[{"_1":2,"_188":-5,"_189":-5},"loaderData",{"_3":4,"_6":7},"root",{"_5":-5},"user","pages/questions/show/index",{"_8":9,"_10":11,"_44":45,"_46":47,"_64":178,"_179":180},"comments",[],"question",{"_12":13,"_14":13,"_15":16,"_17":18,"_41":13,"_42":43},"correctOptionId","","difficulty","id","f3a253e3-c8f7-44fd-b9a9-3c0f758c19c4","options",[19,25,29,33,37],{"_15":20,"_21":22,"_23":24},"a25c2f9f-d17f-472d-9bfb-2808b6f61afa","label","A","text","0",{"_15":26,"_21":27,"_23":28},"25817bd0-ed89-4e0d-846a-9deb724c6ae5","B","1",{"_15":30,"_21":31,"_23":32},"afd36218-84d9-4fdd-ac23-27c07c60064c","C","10",{"_15":34,"_21":35,"_23":36},"4d2c4f16-b967-472f-b8a2-2689cdda8ddb","D","\\frac{2}{5}",{"_15":38,"_21":39,"_23":40},"1dc96817-158f-4952-b121-12eba66c5440","E","2","solution_explanation","statement","

O polinômio p(x)=x^4-8x^3+22x-21 possui uma única raiz real igual a 3. Portanto a equação (5x-2)⁴-8(5x-2)³+22(5x-2)-21=0 tem como solução real o número:

","relatedVideos",[],"similarQuestions",[48,105,121,141,161],{"_12":13,"_14":13,"_15":49,"_17":50,"_41":13,"_42":63,"_64":65},"0b6f4c25-a5b8-4e25-8a27-f76b5729b64e",[51,53,55,57,60],{"_15":52,"_21":22,"_23":24},"3b01fd8f-e84b-4147-9feb-3ec5370c763b",{"_15":54,"_21":27,"_23":28},"b0be23fe-9158-4197-9b80-e7eb41af9c70",{"_15":56,"_21":31,"_23":40},"b8eed276-b85e-4c19-b7a9-8f92bb43f3ca",{"_15":58,"_21":35,"_23":59},"0a08415b-67cf-4f3c-a504-651527fbefcd","3",{"_15":61,"_21":39,"_23":62},"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",[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":119,"_64":120},"66bd27e3-ce98-4b83-a244-55e758adf328",[108,111,114,116],{"_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":32},"525dd39a-67b7-432a-b2ff-adeb035c0443",{"_15":117,"_21":35,"_23":118},"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":122,"_17":123,"_41":13,"_42":139,"_64":140},"80b083f3-eaf0-437e-af93-22ab13ad2012",[124,127,130,133,136],{"_15":125,"_21":22,"_23":126},"61b623c6-6a42-40da-b145-6dae697ac80c","2222x + 252-",{"_15":128,"_21":27,"_23":129},"642e358a-93cb-493b-bccb-c32933c5fd40","2444x + 252+",{"_15":131,"_21":31,"_23":132},"d4094d52-329a-4785-8270-238a3c7afd9c","444x + 252-",{"_15":134,"_21":35,"_23":135},"0eaec174-6ab6-488b-8580-43ef0050f4dc","222x + 252+",{"_15":137,"_21":39,"_23":138},"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":142,"_17":143,"_41":13,"_42":159,"_64":160},"a30fdb2c-b621-49bc-a88f-6d9d8be3119a",[144,147,150,153,156],{"_15":145,"_21":22,"_23":146},"5308af1d-e65c-40cd-94ce-61ce2ef1190c","1 e 2",{"_15":148,"_21":27,"_23":149},"995abf5e-986f-4655-a951-701cd6d2b5cc","1 e 2-",{"_15":151,"_21":31,"_23":152},"bd1c8c10-4c28-4a79-b759-f687c00376e5","1- e 3",{"_15":154,"_21":35,"_23":155},"2dcb4dec-5ad1-4cfe-946a-6c2df3c3b02e","1- e 3-",{"_15":157,"_21":39,"_23":158},"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":162,"_17":163,"_41":13,"_42":176,"_64":177},"bcba27c1-092c-4a9f-b7c8-d7d3cf1ca51f",[164,167,170,173],{"_15":165,"_21":22,"_23":166},"6c1a2c64-f2b8-4883-ac05-22f20d7d44db","n é par e m é par.",{"_15":168,"_21":27,"_23":169},"7a9615d0-bd4c-45f9-89e9-dff76c754eb7","n é ímpar e m é ímpar.",{"_15":171,"_21":31,"_23":172},"c5c15099-db49-484a-a311-12511039c191","n é par e m é ímpar.",{"_15":174,"_21":35,"_23":175},"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",[181],{"_15":90,"_68":91,"_70":92,"_72":73,"_74":-5,"_76":93,"_78":93,"_79":94,"_87":92,"_182":183},"children",[184],{"_15":75,"_68":98,"_70":99,"_72":73,"_74":90,"_76":100,"_78":100,"_79":101,"_87":104,"_182":185},[186],{"_15":67,"_68":69,"_70":71,"_72":73,"_74":75,"_76":77,"_78":77,"_79":80,"_87":88,"_182":187},[],"actionData","errors"]

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