Factoring By Grouping

Kuta Software - Infinite Algebra 1

Factoring By Grouping

Factor each completely. 1) 8r3 - 64r2 + r - 8

3) 12x3 + 2x2 - 30x - 5

5) 63n3 + 54n2 - 105n - 90

7) 25v3 + 5v2 + 30v + 6

9) 96n3 - 84n2 + 112n - 98

11) 4v3 - 12v2 - 5v + 15

13) 24 p3 + 15 p2 - 56 p - 35

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2) 12 p3 - 21 p2 + 28 p - 49 4) 6v3 - 16v2 + 21v - 56 6) 21k3 - 84k2 + 15k - 60 8) 105n3 + 175n2 - 75n - 125 10) 28v3 + 16v2 - 21v - 12 12) 49x3 - 35x2 + 56x - 40 14) 24r3 - 64r2 - 21r + 56

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Worksheet by Kuta Software LLC

15) 56xw + 49xk2 - 24 yw - 21 yk2 17) 12x2u + 3x2v + 28 yu + 7 yv 19) 12bc - 4bd - 15xc + 5xd

16) 42mc + 36md - 7n2c - 6n2d 18) 40ac2 + 25ak2 + 32bc2 + 20bk2 20) 16mn - 4m2 + 28n - 7m

21) 56xy - 35x + 16ry - 10r 23) 5a2z - 4a2c + 15xz - 12xc 25) 21xy - 12b2 + 14xb - 18by

22) 21xy + 15x + 35ry + 25r 24) 4xy + 6 - x - 24 y 26) 9mz - 4nc + 3mc - 12nz

27) 28xy + 25 + 35x + 20 y

28) 30uv + 30u + 36u2 + 25v

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 1

Factoring By Grouping

Factor each completely. 1) 8r3 - 64r2 + r - 8

(8r2 + 1)(r - 8)

3) 12x3 + 2x2 - 30x - 5

(2x2 - 5)(6x + 1)

5) 63n3 + 54n2 - 105n - 90

3(3n2 - 5)(7n + 6)

7) 25v3 + 5v2 + 30v + 6

(5v2 + 6)(5v + 1)

9) 96n3 - 84n2 + 112n - 98

2(6n2 + 7)(8n - 7)

11) 4v3 - 12v2 - 5v + 15

(4v2 - 5)(v - 3)

13) 24 p3 + 15 p2 - 56 p - 35

(3 p2 - 7)(8 p + 5)

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2) 12 p3 - 21 p2 + 28 p - 49

(3 p2 + 7)(4 p - 7)

4) 6v3 - 16v2 + 21v - 56

(2v2 + 7)(3v - 8)

6) 21k3 - 84k2 + 15k - 60

3(7k2 + 5)(k - 4)

8) 105n3 + 175n2 - 75n - 125

5(7n2 - 5)(3n + 5)

10) 28v3 + 16v2 - 21v - 12

(4v2 - 3)(7v + 4)

12) 49x3 - 35x2 + 56x - 40

(7x2 + 8)(7x - 5)

14) 24r3 - 64r2 - 21r + 56

(8r2 - 7)(3r - 8)

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Worksheet by Kuta Software LLC

15) 56xw + 49xk2 - 24 yw - 21 yk2

(7x - 3y)(8w + 7k2)

17) 12x2u + 3x2v + 28 yu + 7 yv

(3x2 + 7y)(4u + v)

19) 12bc - 4bd - 15xc + 5xd

(4b - 5x)(3c - d)

21) 56xy - 35x + 16ry - 10r

(7x + 2r)(8y - 5)

23) 5a2z - 4a2c + 15xz - 12xc

(a2 + 3x)(5z - 4c)

25) 21xy - 12b2 + 14xb - 18by

(7x - 6b)(3y + 2b)

16) 42mc + 36md - 7n2c - 6n2d

(6m - n2)(7c + 6d)

18) 40ac2 + 25ak2 + 32bc2 + 20bk2

(5a + 4b)(8c2 + 5k2)

20) 16mn - 4m2 + 28n - 7m

(4m + 7)(4n - m)

22) 21xy + 15x + 35ry + 25r

(3x + 5r)(7y + 5)

24) 4xy + 6 - x - 24 y

(x - 6)(4y - 1)

26) 9mz - 4nc + 3mc - 12nz

(3m - 4n)(3z + c)

27) 28xy + 25 + 35x + 20 y

(7x + 5)(4y + 5)

28) 30uv + 30u + 36u2 + 25v

(6u + 5)(5v + 6u)

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Worksheet by Kuta Software LLC

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