Math10 Name___________________________________ Polynomials: Factoring by Grouping Date________________ Factor each completely. 1) 6n 3 - 5n 2 + 6n - 5 2) 48a 3 - 18a 2 + 144a - 54 3) 5x 3 + x 2 + 5x + 1 4) 14k 3 + 35k 2 - 2k - 5 5) 56x 3 - 7x 2 - 24x + 3 6) 2x 3 + 4x 2 + 7x + 14 7) 24n 3 + 21n 2 + 16n + 14 8) 16 p 3 + 2 p 2 - 24 p - 3 9) 25m 3 - 20m 2 - 25m + 20 10) 32x 3 + 12x 2 - 64x - 24
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Worksheet by Kuta Software LLC 11) 21n 3 - 9n 2 - 168n + 72 12) 21b 3 - 6b 2 + 28b - 8 13) 54r 3 + 90r 2 + 144r + 240 14) 30x 3 - 35x 2 + 48x - 56 15) 8n 3 - 8n 2 + 14n - 14 16) 20v 3 + 5v 2 + 28v + 7 17) 8b 3 + 28b 2 - 14b - 49 18) 100x 3 + 160x 2 - 60x - 96 19) 12x 3 - 20x 2 + 3x - 5 20) 192a 3 + 72a 2 + 144a + 54
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Worksheet by Kuta Software LLC Answers to Polynomials: Factoring by Grouping 1) (n 2 + 1)(6n - 5) 2) 6(a 2 + 3)(8a - 3) 3) ( x 2 + 1)(5x + 1) 4) (7k 2 - 1)(2k + 5) 5) (7x 2 - 3)(8x - 1) 6) (2x 2 + 7)( x + 2) 7) (3n 2 + 2)(8n + 7) 8) (2 p 2 - 3)(8 p + 1) 9) 5(m + 1)(m - 1)(5m - 4) 10) 4( x 2 - 2)(8x + 3) 11) 3(n 2 - 8)(7n - 3) 2
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12) (3b + 4)(7b - 2) 13) 6(3r + 8)(3r + 5) 14) (5x + 8)(6x - 7) 15) 2(4n 2 + 7)(n - 1) 16) (5v 2 + 7)(4v + 1) 17) (4b 2 - 7)(2b + 7) 18) 4(5x 2 - 3)(5x + 8) 19) (4x 2 + 1)(3x - 5) 20) 6(4a 2 + 3)(8a + 3)
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