[{"_1":2,"_191":-5,"_192":-5},"loaderData",{"_3":4,"_8":9},"root",{"_5":6,"_7":-5},"url","https://prouniversitario.com/exercicios/be07f9ee-519c-4d92-9d6b-880ec2a7be84","user","pages/questions/show/index",{"_10":11,"_12":13,"_46":47,"_48":49,"_66":181,"_182":183},"comments",[],"question",{"_14":15,"_16":15,"_17":18,"_19":20,"_43":15,"_44":45},"correctOptionId","","difficulty","id","be07f9ee-519c-4d92-9d6b-880ec2a7be84","options",[21,27,31,35,39],{"_17":22,"_23":24,"_25":26},"d4fc50ad-fee9-493a-9e30-cd2503bd35bf","label","A","text","- 2",{"_17":28,"_23":29,"_25":30},"5ab67a59-58db-473d-a21f-b4f6bbc56c81","B","- 1",{"_17":32,"_23":33,"_25":34},"6437a591-cd0e-4d8b-b484-efeede04baf5","C","0",{"_17":36,"_23":37,"_25":38},"87da6b3e-a0c6-446a-a425-f772928734ec","D","1",{"_17":40,"_23":41,"_25":42},"fdc0b578-b093-4616-a197-12cf7fafdecf","E","2","solution_explanation","statement","43. (Mackenzie) Na equação x^3 + px + n = 0, (n \neq 0), uma raiz é igual à soma dos inversos das outras duas. Então n^2 + p + 1 vale:","relatedVideos",[],"similarQuestions",[50,107,124,144,164],{"_14":15,"_16":15,"_17":51,"_19":52,"_43":15,"_44":65,"_66":67},"0b6f4c25-a5b8-4e25-8a27-f76b5729b64e",[53,55,57,59,62],{"_17":54,"_23":24,"_25":34},"3b01fd8f-e84b-4147-9feb-3ec5370c763b",{"_17":56,"_23":29,"_25":38},"b0be23fe-9158-4197-9b80-e7eb41af9c70",{"_17":58,"_23":33,"_25":42},"b8eed276-b85e-4c19-b7a9-8f92bb43f3ca",{"_17":60,"_23":37,"_25":61},"0a08415b-67cf-4f3c-a504-651527fbefcd","3",{"_17":63,"_23":41,"_25":64},"2c0050aa-0652-472e-8fd6-254c6aaa4f44","5","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",[68,91,99],{"_17":69,"_70":71,"_72":73,"_74":75,"_76":77,"_78":79,"_80":79,"_81":82,"_89":90},"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",{"_83":84,"_85":86,"_87":88},"childrenCount",4,"content_count",0,"question_count",3555,"slug","pre-calculo-2",{"_17":92,"_70":93,"_72":94,"_74":75,"_76":-5,"_78":95,"_80":95,"_81":96,"_89":94},"9772e958-72c6-4499-ad47-877cf94d670d","Exatas","exatas","2025-04-29T01:56:45.284172+00:00",{"_83":97,"_85":86,"_87":98},18,135489,{"_17":77,"_70":100,"_72":101,"_74":75,"_76":92,"_78":102,"_80":102,"_81":103,"_89":106},"Matemática","matematica","2025-04-29T02:19:12.828432+00:00",{"_83":104,"_85":86,"_87":105},8,40655,"matematica-10",{"_14":15,"_16":15,"_17":108,"_19":109,"_43":15,"_44":122,"_66":123},"66bd27e3-ce98-4b83-a244-55e758adf328",[110,113,116,119],{"_17":111,"_23":24,"_25":112},"6a31809c-23f4-49f8-93ad-40c26d3192d1","4",{"_17":114,"_23":29,"_25":115},"9f7de9bd-67be-4d06-93a7-4723f7a4ea04","8",{"_17":117,"_23":33,"_25":118},"525dd39a-67b7-432a-b2ff-adeb035c0443","10",{"_17":120,"_23":37,"_25":121},"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",[68,91,99],{"_14":15,"_16":15,"_17":125,"_19":126,"_43":15,"_44":142,"_66":143},"80b083f3-eaf0-437e-af93-22ab13ad2012",[127,130,133,136,139],{"_17":128,"_23":24,"_25":129},"61b623c6-6a42-40da-b145-6dae697ac80c","2222x + 252-",{"_17":131,"_23":29,"_25":132},"642e358a-93cb-493b-bccb-c32933c5fd40","2444x + 252+",{"_17":134,"_23":33,"_25":135},"d4094d52-329a-4785-8270-238a3c7afd9c","444x + 252-",{"_17":137,"_23":37,"_25":138},"0eaec174-6ab6-488b-8580-43ef0050f4dc","222x + 252+",{"_17":140,"_23":41,"_25":141},"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",[68,91,99],{"_14":15,"_16":15,"_17":145,"_19":146,"_43":15,"_44":162,"_66":163},"a30fdb2c-b621-49bc-a88f-6d9d8be3119a",[147,150,153,156,159],{"_17":148,"_23":24,"_25":149},"5308af1d-e65c-40cd-94ce-61ce2ef1190c","1 e 2",{"_17":151,"_23":29,"_25":152},"995abf5e-986f-4655-a951-701cd6d2b5cc","1 e 2-",{"_17":154,"_23":33,"_25":155},"bd1c8c10-4c28-4a79-b759-f687c00376e5","1- e 3",{"_17":157,"_23":37,"_25":158},"2dcb4dec-5ad1-4cfe-946a-6c2df3c3b02e","1- e 3-",{"_17":160,"_23":41,"_25":161},"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,",[68,91,99],{"_14":15,"_16":15,"_17":165,"_19":166,"_43":15,"_44":179,"_66":180},"bcba27c1-092c-4a9f-b7c8-d7d3cf1ca51f",[167,170,173,176],{"_17":168,"_23":24,"_25":169},"6c1a2c64-f2b8-4883-ac05-22f20d7d44db","n é par e m é par.",{"_17":171,"_23":29,"_25":172},"7a9615d0-bd4c-45f9-89e9-dff76c754eb7","n é ímpar e m é ímpar.",{"_17":174,"_23":33,"_25":175},"c5c15099-db49-484a-a311-12511039c191","n é par e m é ímpar.",{"_17":177,"_23":37,"_25":178},"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",[68,91,99],[68,91,99],"tagsTree",[184],{"_17":92,"_70":93,"_72":94,"_74":75,"_76":-5,"_78":95,"_80":95,"_81":96,"_89":94,"_185":186},"children",[187],{"_17":77,"_70":100,"_72":101,"_74":75,"_76":92,"_78":102,"_80":102,"_81":103,"_89":106,"_185":188},[189],{"_17":69,"_70":71,"_72":73,"_74":75,"_76":77,"_78":79,"_80":79,"_81":82,"_89":90,"_185":190},[],"actionData","errors"]

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