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Factoring Date________________ Period____  \nSolve each equation by factoring.  \n1) (k + 1)(k − 5) = 0 2) (a + 1)(a + 2) = 0  \n3) (4k + 5)(k + 1) = 0 4) (2m + 3)(4m + 3) = 0  \n5) x 2 − 11x + 19 = −5 6) n 2 + 7n + 15 = 5  \n7) n 2 − 10n + 22 = −2 8) n 2 + 3n − 12 = 6  \n9) 6n2 − 18n − 18 = 6 10) 7r2 − 14r = −7  \n11) n 2 + 8n = −15 12) 5r2 − 44r + 120 = −30 + 11r  \n13) −4k2 − 8k − 3 = −3 − 5k2 14) b 2 + 5b − 35 = 3b  \n15) 3r2 − 16r − 7 = 5 16) 6b2 − 13b + 3 = −3  \n17) 7k2 − 6k + 3 = 3 18) 35k2 − 22k + 7 = 4  \n19) 7x2 + 2x = 0 20) 10b2 = 27b − 18  \n21) 8x2 + 21 = −59x 22) 15a2 − 3a = 3 − 7a  \nKuta Software-Infinite Algebra 1 Name___________________________________  \nSolving Quadratic Equations by Factoring Date________________ Period____  \nSolve each equation by factoring.  \n1) (k + 1)(k − 5) = 0 2) (a + 1)(a + 2) = 0  \n{−1, 5} {−1, −2}  \n3) (4k + 5)(k + 1) = 0 4) (2m + 3)(4m + 3) = 0  \n{− ~~ ~~54~~ ~~ , −1 } {− ~~ ~~32~~ ~~ , − ~~ ~~34~~ ~~ }  \n5) x 2 − 11x + 19 = −5 6) n 2 + 7n + 15 = 5  \n{3, 8} {−5, −2}  \n7) n 2 − 10n + 22 = −2 8) n 2 + 3n − 12 = 6  \n{6, 4} {3, −6}  \n9) 6n2 − 18n − 18 = 6 10) 7r2 − 14r = −7  \n{4, −1} {1}  \n11) n 2 + 8n = −15 12) 5r2 − 44r + 120 = −30 + 11r  \n{−5, −3} {6, 5}  \n13) −4k2 − 8k − 3 = −3 − 5k2 14) b 2 + 5b − 35 = 3b  \n{8, 0} {−7, 5}  \n15) 3r2 − 16r − 7 = 5 16) 6b2 − 13b + 3 = −3  \n{− ~~ ~~23~~ ~~ , 6 } {~~ ~~23~~ ~~ , ~~ ~~32~~ ~~ }  \n17) 7k2 − 6k + 3 = 3 18) 35k2 − 22k + 7 = 4  \n{~~ ~~ ~~ ~~ ~~ ~~  \n67 , 0 } { 15 , 37 }  \n19) 7x2 + 2x = 0 20) 10b2 = 27b − 18  \n{ ~~ ~~ ~~ ~~ ~~ ~~  \n− 27 , 0 } { 65 , 32 }  \n21) 8x2 + 21 = −59x 22) 15a2 − 3a = 3 − 7a {~~ ~~13~~ ~~ , − ~~ ~~35~~ ~~ }  \n− ~~ ~~38~~ ~~ , −7 }  \n{  \nCreate your own worksheets like this one with Infinite Algebra 1. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaivRThal1AuTp","https://ap.wps.com/l/cbCaivRThal1AuTp","pdf",32138,"English","# Solve each equation by factoring\n## Factor and set factors to zero","[{\"question\":\"How are the quadratic equations on the worksheet meant to be solved?\",\"answer\":\"Each equation is solved by factoring, then setting the resulting factors equal to zero.\"},{\"question\":\"Do the problems include variable parameters or only numeric coefficients?\",\"answer\":\"Many problems include variables such as k, a, m, n, r, and b inside the coefficients, so the factoring method applies to parameter-based expressions as well.\"},{\"question\":\"Are the equations only in standard quadratic form (ax^2+bx+c)?\",\"answer\":\"No. Some are already written as products of binomials, while others are in expanded polynomial form that must be factored first.\"}]","Solving Quadratic Equations by Factoring - Solve Each Equation by Factoring | PDF",1791425902]