Algebra 1
Name___________________________________ ID: 1
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Factor by Grouping
Date________________ Period____
Factor each completely.
1) 30b 3 + 42b 2 + 5b + 7
2) 21k 3 - 3k 2 + 49k - 7
3) 10 x 3 - 15 x 2 + 14 x - 21
4) 7 p 3 + 8 p 2 + 28 p + 32
5) 8m 3 - 5m 2 - 56m + 35
6) 36n 3 + 6n 2 - 6n - 1
7) 15 x 3 - 6 x 2 + 35 x - 14
8) 42 x 3 - 48 x 2 + 49 x - 56
9) 15v 3 - 5v 2 + 21v - 7
10) 10n 3 - 15n 2 + 6n - 9
Worksheet by Kuta Software LLC
-1-
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11) 6n 3 - 2n 2 - 15n + 5
12) 14k 3 - 8k 2 - 21k + 12
13) 15b 3 + 20b 2 + 18b + 24
14) 28n 3 + 21n 2 + 12n + 9
15) 24 x 3 - 15 x 2 - 8 x + 5
16) 8k 3 - 24k 2 - 5k + 15
17) 14k 3 - 4k 2 - 35k + 10
18) 7k 3 - k 2 + 7k - 1
19) 5 x 3 - 10 x 2 + 8 x - 16
20) 15 x 3 + 24 x 2 - 25 x - 40
Worksheet by Kuta Software LLC
-2-
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Algebra 1
Name___________________________________ ID: 1
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Factor by Grouping
Date________________ Period____
Factor each completely.
1) 30b 3 + 42b 2 + 5b + 7
(6b 2 + 1)(5b + 7)
3) 10 x 3 - 15 x 2 + 14 x - 21
(5 x 2 + 7)(2 x - 3)
5) 8m 3 - 5m 2 - 56m + 35
(m 2 - 7)(8m - 5)
7) 15 x 3 - 6 x 2 + 35 x - 14
(3 x 2 + 7)(5 x - 2)
9) 15v 3 - 5v 2 + 21v - 7
(5v 2 + 7)(3v - 1)
2) 21k 3 - 3k 2 + 49k - 7
(3k 2 + 7)(7k - 1)
4) 7 p 3 + 8 p 2 + 28 p + 32
( p 2 + 4)(7 p + 8)
6) 36n 3 + 6n 2 - 6n - 1
(6n 2 - 1)(6n + 1)
8) 42 x 3 - 48 x 2 + 49 x - 56
(6 x 2 + 7)(7 x - 8)
10) 10n 3 - 15n 2 + 6n - 9
(5n 2 + 3)(2n - 3)
Worksheet by Kuta Software LLC
-1-
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11) 6n 3 - 2n 2 - 15n + 5
(2n 2 - 5)(3n - 1)
13) 15b 3 + 20b 2 + 18b + 24
(5b 2 + 6)(3b + 4)
15) 24 x 3 - 15 x 2 - 8 x + 5
(3 x 2 - 1)(8 x - 5)
17) 14k 3 - 4k 2 - 35k + 10
(2k 2 - 5)(7k - 2)
19) 5 x 3 - 10 x 2 + 8 x - 16
(5 x 2 + 8)( x - 2)
12) 14k 3 - 8k 2 - 21k + 12
(2k 2 - 3)(7k - 4)
14) 28n 3 + 21n 2 + 12n + 9
(7n 2 + 3)(4n + 3)
16) 8k 3 - 24k 2 - 5k + 15
(8k 2 - 5)(k - 3)
18) 7k 3 - k 2 + 7k - 1
(k 2 + 1)(7k - 1)
20) 15 x 3 + 24 x 2 - 25 x - 40
(3 x 2 - 5)(5 x + 8)
Worksheet by Kuta Software LLC
-2-
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