Factoring All Techniques

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Kuta Software - Infinite Algebra 2

Name___________________________________

Factoring: All Techniques Combined (Hard)

Date________________ Period____

Factor each. 1) x 3 − 5 x 2 − x + 5

2) x 4 − 2 x 2 − 15

3) x 6 − 26 x 3 − 27

4) x 6 + 2 x 4 − 16 x 2 − 32

5) x 4 − 13 x 2 + 40

6) x 9 − x 6 − x 3 + 1

7) x 6 − 4 x 2

8) x 4 + 14 x 2 + 45

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Worksheet by Kuta Software LLC

9) 2 x 4 + x 2 − 6

10) 2 x 2 − 13 x + 20

11) 4 x 3 − x 2 − 4 x + 1

12) 4 x 8 − 61 x 4 + 225

13) 5 x 2 + 24 x − 5

14) 5 x 2 + 29 x + 20

15) 4 x 2 + 4 x − 15

16) 10 x 3 − 8 x 2 + 25 x − 20

17) −64 x 3 + 125 = 0

18) 8 x 4 + 10 x 2 − 3

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2

Name___________________________________

Factoring: All Techniques Combined (Hard)

Date________________ Period____

Factor each. 1) x 3 − 5 x 2 − x + 5

2) x 4 − 2 x 2 − 15

( x − 5)( x + 1)( x − 1)

3) x 6 − 26 x 3 − 27

(x 2 − 5)( x 2 + 3)

4) x 6 + 2 x 4 − 16 x 2 − 32

( x − 3)( x 2 + 3 x + 9)( x + 1)( x 2 − x + 1)

5) x 4 − 13 x 2 + 40

(x 2 + 2)( x 2 + 4)( x + 2)( x − 2)

6) x 9 − x 6 − x 3 + 1

( x 2 − 5)( x 2 − 8)

7) x 6 − 4 x 2

(x − 1) 2( x 2 + x + 1) 2( x + 1)( x 2 − x + 1)

8) x 4 + 14 x 2 + 45

x 2 ( x 2 − 2)( x 2 + 2)

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(x 2 + 5)( x 2 + 9)

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Worksheet by Kuta Software LLC

9) 2 x 4 + x 2 − 6

10) 2 x 2 − 13 x + 20

(2 x 2 − 3)( x 2 + 2)

11) 4 x 3 − x 2 − 4 x + 1

(2 x − 5)( x − 4)

12) 4 x 8 − 61 x 4 + 225

(4 x − 1)( x + 1)( x − 1)

13) 5 x 2 + 24 x − 5

(2 x 2 + 5)(2 x 2 − 5)( x 2 + 3)( x 2 − 3)

14) 5 x 2 + 29 x + 20

(5 x − 1)( x + 5)

15) 4 x 2 + 4 x − 15

(5 x + 4)( x + 5)

16) 10 x 3 − 8 x 2 + 25 x − 20

(2 x − 3)(2 x + 5)

17) −64 x 3 + 125 = 0

(5 x − 4)(2 x 2 + 5)

18) 8 x 4 + 10 x 2 − 3

(4 x − 5)(−16 x 2 − 20 x − 25) = 0

(2 x + 1)(2 x − 1)(2 x 2 + 3)

Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com

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Worksheet by Kuta Software LLC
Factoring All Techniques

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