[{"_1":2,"_189":-5,"_190":-5},"loaderData",{"_3":4,"_6":7},"root",{"_5":-5},"user","pages/questions/show/index",{"_8":9,"_10":11,"_44":45,"_46":47,"_64":179,"_180":181},"comments",[],"question",{"_12":13,"_14":13,"_15":16,"_17":18,"_41":13,"_42":43},"correctOptionId","","difficulty","id","f81d85cc-8b7f-4005-b1e4-03249ef3fb42","options",[19,25,29,33,37],{"_15":20,"_21":22,"_23":24},"64630026-8bfc-41d7-bfd1-077d8ee96e3e","label","A","text","1",{"_15":26,"_21":27,"_23":28},"eee2165c-8fc3-440a-b4da-d8d6ca163eee","B","\\frac{3}{2}",{"_15":30,"_21":31,"_23":32},"0085db28-a90c-4e05-9641-dd1b44dc2ee5","C","3",{"_15":34,"_21":35,"_23":36},"fd9fe1e8-2b04-4b85-be10-bcbb1f7e39d3","D","\\frac{5}{2}",{"_15":38,"_21":39,"_23":40},"28f3ebf8-8d65-4762-89af-3debfef7b749","E","5","solution_explanation","statement","As raízes de P(x)=x^2 - 9x + (2k-7)x - k, k \\in \\mathbb{Z}^*, estão em progressão aritmética. Se ‘ é a maior raiz de P (x), então \\frac{k}{‘} vale:","relatedVideos",[],"similarQuestions",[48,105,122,142,162],{"_12":13,"_14":13,"_15":49,"_17":50,"_41":13,"_42":63,"_64":65},"0b6f4c25-a5b8-4e25-8a27-f76b5729b64e",[51,54,56,59,61],{"_15":52,"_21":22,"_23":53},"3b01fd8f-e84b-4147-9feb-3ec5370c763b","0",{"_15":55,"_21":27,"_23":24},"b0be23fe-9158-4197-9b80-e7eb41af9c70",{"_15":57,"_21":31,"_23":58},"b8eed276-b85e-4c19-b7a9-8f92bb43f3ca","2",{"_15":60,"_21":35,"_23":32},"0a08415b-67cf-4f3c-a504-651527fbefcd",{"_15":62,"_21":39,"_23":40},"2c0050aa-0652-472e-8fd6-254c6aaa4f44","Para que o polinômio 26x^{3} + 4x^{2} - 2mx + (m - 1) seja divisível por x - 3, o valor da raiz quadrada do módulo de m deve ser igual a","tags",[66,89,97],{"_15":67,"_68":69,"_70":71,"_72":73,"_74":75,"_76":77,"_78":77,"_79":80,"_87":88},"460c64fa-d231-4570-b316-17533b8b28f8","name","Pré-cálculo","alias","pre-calculo","tag_group_id","c1ce2cf2-b217-4cc7-8182-81c56bd3522d","parent_id","b34d4581-a7e7-4d5d-be00-abe3d9a69032","created_at","2025-05-28T00:13:52.643631+00:00","updated_at","metadata",{"_81":82,"_83":84,"_85":86},"childrenCount",4,"content_count",0,"question_count",3555,"slug","pre-calculo-2",{"_15":90,"_68":91,"_70":92,"_72":73,"_74":-5,"_76":93,"_78":93,"_79":94,"_87":92},"9772e958-72c6-4499-ad47-877cf94d670d","Exatas","exatas","2025-04-29T01:56:45.284172+00:00",{"_81":95,"_83":84,"_85":96},18,135489,{"_15":75,"_68":98,"_70":99,"_72":73,"_74":90,"_76":100,"_78":100,"_79":101,"_87":104},"Matemática","matematica","2025-04-29T02:19:12.828432+00:00",{"_81":102,"_83":84,"_85":103},8,40655,"matematica-10",{"_12":13,"_14":13,"_15":106,"_17":107,"_41":13,"_42":120,"_64":121},"66bd27e3-ce98-4b83-a244-55e758adf328",[108,111,114,117],{"_15":109,"_21":22,"_23":110},"6a31809c-23f4-49f8-93ad-40c26d3192d1","4",{"_15":112,"_21":27,"_23":113},"9f7de9bd-67be-4d06-93a7-4723f7a4ea04","8",{"_15":115,"_21":31,"_23":116},"525dd39a-67b7-432a-b2ff-adeb035c0443","10",{"_15":118,"_21":35,"_23":119},"550c6bc7-56c0-4be3-8330-9480fc55da2f","25","As raízes positivas da equação 4x^2 - 10x + 9 = 0 são as medidas das bases de um trapézio isósceles cuja altura é a soma dessas mesmas raízes. A área desse trapézio é",[66,89,97],{"_12":13,"_14":13,"_15":123,"_17":124,"_41":13,"_42":140,"_64":141},"80b083f3-eaf0-437e-af93-22ab13ad2012",[125,128,131,134,137],{"_15":126,"_21":22,"_23":127},"61b623c6-6a42-40da-b145-6dae697ac80c","2222x + 252-",{"_15":129,"_21":27,"_23":130},"642e358a-93cb-493b-bccb-c32933c5fd40","2444x + 252+",{"_15":132,"_21":31,"_23":133},"d4094d52-329a-4785-8270-238a3c7afd9c","444x + 252-",{"_15":135,"_21":35,"_23":136},"0eaec174-6ab6-488b-8580-43ef0050f4dc","222x + 252+",{"_15":138,"_21":39,"_23":139},"98319542-cbbc-4f6d-aae8-77cac9dfa27b","2444x + 252- -","Na divisão do polinômio 4x^3 - 26x^2 + 8x - 10 pelo divisor 2x^2 - 3x + 2, o resto multiplicado por 2 é",[66,89,97],{"_12":13,"_14":13,"_15":143,"_17":144,"_41":13,"_42":160,"_64":161},"a30fdb2c-b621-49bc-a88f-6d9d8be3119a",[145,148,151,154,157],{"_15":146,"_21":22,"_23":147},"5308af1d-e65c-40cd-94ce-61ce2ef1190c","1 e 2",{"_15":149,"_21":27,"_23":150},"995abf5e-986f-4655-a951-701cd6d2b5cc","1 e 2-",{"_15":152,"_21":31,"_23":153},"bd1c8c10-4c28-4a79-b759-f687c00376e5","1- e 3",{"_15":155,"_21":35,"_23":156},"2dcb4dec-5ad1-4cfe-946a-6c2df3c3b02e","1- e 3-",{"_15":158,"_21":39,"_23":159},"5752cc33-b93d-4f7e-adc4-5a8d1bf618fc","1 e 3","Considere o polinômio 3x^{2} + 2x + bx + c, tal que P(1) = 2 e P(2) = 6. Assim, os valores de b e c são, respectivamente,",[66,89,97],{"_12":13,"_14":13,"_15":163,"_17":164,"_41":13,"_42":177,"_64":178},"bcba27c1-092c-4a9f-b7c8-d7d3cf1ca51f",[165,168,171,174],{"_15":166,"_21":22,"_23":167},"6c1a2c64-f2b8-4883-ac05-22f20d7d44db","n é par e m é par.",{"_15":169,"_21":27,"_23":170},"7a9615d0-bd4c-45f9-89e9-dff76c754eb7","n é ímpar e m é ímpar.",{"_15":172,"_21":31,"_23":173},"c5c15099-db49-484a-a311-12511039c191","n é par e m é ímpar.",{"_15":175,"_21":35,"_23":176},"b8372ae9-4099-4195-89fd-b6940f742c68","n é ímpar e m é par.","Considere o polinômio n mp(x) = x^2 + x + 1, em que n e m são números inteiros. Se o resto da divisão de p(x) por x + 1 é igual a 3, então",[66,89,97],[66,89,97],"tagsTree",[182],{"_15":90,"_68":91,"_70":92,"_72":73,"_74":-5,"_76":93,"_78":93,"_79":94,"_87":92,"_183":184},"children",[185],{"_15":75,"_68":98,"_70":99,"_72":73,"_74":90,"_76":100,"_78":100,"_79":101,"_87":104,"_183":186},[187],{"_15":67,"_68":69,"_70":71,"_72":73,"_74":75,"_76":77,"_78":77,"_79":80,"_87":88,"_183":188},[],"actionData","errors"]

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