Deck 6: Polynomials: Factoring
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Deck 6: Polynomials: Factoring
1
Find the GCF.

A) -xy
B) x y
C)
D)

A) -xy
B) x y
C)

D)

B
2
Factor.

A)
B)
C)
D)

A)

B)

C)

D)

D
3
Factor by grouping.

A)
B)
C)
D)

A)

B)

C)

D)

B
4
Factor.

A)
B)
C)
D)

A)

B)

C)

D)

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5
Factor.
t(2 - m) + s(2 - m)
A) No common factor
B) (t - s)(2 - m)
C) t(2 - m) + s
D) (t + s)(2 - m)
t(2 - m) + s(2 - m)
A) No common factor
B) (t - s)(2 - m)
C) t(2 - m) + s
D) (t + s)(2 - m)
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6
Factor by grouping.

A)
B)
C)
D)

A)

B)

C)

D)

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7
Factor by grouping.

A) Not possible
B)
C)
D)

A) Not possible
B)

C)

D)

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8
Factor.

A)
B)
C) No common factor
D)

A)

B)

C) No common factor
D)

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9
Find the GCF.
-
A)
B) -2x
C) -x
D)
-

A)

B) -2x
C) -x
D)

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10
Factor.

A)
B) No common factor
C)
D)

A)

B) No common factor
C)

D)

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11
Factor by grouping.

A)
B)
C)
D)

A)

B)

C)

D)

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12
Find the GCF.

A) 6x4
B)
C) 6x
D) 4x

A) 6x4
B)

C) 6x
D) 4x
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13
Factor.
5m(2 - m) + 4n(2 - m)
A) No common factor
B) m(5 + 4n)(2 - 1)
C) (5m + 4n)(2 - m)
D) (5m - 4n)(2 - m)
5m(2 - m) + 4n(2 - m)
A) No common factor
B) m(5 + 4n)(2 - 1)
C) (5m + 4n)(2 - m)
D) (5m - 4n)(2 - m)
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14
Factor.

A) No common factor
B)
C)
D)

A) No common factor
B)

C)

D)

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15
Factor.
10y - 30
A) No common factor
B) 30
C) 10y
D) 10(y - 3)
10y - 30
A) No common factor
B) 30
C) 10y
D) 10(y - 3)
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16
Factor.

A)
B) No common factor
C)
D)

A)

B) No common factor
C)

D)

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17
Factor by grouping.

A)
B)
C)
D)

A)

B)

C)

D)

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18
Factor.
4x(3x - 2) - 3(3x - 2)
A) (12x - 3)(x - 2)
B) (4x - 3)(3x - 2)
C) (4x + 3)(3x + 2)
D) (12x + 3)(x + 2)
4x(3x - 2) - 3(3x - 2)
A) (12x - 3)(x - 2)
B) (4x - 3)(3x - 2)
C) (4x + 3)(3x + 2)
D) (12x + 3)(x + 2)
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19
Factor.

A) 5x(x + 15)
B) 5x(x + 3)
C)
D) x(5x + 15)

A) 5x(x + 15)
B) 5x(x + 3)
C)

D) x(5x + 15)
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20
Factor.

A)
B)
C) y + 2
D)

A)

B)

C) y + 2
D)

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21
Factor.

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

A) (x - 6y)(x + y)
B) (x - 6y)(x + 4y)
C) (x + 6y)(x - 4y)
D) (x - y)(x + 4y)
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22
Factor.
-
A) (x - y)(x + 2y)
B) (x + 7y)(x - 2y)
C) (x - 7y)(x + 2y)
D) (x - 7y)(x + y)
-

A) (x - y)(x + 2y)
B) (x + 7y)(x - 2y)
C) (x - 7y)(x + 2y)
D) (x - 7y)(x + y)
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23
Factor.

A) (x + 1)(x - 30)
B) (x + 5)(x - 6)
C) (x + 6)(x - 5)
D) Prime

A) (x + 1)(x - 30)
B) (x + 5)(x - 6)
C) (x + 6)(x - 5)
D) Prime
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24
Factor.

A)
B)
C)
D)

A)

B)

C)

D)

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25
Factor.

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

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

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26
Factor.
-
A) (u - 5v)(u + v)
B) (u - v)(u + 9v)
C) (u + 5v)(u - 9v)
D) (u - 5v)(u + 9v)
-

A) (u - 5v)(u + v)
B) (u - v)(u + 9v)
C) (u + 5v)(u - 9v)
D) (u - 5v)(u + 9v)
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27
Factor.

A)
B) Prime
C)
D)

A)

B) Prime
C)

D)

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28
Factor.

A) (9x + 18)(x - 3)
B) 9(x - 2)(x + 3)
C) 9(x + 2)(x - 3)
D) Prime

A) (9x + 18)(x - 3)
B) 9(x - 2)(x + 3)
C) 9(x + 2)(x - 3)
D) Prime
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29
Factor.

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

A) (x - 12)(x + 1)
B) (x - 12)(x + 8)
C) Prime
D) (x + 12)(x - 8)
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30
Factor.

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

A) (-x - 6)(x - 4)
B) (x - 6)(x - 4)
C) (-x - 4)(x - 6)
D) (x + 6)(x - 4)
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31
Factor.

A)
B)
C)
D)

A)

B)

C)

D)

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32
Factor.

A) (u + 3v)(u - 5v)
B) (u - 3v)(u + v)
C) (u - 3v)(u + 5v)
D) (u - v)(u + 5v)

A) (u + 3v)(u - 5v)
B) (u - 3v)(u + v)
C) (u - 3v)(u + 5v)
D) (u - v)(u + 5v)
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33
Factor.

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

A) (x + 7)(x - 9)
B) (x - 63)(x + 1)
C) Prime
D) (x - 7)(x + 9)
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34
Factor.
-
A) (x + 15y)(x - 8y)
B) (x - y)(x + 8y)
C) (x - 15y)(x + y)
D) (x - 15y)(x + 8y)
-

A) (x + 15y)(x - 8y)
B) (x - y)(x + 8y)
C) (x - 15y)(x + y)
D) (x - 15y)(x + 8y)
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35
Factor.

A) (u - v)(u + 6v)
B) (u - 4v)(u + 6v)
C) (u - 4v)(u + v)
D) (u + 4v)(u - 6v)

A) (u - v)(u + 6v)
B) (u - 4v)(u + 6v)
C) (u - 4v)(u + v)
D) (u + 4v)(u - 6v)
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36
Factor.

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

A) (x + 4y)(x - 2y)
B) (x - 4y)(x + y)
C) (x - y)(x + 2y)
D) (x - 4y)(x + 2y)
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37
Factor.
-
A)
B) x(x + 8)(x - 2)
C) x(x - 8)(x + 2)
D)
-

A)

B) x(x + 8)(x - 2)
C) x(x - 8)(x + 2)
D)

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38
Factor.

A) 2(x - 10)(x + 1)
B) Prime
C) 2(x - 2)(x - 5)
D) (2x - 4)(x - 5)

A) 2(x - 10)(x + 1)
B) Prime
C) 2(x - 2)(x - 5)
D) (2x - 4)(x - 5)
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39
Factor.

A) (x2 + 1)(x - 72)
B) x(x + 8)(x - 9)
C) Prime
D) x(x + 9)(x - 8)

A) (x2 + 1)(x - 72)
B) x(x + 8)(x - 9)
C) Prime
D) x(x + 9)(x - 8)
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40
Factor.

A) (x - 6)(x + 1)
B) Prime
C) (x - 6)(x + 12)
D) (x + 6)(x - 12)

A) (x - 6)(x + 1)
B) Prime
C) (x - 6)(x + 12)
D) (x + 6)(x - 12)
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41
Factor.
+ 32x + 16
A) (3x - 4)(5x - 4)
B) Prime
C) (3x + 4)(5x + 4)
D) (15x + 4)(x + 4)

A) (3x - 4)(5x - 4)
B) Prime
C) (3x + 4)(5x + 4)
D) (15x + 4)(x + 4)
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42
Factor.
+ 0.8t + 0.12
A) Prime
B) (t + 0.2)(t + 0.6)
C)
D) (t + 0.8)(t + 0.12)

A) Prime
B) (t + 0.2)(t + 0.6)
C)

D) (t + 0.8)(t + 0.12)
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43
Factor.
+ 0.6y - 0.16
A) (y - 0.8)(y - 0.2)
B) (y + 0.8)(y - 0.2)
C)
D) (y - 0.8)(y + 0.2)

A) (y - 0.8)(y - 0.2)
B) (y + 0.8)(y - 0.2)
C)

D) (y - 0.8)(y + 0.2)
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44
Factor.
49 - 126x +
A) (81x - 7)(x - 7)
B)
C)
D) Prime
49 - 126x +

A) (81x - 7)(x - 7)
B)

C)

D) Prime
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45
Factor.
-
- 3z - 9
A) (4z + 3)(5z - 3)
B) Prime
C) (4z - 3)(5z + 3)
D) (20z - 3)(z + 3)
-

A) (4z + 3)(5z - 3)
B) Prime
C) (4z - 3)(5z + 3)
D) (20z - 3)(z + 3)
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46
Factor.
+ 4z - 4
A) (15z + 2)(z - 2)
B) Prime
C) (3z + 2)(5z - 2)
D) (3z - 2)(5z + 2)

A) (15z + 2)(z - 2)
B) Prime
C) (3z + 2)(5z - 2)
D) (3z - 2)(5z + 2)
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47
Factor.
- 49x - 28
A) 7(2x - 1)(x + 4)
B) (2x - 1)(7x + 28)
C) (14x - 7)(x + 4)
D) 7(2x + 1)(x - 4)

A) 7(2x - 1)(x + 4)
B) (2x - 1)(7x + 28)
C) (14x - 7)(x + 4)
D) 7(2x + 1)(x - 4)
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48
Factor.
- 5x - 30
A) 5(x - 2)(x + 3)
B) (x + 2)(5x - 15)
C) (5x + 10)(x - 3)
D) 5(x + 2)(x - 3)

A) 5(x - 2)(x + 3)
B) (x + 2)(5x - 15)
C) (5x + 10)(x - 3)
D) 5(x + 2)(x - 3)
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49
Factor.

A)
B) Prime
C)
D)

A)

B) Prime
C)

D)

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50
Factor.
- 9x + 8
A) (2x - 8)(2x - 1)
B) (4x - 8)(x - 1)
C) (4x - 1)(x - 8)
D) Prime

A) (2x - 8)(2x - 1)
B) (4x - 8)(x - 1)
C) (4x - 1)(x - 8)
D) Prime
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51
Factor.
- 35x + 42
A) 7(-3x + 2)(2x + 3)
B) (-21x + 14)(2x + 3)
C) (-3x + 2)(14x + 21)
D) 7(3x + 2)(-2x + 3)

A) 7(-3x + 2)(2x + 3)
B) (-21x + 14)(2x + 3)
C) (-3x + 2)(14x + 21)
D) 7(3x + 2)(-2x + 3)
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52
Factor.
- 1.2x + 0.35
A) (x - 0.7)(x - 0.5)
B) (x - 0.7)(x + 0.5)
C)
D) (x + 0.7)(x - 0.5)

A) (x - 0.7)(x - 0.5)
B) (x - 0.7)(x + 0.5)
C)

D) (x + 0.7)(x - 0.5)
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53
Factor.

A)
B)
C)
D) x + 37 x + 37 x

A)

B)

C)

D) x + 37 x + 37 x
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54
Factor.
+ 16y + 4
A) (3y + 2)(5y + 2)
B) Prime
C) (15y + 2)(y + 2)
D) (3y - 2)(5y - 2)

A) (3y + 2)(5y + 2)
B) Prime
C) (15y + 2)(y + 2)
D) (3y - 2)(5y - 2)
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55
Factor.
+ 0.2t - 0.24
A) (t + 0.24)(t - 1)
B) (t + 0.6)(t - 0.4)
C) (t - 0.6)(t + 0.4)
D)

A) (t + 0.24)(t - 1)
B) (t + 0.6)(t - 0.4)
C) (t - 0.6)(t + 0.4)
D)

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56
Factor.
+ 27y - 15
A) 3(2y + 1)(y - 5)
B) 3(2y - 1)(y + 5)
C) (2y - 1)(3y + 15)
D) (6y - 3)(y + 5)

A) 3(2y + 1)(y - 5)
B) 3(2y - 1)(y + 5)
C) (2y - 1)(3y + 15)
D) (6y - 3)(y + 5)
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57
Factor.
+ 0.6t + 0.09
A) t(t + 0.6)
B)
C)
D)

A) t(t + 0.6)
B)

C)

D)

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58
Factor.

A)
B)
C)
D)

A)

B)

C)

D)

Unlock Deck
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59
Factor.
-
- 52x - 40
A) 4(3x + 2)(x - 5)
B) (12x + 8)(x - 5)
C) 4(3x - 2)(x + 5)
D) (3x + 2)(4x - 20)
-

A) 4(3x + 2)(x - 5)
B) (12x + 8)(x - 5)
C) 4(3x - 2)(x + 5)
D) (3x + 2)(4x - 20)
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60
Factor.
+ 1.6y + 0.64
A)
B)
C)
D) y(y + 1.6)

A)

B)

C)

D) y(y + 1.6)
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61
Factor.

A)
B)
C)
D)

A)

B)

C)

D)

Unlock Deck
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62
Factor.

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

A) (12x + y)(x + 12y)
B) (3x - 4y)(4x - 3y)
C) (3x + 4y)(4x + 3y)
D) (12x + 4y)(x + 3y)
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63
Factor.

A)
B) x(3x + 2)(3x + 4)
C)
D)

A)

B) x(3x + 2)(3x + 4)
C)

D)

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64
Factor.

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

A) (12x + 4y)(x + 3y)
B) (3x - 4y)(4x - 3y)
C) (3x + 4y)(4x - 3y)
D) (3x + 4y)(4x + 3y)
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65
Factor.
245x2 + 350xy + 125y2
A) 5(49x2 + 70xy + 25y)
B) 5(7x - 5y)(7x + 5y)
C) (35x + 25y)(7x + 5y)
D) 5(7x + 5y)2
245x2 + 350xy + 125y2
A) 5(49x2 + 70xy + 25y)
B) 5(7x - 5y)(7x + 5y)
C) (35x + 25y)(7x + 5y)
D) 5(7x + 5y)2
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66
Factor.

A) (3x - t)(4x - 3t)
B) (12x + t)(x + 3t)
C) Prime
D) (3x + t)(4x + 3t)

A) (3x - t)(4x - 3t)
B) (12x + t)(x + 3t)
C) Prime
D) (3x + t)(4x + 3t)
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67
Factor.

A) (12z - 3y)(z + 4y)
B) (4z + 3y)(3z - 4y)
C) (12z + y)(z - 12y)
D) (4z - 3y)(3z + 4y)

A) (12z - 3y)(z + 4y)
B) (4z + 3y)(3z - 4y)
C) (12z + y)(z - 12y)
D) (4z - 3y)(3z + 4y)
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68
Factor.

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

A)

B) 3x(x + 4)(x - 5)
C)

D) 3x(x - 4)(x + 5)
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69
Factor.

A) (7x - 7y)(x + 4y)
B) (x - y)(7x + 21y)
C) 7(x - y)(x + 4y)
D) 7(x + y)(x - 4y)

A) (7x - 7y)(x + 4y)
B) (x - y)(7x + 21y)
C) 7(x - y)(x + 4y)
D) 7(x + y)(x - 4y)
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70
Factor.

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

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

D) 2(3x - 2)(x + 5)
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71
Factor.

A) 8(x - y)(x + 4y)
B) (8x - 8y)(x + 4y)
C) (x - y)(8x + 24y)
D) 8(x + y)(x - 4y)

A) 8(x - y)(x + 4y)
B) (8x - 8y)(x + 4y)
C) (x - y)(8x + 24y)
D) 8(x + y)(x - 4y)
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72
Factor.

A) z(10z + 1)(z - 6)
B) (2z - 3)(5z + 2)
C) z(2z + 3)(5z - 2)
D)

A) z(10z + 1)(z - 6)
B) (2z - 3)(5z + 2)
C) z(2z + 3)(5z - 2)
D)

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73
Factor.

A)
B)
C)
D)

A)

B)

C)

D)

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74
Factor.

A)
B)
C)
D)

A)

B)

C)

D)

Unlock Deck
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Unlock Deck
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75
Factor.
1
A) (4x + 3t)(4x + 3t)
B) (16x - 3t)(x - 3t)
C) Prime
D) (4x - 3t)(4x - 3t)
1

A) (4x + 3t)(4x + 3t)
B) (16x - 3t)(x - 3t)
C) Prime
D) (4x - 3t)(4x - 3t)
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76
Factor.

A) 3a(a + 5)(a + 3)
B) 3a(a - 5)(a + 3)
C) 3a(a + 5)(a - 3)
D) 3a(a - 5)(a - 3)

A) 3a(a + 5)(a + 3)
B) 3a(a - 5)(a + 3)
C) 3a(a + 5)(a - 3)
D) 3a(a - 5)(a - 3)
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77
Factor.

A) (21x + 7y)(4x + y)
B) 7(3x + y)(4x + y)
C) 7(3x - y)(4x - y)
D) (3x + y)(7x + 3y)

A) (21x + 7y)(4x + y)
B) 7(3x + y)(4x + y)
C) 7(3x - y)(4x - y)
D) (3x + y)(7x + 3y)
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78
Factor.

A)
B)
C)
D)

A)

B)

C)

D)

Unlock Deck
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79
Factor.

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

A) x(10x + 1)(x + 6)
B)

C) x(2x + 3)(5x + 2)
D) x(2x - 3)(5x - 2)
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80
Factor by grouping.

A) (s + 4)(s - 9)
B) s(s + 49)
C) (s - 4)(s - 9)
D) (s + 4)(s + 9)

A) (s + 4)(s - 9)
B) s(s + 49)
C) (s - 4)(s - 9)
D) (s + 4)(s + 9)
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