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Name___________________________________  \nFactoring Quadratic Expressions Date________________ Period____  \nFactor each completely.  \n1) x 2 − 7x − 18 2) p 2 − 5 p − 14  \n3) m 2 − 9m + 8 4) x 2 − 16x + 63  \n5) 7x2 − 31x − 20 6) 7k2 + 9k  \n7) 7x2 − 45x − 28 8) 2b2 + 17b + 21  \n9) 5 p2 − p − 18 10) 28n4 + 16n3 − 80n2  \n11) 3b3 − 5b2 + 2b 12) 7x2 − 32x − 60  \n13) 30n2 b − 87nb + 30b 14) 9r2 − 5r − 10  \n15) 9 p2 r + 73 pr + 70r 16) 9x2 + 7x − 56  \n17) 4x3 + 43x2 + 30x 18) 10m2 + 89m − 9  \nCritical thinking questions:  \n19) For what values of b is the expression 20) Name four values of b which make the  \nfactorable? expression factorable:  \nx 2 + bx + 12 x 2 − 3x + b  \nKuta Software-Infinite Algebra 2  \nFactoring Quadratic Expressions  \nFactor each completely.  \n1) x 2 − 7x − 18  \n(x − 9)(x + 2)  \nName___________________________________  \nDate________________ Period____  \n2) p 2 − 5 p − 14  \n( p + 2)( p − 7)  \n3) m 2 − 9m + 8 4) x 2 − 16x + 63  \n(m − 1)(m − 8) (x − 9)(x − 7)  \n5) 7x2 − 31x − 20 6) 7k2 + 9k  \n(7x + 4)(x − 5) k(7k + 9)  \n7) 7x2 − 45x − 28 8) 2b2 + 17b + 21  \n(7x + 4)(x − 7) (2b + 3)(b + 7)  \n9) 5 p2 − p − 18 10) 28n4 + 16n3 − 80n2  \n(5 p + 9)( p − 2) 4n2 (7n − 10)(n + 2)  \n11) 3b3 − 5b2 + 2b 12) 7x2 − 32x − 60  \nb(3b − 2)(b − 1) (7x + 10)(x − 6)  \n13) 30n2 b − 87nb + 30b 14) 9r2 − 5r − 10  \n3b(2n − 5)(5n − 2) Not factorable  \n15) 9 p2 r + 73 pr + 70r 16) 9x2 + 7x − 56  \nr( p + 7)(9 p + 10) Not factorable  \n17) 4x3 + 43x2 + 30x 18) 10m2 + 89m − 9  \nx(x + 10)(4x + 3) (m + 9)( 10m − 1)  \nCritical thinking questions:  \n19) For what values of b is the expression 20) Name four values of b which make the  \nfactorable? expression factorable:  \nx 2 + bx + 12 x 2 − 3x + b  \n13, 8, 7, −13, −8, −7 Many answers. Ex: 0, 2, −4, −10, −18  \nCreate your own worksheets like this one with Infinite Algebra 2. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaipZXrzx6cjN5","https://ap.wps.com/l/cbCaipZXrzx6cjN5","pdf",33134,"English","# Factor Each Completely\n## Problem Set 1-18\n# Critical Thinking Questions\n## Q19: Values of b\n## Q20: Name four values of b","[{\"question\":\"What does the worksheet ask students to do for problems 1–18?\",\"answer\":\"Factor each quadratic (or polynomial) expression completely into factored form.\"},{\"question\":\"How do the critical thinking questions relate to the value of b?\",\"answer\":\"They ask for specific values of b that make each given expression factorable.\"},{\"question\":\"Which problems are labeled “Not factorable,” and what does that mean?\",\"answer\":\"Some listed items are marked “Not factorable,” indicating they cannot be factored using the expected factoring method shown on the worksheet.\"}]","Factoring Quadratic Expressions - Factor Each Completely | PDF",1791426024]