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Name___________________________________  \nFactoring Quadratic Form Date________________ Period____  \nFactor each completely.  \n1) u 4 + 2u2 2) x 4 + x2 − 12  \n3) a 4 + 6a2 + 5 4) x 4 − 8x2 + 15  \n5) u 4 − 4u2 − 5 6) m 4 + 9m2 + 20  \n7) x 4 + 4x2 + 3 8) x 4 − 7x2 + 10  \n9) 7m4 − 54m2 − 16 10) 7u4 + 41u2 + 30  \n11) 5x4 − 9x2 + 4 12) 3x5 − 2x3 − 8x  \n13) 2x6 + 13x4 + 6x2 14) 2a4 − 6a2 + 9  \n15) 7m4 − 44m2 + 12 16) 3u4 − u 2 − 14  \n17) x 6 − 9x3 + 8 18) 6x9 n − 30x5 n − 300xn  \n19) x 6 + 4x3 − 60 20) 5nu8 − 15nu4 + 40n  \n21) x 6 + 2x3 − 3 22) m 6 − 81  \n23) −x6 + 2x3 + 15 24) x 7 m + 2x4 m − 15xm  \nCritical thinking questions:  \n25) Why is this not in quadratic form? 26) Factor: x 2n + 9xn − 10  \n6 4  \nx + 5x + 6  \nKuta Software-Infinite Algebra 2 Factoring Quadratic Form  \nFactor each completely.  \n1) u 4 + 2u2  \nu 2 (u 2 + 2)  \nName___________________________________  \nDate________________ Period____  \n2) x 4 + x2 − 12  \n(x 2 − 3)(x 2 + 4)  \n3) a 4 + 6a2 + 5 4) x 4 − 8x2 + 15  \n(a 2 + 1)(a 2 + 5) (x 2 − 3)(x 2 − 5)  \n5) u 4 − 4u2 − 5 6) m 4 + 9m2 + 20  \n(u 2 − 5)(u 2 + 1) (m 2 + 4)(m 2 + 5)  \n7) x 4 + 4x2 + 3 8) x 4 − 7x2 + 10  \n(x 2 + 3)(x 2 + 1) (x 2 − 2)(x 2 − 5)  \n9) 7m4 − 54m2 − 16 10) 7u4 + 41u2 + 30  \n(7m2 + 2)(m 2 − 8) (7u2 + 6)(u 2 + 5)  \n11) 5x4 − 9x2 + 4 12) 3x5 − 2x3 − 8x  \n(5x2 − 4)(x + 1)(x − 1) x(3x2 + 4)(x 2 − 2)  \n13) 2x6 + 13x4 + 6x2  \nx 2 (2x2 + 1)(x 2 + 6)  \n15) 7m4 − 44m2 + 12  \n(7m2 − 2)(m 2 − 6)  \n17) x 6 − 9x3 + 8  \n(x − 2)(x 2 + 2x + 4)(x − 1)(x 2 + x + 1)  \n19) x 6 + 4x3 − 60  \n(x 3 − 6)(x 3 + 10)  \n21) x 6 + 2x3 − 3  \n(x − 1)(x 2 + x + 1)(x 3 + 3)  \n23) −x6 + 2x3 + 15  \n−(x 3 − 5)(x 3 + 3)  \nCritical thinking questions:  \n25) Why is this not in quadratic form? x 6 + 5x4 + 6  \n3 4  \nThe middle term should have x not x  \n14) 2a4 − 6a2 + 9  \nNot factorable  \n16) 3u4 − u 2 − 14  \n(3u2 − 7)(u 2 + 2)  \n18) 6x9 n − 30x5 n − 300xn  \n6xn(x 4 − 10)(x 4 + 5)  \n20) 5nu8 − 15nu4 + 40n  \n5n(u 8 − 3u4 + 8)  \n22) m 6 − 81  \n(m 3 + 9)(m 3 − 9)  \n24) x 7 m + 2x4 m − 15xm  \nxm(x 3 − 3)(x 3 + 5)  \n26) Factor: x 2n + 9xn − 10  \n(xn + 10)(xn − 1)  \nCreate your own worksheets like this one with Infinite Algebra 2. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaifeCxka1Zeui","https://ap.wps.com/l/cbCaifeCxka1Zeui","pdf",34505,"English","# Factor each completely\n## Problem set 1-24\n# Critical thinking questions","[{\"question\":\"What does the worksheet ask students to do with each problem?\",\"answer\":\"Factor each expression completely, including higher-degree polynomial expressions and provided factorizations.\"},{\"question\":\"How many problems are in the main factoring set?\",\"answer\":\"There are problems numbered 1 through 24, followed by critical thinking questions within the same worksheet.\"},{\"question\":\"What is included in the critical thinking section?\",\"answer\":\"Questions that require reasoning, such as why a given expression is not in quadratic form and determining whether certain expressions are factorable.\"}]","Factoring Quadratic Form - Worksheets | PDF",1791426024]