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ID: 1 Algebra 2 Name___________________________________ Big Old Factoring Worksheet ©G V2605162g HKQuwtiap 7SzorfPtew9aEr5eg 3LKLDCM.m c bA4lqlx Zr2imgLh7tqsT lr9e3sieXrPvreDd5.u Solve each equation by using the zero product property. 1) (b − 4)(3b − 1) = 0 2) (n + 3)(6n + 1) = 0 3) (r + 5)(r − 3) = 0 4) (v + 8)(2v − 5) = 0 5) (8b + 1)(b + 8) = 0 6) (3 p − 5)( p − 2) = 0 7) (2 x + 1)(7 x + 5) = 0 8) (3 x − 5)(3 x + 1) = 0 9) ( x − 2)( x + 3) = 0 10) (n + 7)(n + 4) = 0 Solve each equation by factoring, then using the zero product property. 11) b 2 + b − 56 = 0 12) x 2 + 2 x − 48 = 0 13) n 2 − 2n − 15 = 0 14) k 2 + 2k − 35 = 0 ©m W2c0C1e2r TKLuXtIau mSXojfvtJwFaCr1e5 ELALGC5.6 o hAclblP FrTiWgEhKt6sm ar3esslewrZvFeddp.x H rMkakdzey 7wSiQtmh3 tICnxfUivnPiLtueZ VAfl8gseEb3rQat S2q.j -1- Worksheet by Kuta Software LLC 15) n 2 − 3n − 28 = 0 16) x 2 + 10 x + 24 = 0 17) x 2 + 7 x − 8 = 0 18) n 2 + 13n + 40 = 0 19) a 2 − 7a + 10 = 0 20) a 2 − 7a + 10 = 0 21) m 2 + 2m − 3 = 0 22) x 2 + 2 x − 15 = 0 23) r 2 − r − 20 = 0 24) v 2 − 4v − 5 = 0 25) p 2 − 9 p + 20 = 0 26) m 2 − 12m + 32 = 0 27) n 2 + 8n + 16 = 0 28) p 2 + 4 p − 32 = 0 29) x 2 − 2 x − 35 = 0 30) k 2 − k − 6 = 0 ©p N2a0G1K2M LKZuNtpah iS1o1fltYwoaprUeB kLfLzCj.h Q aALlNlq srkingUhWtnsG 4rfezsue9rTv1etd2.y L kMvaUd3eg 0wMiOtHh7 6IinZfgiEnRibtReV YAIlzgCeVbXrvaS v2b.q -2- Worksheet by Kuta Software LLC Solve each equation by factoring. First you must factor out a common monomial factor, then factor the the remaining trinomial. Finally, apply the zero product property. 31) 5 x 2 − 5 x − 150 = 0 32) 2 p 2 + 10 p − 48 = 0 33) 6m 2 − 48m + 90 = 0 34) 6 x 2 + 60 x + 126 = 0 35) 3 x 2 + 18 x − 21 = 0 36) 3n 2 + 42n + 144 = 0 37) 3n 2 + 9n − 120 = 0 38) 3a 2 + 9a − 12 = 0 39) 6 x 2 − 54 x + 120 = 0 40) 7k 2 + 77k + 168 = 0 Solve each equation by factoring. First, set your equation equal to zero. Then you must factor out a common monomial factor, then factor the the remaining trinomial. Finally, apply the zero product property. 41) 3n 2 − 6n − 7 = 2 42) 3 x 2 + 6 x + 1 = −2 43) 2b 2 − 2b − 10 = 2 44) 2r 2 + 8r + 3 = −3 ©s x220L1526 aK1uSt2af YSgo5fdtbwJakrCeY VLiL0CY.M i sANlnln MrJiYgchptDsC MrmelsleGrxvdesdi.B N UMOaFdqeu IwDiDtMhh YIenUfOisndi6tVe0 uAxlHgaeGber8aU Z2Q.A -3- Worksheet by Kuta Software LLC 45) 2a 2 + 6a + 2 = −2 46) 2a 2 + 8a + 6 = −2 47) 3v 2 − 9v + 9 = 3 48) 3 x 2 − 6 x − 12 = −3 49) 2 x 2 − 6 x + 1 = −3 50) 2n 2 − 4n − 1 = −3 Solve each equation by factoring. 51) n 2 − 2n = 15 52) k 2 + 5k = 14 53) p 2 + 10 = 7 p 54) 8 x 2 + 40 = 48 x 55) 3 x 2 = −15 x + 18 56) m 2 − 5 = −4m 57) v 2 + 6 = −5v 58) n 2 − 8 = 7n 59) r 2 + 12 = −7r 60) b 2 = 48 − 2b ©h q2W071u2L yK3uatzac DSaoXffttwgaHrRe9 7L9LaC0.l R cA9lRlk orEilgthdtis0 XrneIs2eWrKvveqdo.3 4 hMaardBeL cwEilt8hQ YIFn9fciqnbiftZe7 JAhlmg0e5bfr1a9 H2P.Z -4- Worksheet by Kuta Software LLC