)
C)(2x - 3)(5x - 4)
D)(10x + 3)(x + 4)

Question 52

Factor the trinomial completely. If the polynomial cannot be factored, write "prime."

- $x ^ { 2 } + x - 12$

A)(x + 1)(x - 12)
B)(x - 4)(x + 3)
C)(x - 3)(x + 4)
D)prime

Question 53

Factor the four-term polynomial by grouping.

- $8 x ^ { 2 } - 10 x y + 12 x y - 15 y ^ { 2 }$

A)(8x + 3y)(x - 5y)
B)(2x + 3y)(4x - 5y)
C)(2x - 3y)(4x - 5y)
D)(2x + 3)(4x - 5)

Question 54

Factor the four-term polynomial by grouping.

- $8 a ^ { 3 } + 20 a ^ { 2 } b - 10 a ^ { 2 } - 25 b ^ { 3 }$

A) $\left( 4 a ^ { 2 } - 5 b ^ { 2 } \right) ( 2 a + 5 b )$
B) $\left( 4 a ^ { 2 } + 5 b ^ { 2 } \right) ( 2 a - 5 b )$
C) $\left( 8 a ^ { 2 } - 5 b ^ { 2 } \right) ( a + 5 b )$
D) $\left( 4 a ^ { 2 } - 5 b \right) ( 2 a + 5 b )$

Question 55

Factor the four-term polynomial by grouping.

- $x ^ { 3 } + 4 x + x ^ { 2 } + 4$

A) $\left( x ^ { 2 } + 1 \right) ( 4 x + 1 )$
B)(4x + 1)(x + 1)
C) $\left( x ^ { 2 } + 1 \right) ( x + 4 )$
D) $\left( x ^ { 2 } + 4 \right) ( x + 1 )$

Question 56

Factor the trinomial completely. If the polynomial cannot be factored, write "prime."

- $z ^ { 2 } - 10 z + 25$

A) $( z - 5 ) ^ { 2 }$
B)(z - 5)(z + 5)
C)(z - 10)(z + 10)
D) $( z + 5 ) ^ { 2 }$

Question 57

Factor the four-term polynomial by grouping.
3xy + 9x + 7y + 21

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

Question 58

Factor the trinomial completely. If the polynomial cannot be factored, write "prime."

- $x ^ { 2 } + 50 x + 625$

A)(x + 25)(x - 25)
B) $( x - 25 ) ^ { 2 }$
C) $( x + 25 ) ^ { 2 }$
D)prime

Question 59

Factor the trinomial completely. If the polynomial cannot be factored, write "prime."

- $2 x - 48 + x ^ { 2 }$

A)(x + 8)(x - 6)
B)(x - 8)(x + 1)
C)(x - 8)(x + 6)
D)prime

Question 60

Factor the trinomial completely. If the polynomial cannot be factored, write "prime."

- $8 + 7 x + x ^ { 2 }$

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

Question 61

Factor the trinomial completely. If the polynomial cannot be factored, write "prime."

- $x ^ { 2 } + 12 x y + 32 y ^ { 2 }$

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

Question 62

Factor the trinomial completely. If the polynomial cannot be factored, write "prime."

- $4 x ^ { 2 } + 12 x - 40$

A)(x - 2)(4x + 20)
B)(4x + 8)(x - 5)
C)4(x + 2)(x - 5)
D)4(x - 2)(x + 5)

Question 63

Factor the trinomial completely. If the polynomial cannot be factored, write "prime."

- $x ^ { 2 } + 2 x y - 24 y ^ { 2 }$

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

Question 64

Factor the trinomial completely. If the polynomial cannot be factored, write "prime."

- $8 y ^ { 4 } + 64 y ^ { 3 } + 120 y ^ { 2 }$

A) $8 y \left( y ^ { 2 } + 5 y \right) ( y + 3 )$
B) $8 \left( y ^ { 2 } + 5 \right) \left( y ^ { 2 } + 3 \right)$
C) $y ^ { 2 } ( y + 5 ) ( 8 y + 24 )$
D) $8 y ^ { 2 } ( y + 5 ) ( y + 3 )$

Question 65

Factor the trinomial completely. If the polynomial cannot be factored, write "prime."

- $2 x ^ { 3 } y ^ { 3 } - 4 x ^ { 3 } y ^ { 2 } - 30 x ^ { 3 } y$

A) $2 x ^ { 3 } y ( y - 3 ) ( y + 5 )$
B) $2 x ^ { 3 } y ( y + 3 ) ( y - 5 )$
C) $x ^ { 3 } \left( 2 y ^ { 2 } + 6 y \right) ( y - 5 )$
D)prime

Question 66

Factor the trinomial completely. If the polynomial cannot be factored, write "prime."

- $6 y ^ { 2 } + 30 y + 36$

A)(6y + 2)(y + 3)
B)6(y - 2)(y - 3)
C)(y + 2)(6y + 18)
D)6(y + 2)(y + 3)

Question 67

Factor the trinomial completely. If the polynomial cannot be factored, write "prime."

- $- x ^ { 2 } - 3 x + 40$

A)-1(x - 8)(x + 1)
B)-1(x - 8)(x + 5)
C)-1(x + 8)(x - 5)
D)-1(x - 8)(x - 5)

Question 68

Factor the trinomial completely. If the polynomial cannot be factored, write "prime."

- $2 t ^ { 5 } - 2 t ^ { 4 } - 24 t ^ { 3 }$

A) $2 t ^ { 3 } ( t - 3 ) ( t + 4 )$
B) $2 t ^ { 3 } ( t + 3 ) ( t - 4 )$
C) $\left( 2 t ^ { 4 } + 6 \right) ( t - 4 )$
D) $( t - 3 ) ( 2 t + 48 )$

Question 69

Factor the trinomial completely. If the polynomial cannot be factored, write "prime."

- $x ^ { 3 } + 2 x ^ { 2 } - 35 x$

A) $x \left( x ^ { 2 } + 2 x - 35 \right)$
B)x(x - 7)(x - 5)
C)x(x + 7)(x + 5)
D)x(x + 7)(x - 5)

Question 70

Complete the factored form.

- $7 x ^ { 2 } + 23 x - 20 = ( 7 x - 5 )$

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

Question 71

Factor the trinomial completely. If the polynomial cannot be factored, write "prime."

- $5 x ^ { 2 } y + 5 x y - 25 y$

A) $y \left( 5 x ^ { 2 } + 5 x - 25 \right)$
B)5y(x + 5)(x - 1)
C)5(x + 5y)(x - 1)
D) $5 y \left( x ^ { 2 } + x - 5 \right)$

Question 72

Factor the trinomial completely. If the polynomial cannot be factored, write "prime."

- $a ^ { 3 } b ^ { 2 } + 5 a ^ { 2 } b - 6 a$

A) $a ^ { 5 } ( b - 1 ) ( b + 6 )$
B) $a \left( a ^ { 2 } b ^ { 2 } + 5 a b - 6 \right)$
C)a(ab - 1)(ab + 6)
D)a(ab + 1)(ab - 6)

Question 73

Factor the trinomial completely. If the polynomial cannot be factored, write "prime."

- $2 x ^ { 3 } y ^ { 5 } + 2 x ^ { 2 } y ^ { 5 } - 12 x y ^ { 5 }$

A) $y ^ { 5 } \left( 2 x ^ { 2 } + 4 x \right) ( x - 3 )$
B) $2 x y ^ { 5 } ( x + 2 ) ( x - 3 )$
C) $2 x y ^ { 5 } ( x - 2 ) ( x + 3 )$
D)prime

Question 74

Complete the factored form.

- $6 x ^ { 2 } - 17 x + 12 = ( 2 x - 3 )$

A)(3x + 4)
B)(x + 3)
C)(3x - 4)
D)prime

Question 75

Factor the trinomial completely.

- $5 x ^ { 2 } + x - 120$

A)(5x + 24)(x - 5)
B)(5x + 5)(x - 24)
C)(5x - 5)(x + 24)
D)(5x - 24)(x + 5)

Question 76

Factor the trinomial completely. If the polynomial cannot be factored, write "prime."

- $2 x ^ { 2 } - 20 x + 42$

A)2(x + 7)(x + 3)
B)2(x - 7)(x - 3)
C)(x + 7)(2x + 6)
D)(2x + 7)(x + 3)

Question 77

Factor the trinomial completely. If the polynomial cannot be factored, write "prime."

- $4 y ^ { 3 } - 8 y ^ { 2 } - 60 y$

A)4y(y + 3)(y - 5)
B)4y(y - 3)(y + 5)
C) $( y - 3 ) \left( 4 y ^ { 2 } + 20 \right)$
D) $\left( 4 y ^ { 2 } + 12 y \right) ( y - 5 )$

Question 78

Factor the trinomial completely. If the polynomial cannot be factored, write "prime."

- $5 x ^ { 2 } - 30 x + 5 x ^ { 3 }$

A)5x(x + 2)(x - 3)
B) $\left( 5 x ^ { 2 } + 10 x \right) ( x - 3 )$
C) $( x - 2 ) \left( 5 x ^ { 2 } + 15 \right)$
D)5x(x - 2)(x + 3)

Question 79

Factor the trinomial completely. If the polynomial cannot be factored, write "prime."

- $a ^ { 2 } - 4 a b - 12 b ^ { 2 }$

A)(a + 2b)(a - 6b)
B)(a - 2b)(a + b)
C)(a - 2b)(a + 6b)
D)prime

Question 80

Factor the trinomial completely. If the polynomial cannot be factored, write "prime."

- $5 r ^ { 6 } - 15 r ^ { 5 } - 50 r ^ { 4 }$

A) $5 r ^ { 4 } ( r - 2 ) ( r + 5 )$
B) $\left( 5 r ^ { 3 } + 25 \right) ( r - 2 )$
C) $\left( 5 r ^ { 3 } + 10 \right) ( r - 5 )$
D) $5 r ^ { 4 } ( r + 2 ) ( r - 5 )$