[{"_1":2,"_177":-5,"_178":-5},"loaderData",{"_3":4,"_6":7},"root",{"_5":-5},"user","pages/questions/show/index",{"_8":9,"_10":11,"_22":23,"_24":25,"_52":167,"_168":169},"comments",[],"question",{"_12":13,"_14":13,"_15":16,"_17":18,"_19":13,"_20":21},"correctOptionId","","difficulty","id","e2c8ec23-d262-4fb4-bb53-76a72f55b244","options",[],"solution_explanation","statement","Seja a um número real tal que o polinômio p(x) = x^5 + 2x^4 + ax^3 - ax^2 - 2x - 1 admite apenas raízes reais. Então:","relatedVideos",[],"similarQuestions",[26,93,110,130,150],{"_12":13,"_14":13,"_15":27,"_17":28,"_19":13,"_20":51,"_52":53},"0b6f4c25-a5b8-4e25-8a27-f76b5729b64e",[29,35,39,43,47],{"_15":30,"_31":32,"_33":34},"3b01fd8f-e84b-4147-9feb-3ec5370c763b","label","A","text","0",{"_15":36,"_31":37,"_33":38},"b0be23fe-9158-4197-9b80-e7eb41af9c70","B","1",{"_15":40,"_31":41,"_33":42},"b8eed276-b85e-4c19-b7a9-8f92bb43f3ca","C","2",{"_15":44,"_31":45,"_33":46},"0a08415b-67cf-4f3c-a504-651527fbefcd","D","3",{"_15":48,"_31":49,"_33":50},"2c0050aa-0652-472e-8fd6-254c6aaa4f44","E","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",[54,77,85],{"_15":55,"_56":57,"_58":59,"_60":61,"_62":63,"_64":65,"_66":65,"_67":68,"_75":76},"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",{"_69":70,"_71":72,"_73":74},"childrenCount",4,"content_count",0,"question_count",3555,"slug","pre-calculo-2",{"_15":78,"_56":79,"_58":80,"_60":61,"_62":-5,"_64":81,"_66":81,"_67":82,"_75":80},"9772e958-72c6-4499-ad47-877cf94d670d","Exatas","exatas","2025-04-29T01:56:45.284172+00:00",{"_69":83,"_71":72,"_73":84},18,135489,{"_15":63,"_56":86,"_58":87,"_60":61,"_62":78,"_64":88,"_66":88,"_67":89,"_75":92},"Matemática","matematica","2025-04-29T02:19:12.828432+00:00",{"_69":90,"_71":72,"_73":91},8,40655,"matematica-10",{"_12":13,"_14":13,"_15":94,"_17":95,"_19":13,"_20":108,"_52":109},"66bd27e3-ce98-4b83-a244-55e758adf328",[96,99,102,105],{"_15":97,"_31":32,"_33":98},"6a31809c-23f4-49f8-93ad-40c26d3192d1","4",{"_15":100,"_31":37,"_33":101},"9f7de9bd-67be-4d06-93a7-4723f7a4ea04","8",{"_15":103,"_31":41,"_33":104},"525dd39a-67b7-432a-b2ff-adeb035c0443","10",{"_15":106,"_31":45,"_33":107},"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",[54,77,85],{"_12":13,"_14":13,"_15":111,"_17":112,"_19":13,"_20":128,"_52":129},"80b083f3-eaf0-437e-af93-22ab13ad2012",[113,116,119,122,125],{"_15":114,"_31":32,"_33":115},"61b623c6-6a42-40da-b145-6dae697ac80c","2222x + 252-",{"_15":117,"_31":37,"_33":118},"642e358a-93cb-493b-bccb-c32933c5fd40","2444x + 252+",{"_15":120,"_31":41,"_33":121},"d4094d52-329a-4785-8270-238a3c7afd9c","444x + 252-",{"_15":123,"_31":45,"_33":124},"0eaec174-6ab6-488b-8580-43ef0050f4dc","222x + 252+",{"_15":126,"_31":49,"_33":127},"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",[54,77,85],{"_12":13,"_14":13,"_15":131,"_17":132,"_19":13,"_20":148,"_52":149},"a30fdb2c-b621-49bc-a88f-6d9d8be3119a",[133,136,139,142,145],{"_15":134,"_31":32,"_33":135},"5308af1d-e65c-40cd-94ce-61ce2ef1190c","1 e 2",{"_15":137,"_31":37,"_33":138},"995abf5e-986f-4655-a951-701cd6d2b5cc","1 e 2-",{"_15":140,"_31":41,"_33":141},"bd1c8c10-4c28-4a79-b759-f687c00376e5","1- e 3",{"_15":143,"_31":45,"_33":144},"2dcb4dec-5ad1-4cfe-946a-6c2df3c3b02e","1- e 3-",{"_15":146,"_31":49,"_33":147},"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,",[54,77,85],{"_12":13,"_14":13,"_15":151,"_17":152,"_19":13,"_20":165,"_52":166},"bcba27c1-092c-4a9f-b7c8-d7d3cf1ca51f",[153,156,159,162],{"_15":154,"_31":32,"_33":155},"6c1a2c64-f2b8-4883-ac05-22f20d7d44db","n é par e m é par.",{"_15":157,"_31":37,"_33":158},"7a9615d0-bd4c-45f9-89e9-dff76c754eb7","n é ímpar e m é ímpar.",{"_15":160,"_31":41,"_33":161},"c5c15099-db49-484a-a311-12511039c191","n é par e m é ímpar.",{"_15":163,"_31":45,"_33":164},"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",[54,77,85],[54,77,85],"tagsTree",[170],{"_15":78,"_56":79,"_58":80,"_60":61,"_62":-5,"_64":81,"_66":81,"_67":82,"_75":80,"_171":172},"children",[173],{"_15":63,"_56":86,"_58":87,"_60":61,"_62":78,"_64":88,"_66":88,"_67":89,"_75":92,"_171":174},[175],{"_15":55,"_56":57,"_58":59,"_60":61,"_62":63,"_64":65,"_66":65,"_67":68,"_75":76,"_171":176},[],"actionData","errors"]

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