[{"data":1,"prerenderedAt":132},["ShallowReactive",2],{"\u002Fpublic\u002Ftopics\u002Falgebra\u002Fdivision-algebraica?{}":3,"topics-with-content:algebra":108},{"course":4,"topic":12,"counts":17,"universities":21,"channels":29,"sampleQuestions":64,"sameName":107},{"id":5,"slug":6,"name":7,"shortName":8,"area":9,"icon":10,"sortOrder":11},2,"algebra","Álgebra","Álg.","math","i-lucide-variable",1,{"id":13,"courseId":5,"slug":14,"name":15,"sortOrder":16},204,"division-algebraica","División algebraica",3,{"topicId":13,"courseId":5,"questions":16,"classes":18,"videos":19,"minutes":20},131,106,3149,[22,26],{"universityId":11,"questions":5,"years":23},[24,25],2025,2024,{"universityId":5,"questions":11,"years":27},[28],2022,[30,33,36,39,42,45,48,51,53,56,58,60,62],{"name":31,"classes":32},"Academia ipluton",30,{"name":34,"classes":35},"Alberto Cruz",26,{"name":37,"classes":38},"Ciclo Uni-San Marcos",17,{"name":40,"classes":41},"META VILLARREAL",14,{"name":43,"classes":44},"Academia Grupo Ciencias",13,{"name":46,"classes":47},"CEPRE UNMSM",7,{"name":49,"classes":50},"Academia Internet",5,{"name":52,"classes":50},"Trilce Multimedia",{"name":54,"classes":55},"Salón Sapiens",4,{"name":57,"classes":16},"Academias Aduni y César Vallejo",{"name":59,"classes":16},"Pamer Corporación Educativa",{"name":61,"classes":16},"Saco Oliveros",{"name":63,"classes":11},"Academia_Pitagoras",[65,90],{"id":66,"courseId":5,"topicId":13,"pastExamId":67,"stem":68,"options":69,"correctKey":74,"explanation":85,"difficulty":50,"status":86,"source":87,"stats":88},4651,242,"Víctor compra $n$ pasajes en una agencia de viajes; $n$ es tal que permite que la división algebraica\n$$\\dfrac{(2x+3)^{2n}(x+5)}{(x+1)(x+2)},\\ n\\in\\mathbb{N}$$\ntenga un cociente cuyo término independiente sea 1820 y que el residuo de la división sea $(x+5)$. Halle el número de pasajes que compró Víctor.",[70,73,76,79,82],{"key":71,"text":72},"A","1",{"key":74,"text":75},"B","3",{"key":77,"text":78},"C","2",{"key":80,"text":81},"D","4",{"key":83,"text":84},"E","5","","published","UNMSM 2025-I · Medicina Humana",{"attempts":89,"accuracy":89},0,{"id":91,"courseId":5,"topicId":13,"pastExamId":92,"stem":93,"options":94,"correctKey":77,"explanation":85,"difficulty":55,"status":86,"source":105,"stats":106},3876,230,"El área de un terreno rectangular, en metros cuadrados, es numéricamente igual a la suma de los cuadrados de los coeficientes del residuo de la división $\\dfrac{2(x-1)^{4}(x+1)+(x+2)(x-2)^{3}}{(x-2)(x+1)}$. En el interior de este terreno, se construye una piscina de forma cuadrada cuyo lado mide 17 metros. Determine el área de la región que no ocupa la piscina.",[95,97,99,101,103],{"key":71,"text":96},"79 m$^{2}$",{"key":74,"text":98},"80 m$^{2}$",{"key":77,"text":100},"88 m$^{2}$",{"key":80,"text":102},"85 m$^{2}$",{"key":83,"text":104},"84 m$^{2}$","UNMSM 2024-I · Medicina Humana",{"attempts":89,"accuracy":89},[],[109,110,111,13,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131],201,202,203,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,223,225,226,1791501525281]