[{"_1":2,"_191":-5,"_192":-5},"loaderData",{"_3":4,"_6":7},"root",{"_5":-5},"user","pages/questions/show/index",{"_8":9,"_10":11,"_43":44,"_45":46,"_66":181,"_182":183},"comments",[],"question",{"_12":13,"_14":13,"_15":16,"_17":18,"_40":13,"_41":42},"correctOptionId","","difficulty","id","d99d38f4-73ad-42e8-8ac1-7420187a7988","options",[19,25,29,33,36],{"_15":20,"_21":22,"_23":24},"73a67e85-e99c-4371-9345-090e5f99afac","label","A","text","a_2 = 50 \times 99 \times 998",{"_15":26,"_21":27,"_23":28},"d4d8170b-2ce5-4877-ada2-0f63cbfcbc06","B","a_2 = \frac{100!}{2! \times 98!}",{"_15":30,"_21":31,"_23":32},"73d378b8-411a-4dd2-8833-f7d0d2604006","C","a_2 = \frac{99!}{2! \times 98!}",{"_15":34,"_21":35,"_23":28},"d3bf66b0-d45e-47fb-8756-6ad00da183a1","D",{"_15":37,"_21":38,"_23":39},"b43f94ab-bd29-4fdf-aa91-793c6ac8a399","E","n. r. a.","solution_explanation","statement","Seja P(x) = a_0 + a_1 x + a_2 x^2 + a_3 x^3 + \text{ · · · } + a_{100} x^{100}, onde a_{100} = 1, um polinômio divisível por (x + 9)^{100}. Nestas condições temos:","relatedVideos",[],"similarQuestions",[47,107,124,144,164],{"_12":13,"_14":13,"_15":48,"_17":49,"_40":13,"_41":65,"_66":67},"0b6f4c25-a5b8-4e25-8a27-f76b5729b64e",[50,53,56,59,62],{"_15":51,"_21":22,"_23":52},"3b01fd8f-e84b-4147-9feb-3ec5370c763b","0",{"_15":54,"_21":27,"_23":55},"b0be23fe-9158-4197-9b80-e7eb41af9c70","1",{"_15":57,"_21":31,"_23":58},"b8eed276-b85e-4c19-b7a9-8f92bb43f3ca","2",{"_15":60,"_21":35,"_23":61},"0a08415b-67cf-4f3c-a504-651527fbefcd","3",{"_15":63,"_21":38,"_23":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],{"_15":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",{"_15":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,{"_15":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",{"_12":13,"_14":13,"_15":108,"_17":109,"_40":13,"_41":122,"_66":123},"66bd27e3-ce98-4b83-a244-55e758adf328",[110,113,116,119],{"_15":111,"_21":22,"_23":112},"6a31809c-23f4-49f8-93ad-40c26d3192d1","4",{"_15":114,"_21":27,"_23":115},"9f7de9bd-67be-4d06-93a7-4723f7a4ea04","8",{"_15":117,"_21":31,"_23":118},"525dd39a-67b7-432a-b2ff-adeb035c0443","10",{"_15":120,"_21":35,"_23":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],{"_12":13,"_14":13,"_15":125,"_17":126,"_40":13,"_41":142,"_66":143},"80b083f3-eaf0-437e-af93-22ab13ad2012",[127,130,133,136,139],{"_15":128,"_21":22,"_23":129},"61b623c6-6a42-40da-b145-6dae697ac80c","2222x + 252-",{"_15":131,"_21":27,"_23":132},"642e358a-93cb-493b-bccb-c32933c5fd40","2444x + 252+",{"_15":134,"_21":31,"_23":135},"d4094d52-329a-4785-8270-238a3c7afd9c","444x + 252-",{"_15":137,"_21":35,"_23":138},"0eaec174-6ab6-488b-8580-43ef0050f4dc","222x + 252+",{"_15":140,"_21":38,"_23":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],{"_12":13,"_14":13,"_15":145,"_17":146,"_40":13,"_41":162,"_66":163},"a30fdb2c-b621-49bc-a88f-6d9d8be3119a",[147,150,153,156,159],{"_15":148,"_21":22,"_23":149},"5308af1d-e65c-40cd-94ce-61ce2ef1190c","1 e 2",{"_15":151,"_21":27,"_23":152},"995abf5e-986f-4655-a951-701cd6d2b5cc","1 e 2-",{"_15":154,"_21":31,"_23":155},"bd1c8c10-4c28-4a79-b759-f687c00376e5","1- e 3",{"_15":157,"_21":35,"_23":158},"2dcb4dec-5ad1-4cfe-946a-6c2df3c3b02e","1- e 3-",{"_15":160,"_21":38,"_23":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],{"_12":13,"_14":13,"_15":165,"_17":166,"_40":13,"_41":179,"_66":180},"bcba27c1-092c-4a9f-b7c8-d7d3cf1ca51f",[167,170,173,176],{"_15":168,"_21":22,"_23":169},"6c1a2c64-f2b8-4883-ac05-22f20d7d44db","n é par e m é par.",{"_15":171,"_21":27,"_23":172},"7a9615d0-bd4c-45f9-89e9-dff76c754eb7","n é ímpar e m é ímpar.",{"_15":174,"_21":31,"_23":175},"c5c15099-db49-484a-a311-12511039c191","n é par e m é ímpar.",{"_15":177,"_21":35,"_23":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],{"_15":92,"_70":93,"_72":94,"_74":75,"_76":-5,"_78":95,"_80":95,"_81":96,"_89":94,"_185":186},"children",[187],{"_15":77,"_70":100,"_72":101,"_74":75,"_76":92,"_78":102,"_80":102,"_81":103,"_89":106,"_185":188},[189],{"_15":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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