[{"_1":2,"_187":-5,"_188":-5},"loaderData",{"_3":4,"_6":7},"root",{"_5":-5},"user","pages/questions/show/index",{"_8":9,"_10":11,"_44":45,"_46":47,"_63":177,"_178":179},"comments",[],"question",{"_12":13,"_14":13,"_15":16,"_17":18,"_41":13,"_42":43},"correctOptionId","","difficulty","id","ee8455b8-67eb-4bed-afb6-1fef7959628b","options",[19,25,29,33,37],{"_15":20,"_21":22,"_23":24},"83e404fd-09bc-4b2a-83fb-3b6719e92794","label","A","text","1",{"_15":26,"_21":27,"_23":28},"7637f74e-cebb-48b8-96a7-f0b066e94b58","B","2",{"_15":30,"_21":31,"_23":32},"1891951b-cb46-483f-8f3c-a5bb2756e858","C","3",{"_15":34,"_21":35,"_23":36},"411973f5-7f9d-4dd5-9522-7a1e67d4efbe","D","4",{"_15":38,"_21":39,"_23":40},"c058de24-5e3f-45c3-a780-f0eb50dd0ea1","E","5","solution_explanation","statement","

17. (Bulgária) Seja p(x) um polinômio de grau 2 tal que p(0) = \text{cos}(10), p(1) = \text{cos}(10) \text{sen}(10) e p(2) = 0. Então o valor de 2p(3) é igual a:

","relatedVideos",[],"similarQuestions",[48,104,120,140,160],{"_12":13,"_14":13,"_15":49,"_17":50,"_41":13,"_42":62,"_63":64},"0b6f4c25-a5b8-4e25-8a27-f76b5729b64e",[51,54,56,58,60],{"_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":28},"b8eed276-b85e-4c19-b7a9-8f92bb43f3ca",{"_15":59,"_21":35,"_23":32},"0a08415b-67cf-4f3c-a504-651527fbefcd",{"_15":61,"_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",[65,88,96],{"_15":66,"_67":68,"_69":70,"_71":72,"_73":74,"_75":76,"_77":76,"_78":79,"_86":87},"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",{"_80":81,"_82":83,"_84":85},"childrenCount",4,"content_count",0,"question_count",3555,"slug","pre-calculo-2",{"_15":89,"_67":90,"_69":91,"_71":72,"_73":-5,"_75":92,"_77":92,"_78":93,"_86":91},"9772e958-72c6-4499-ad47-877cf94d670d","Exatas","exatas","2025-04-29T01:56:45.284172+00:00",{"_80":94,"_82":83,"_84":95},18,135489,{"_15":74,"_67":97,"_69":98,"_71":72,"_73":89,"_75":99,"_77":99,"_78":100,"_86":103},"Matemática","matematica","2025-04-29T02:19:12.828432+00:00",{"_80":101,"_82":83,"_84":102},8,40655,"matematica-10",{"_12":13,"_14":13,"_15":105,"_17":106,"_41":13,"_42":118,"_63":119},"66bd27e3-ce98-4b83-a244-55e758adf328",[107,109,112,115],{"_15":108,"_21":22,"_23":36},"6a31809c-23f4-49f8-93ad-40c26d3192d1",{"_15":110,"_21":27,"_23":111},"9f7de9bd-67be-4d06-93a7-4723f7a4ea04","8",{"_15":113,"_21":31,"_23":114},"525dd39a-67b7-432a-b2ff-adeb035c0443","10",{"_15":116,"_21":35,"_23":117},"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",[65,88,96],{"_12":13,"_14":13,"_15":121,"_17":122,"_41":13,"_42":138,"_63":139},"80b083f3-eaf0-437e-af93-22ab13ad2012",[123,126,129,132,135],{"_15":124,"_21":22,"_23":125},"61b623c6-6a42-40da-b145-6dae697ac80c","2222x + 252-",{"_15":127,"_21":27,"_23":128},"642e358a-93cb-493b-bccb-c32933c5fd40","2444x + 252+",{"_15":130,"_21":31,"_23":131},"d4094d52-329a-4785-8270-238a3c7afd9c","444x + 252-",{"_15":133,"_21":35,"_23":134},"0eaec174-6ab6-488b-8580-43ef0050f4dc","222x + 252+",{"_15":136,"_21":39,"_23":137},"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",[65,88,96],{"_12":13,"_14":13,"_15":141,"_17":142,"_41":13,"_42":158,"_63":159},"a30fdb2c-b621-49bc-a88f-6d9d8be3119a",[143,146,149,152,155],{"_15":144,"_21":22,"_23":145},"5308af1d-e65c-40cd-94ce-61ce2ef1190c","1 e 2",{"_15":147,"_21":27,"_23":148},"995abf5e-986f-4655-a951-701cd6d2b5cc","1 e 2-",{"_15":150,"_21":31,"_23":151},"bd1c8c10-4c28-4a79-b759-f687c00376e5","1- e 3",{"_15":153,"_21":35,"_23":154},"2dcb4dec-5ad1-4cfe-946a-6c2df3c3b02e","1- e 3-",{"_15":156,"_21":39,"_23":157},"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,",[65,88,96],{"_12":13,"_14":13,"_15":161,"_17":162,"_41":13,"_42":175,"_63":176},"bcba27c1-092c-4a9f-b7c8-d7d3cf1ca51f",[163,166,169,172],{"_15":164,"_21":22,"_23":165},"6c1a2c64-f2b8-4883-ac05-22f20d7d44db","n é par e m é par.",{"_15":167,"_21":27,"_23":168},"7a9615d0-bd4c-45f9-89e9-dff76c754eb7","n é ímpar e m é ímpar.",{"_15":170,"_21":31,"_23":171},"c5c15099-db49-484a-a311-12511039c191","n é par e m é ímpar.",{"_15":173,"_21":35,"_23":174},"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",[65,88,96],[65,88,96],"tagsTree",[180],{"_15":89,"_67":90,"_69":91,"_71":72,"_73":-5,"_75":92,"_77":92,"_78":93,"_86":91,"_181":182},"children",[183],{"_15":74,"_67":97,"_69":98,"_71":72,"_73":89,"_75":99,"_77":99,"_78":100,"_86":103,"_181":184},[185],{"_15":66,"_67":68,"_69":70,"_71":72,"_73":74,"_75":76,"_77":76,"_78":79,"_86":87,"_181":186},[],"actionData","errors"]

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