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Kuta Software - Infinite Algebra 2

Factoring By Grouping

Factor each completely. 1) 12a3 - 9a2 + 4a - 3

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2) 2 p3 + 5 p2 + 6 p + 15

3) 3n3 - 4n2 + 9n - 12

4) 12n3 + 4n2 + 3n + 1

5) m3 - m2 + 2m - 2 7) 35xy - 5x - 56 y + 8

6) 5n3 - 10n2 + 3n - 6 8) 224az + 56ac - 84 yz - 21 yc

9) mz - 5mh2 - 5nz + 25nh2

10) 12xy - 28x - 15 y + 35

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Worksheet by Kuta Software LLC

11) 40xy + 30x - 100 y - 75

12) 75a2c - 45a2d - 30bc + 18bd

13) 192x2y + 72x3 - 24rxy - 9rx2

14) 90au - 36av - 150 yu + 60 yv

15) 140ab - 60a2 + 168b - 72a

16) 105ab - 90a - 21b + 18

17) 16x2c + 8xyd - 16x2d - 8xyc

18) 150m2nz + 20mn2c - 120m2nc - 25mn2z

19) 105xuv + 60xv - 70xu - 90xv2

20) 112xy - 16x + 128x2 - 14 y

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2

Factoring By Grouping

Factor each completely. 1) 12a3 - 9a2 + 4a - 3

(3a2 + 1)(4a - 3)

3) 3n3 - 4n2 + 9n - 12

(n2 + 3)(3n - 4)

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2) 2 p3 + 5 p2 + 6 p + 15

( p2 + 3)(2 p + 5)

4) 12n3 + 4n2 + 3n + 1

(4n2 + 1)(3n + 1)

5) m3 - m2 + 2m - 2

(m2 + 2)(m - 1)

7) 35xy - 5x - 56 y + 8

(5x - 8)(7y - 1)

6) 5n3 - 10n2 + 3n - 6

(5n2 + 3)(n - 2)

8) 224az + 56ac - 84 yz - 21 yc

7(8a - 3y)(4z + c)

9) mz - 5mh2 - 5nz + 25nh2

(m - 5n)(z - 5h2)

10) 12xy - 28x - 15 y + 35

(4x - 5)(3y - 7)

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Worksheet by Kuta Software LLC

11) 40xy + 30x - 100 y - 75

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

12) 75a2c - 45a2d - 30bc + 18bd

3(5a2 - 2b)(5c - 3d)

13) 192x2y + 72x3 - 24rxy - 9rx2

3x(8x - r)(8y + 3x)

14) 90au - 36av - 150 yu + 60 yv

6(3a - 5y)(5u - 2v)

15) 140ab - 60a2 + 168b - 72a

4(5a + 6)(7b - 3a)

16) 105ab - 90a - 21b + 18

3(5a - 1)(7b - 6)

17) 16x2c + 8xyd - 16x2d - 8xyc

8x(2x - y)(c - d)

18) 150m2nz + 20mn2c - 120m2nc - 25mn2z

5mn(6m - n)(5z - 4c)

19) 105xuv + 60xv - 70xu - 90xv2

5x(7u - 6v)(3v - 2)

20) 112xy - 16x + 128x2 - 14 y

2(8x - 1)(7y + 8x)

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Worksheet by Kuta Software LLC

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