{"id":225,"date":"2013-04-29T20:58:06","date_gmt":"2013-04-29T20:58:06","guid":{"rendered":"http:\/\/www.latinhire.com\/material\/?p=225"},"modified":"2022-05-07T06:34:35","modified_gmt":"2022-05-07T10:34:35","slug":"division-de-polinomios","status":"publish","type":"post","link":"https:\/\/www.latinhire.com\/es\/division-de-polinomios\/","title":{"rendered":"Divisi\u00f3n de Polinomios"},"content":{"rendered":"<div id=\"gallery-1\" class=\"wpex-gallery wpex-grid wpex-grid-cols-3 wpex-gap-20 wpex-lightbox-group\"><figure class=\"gallery-item\"><a href=\"https:\/\/www.latinhire.com\/wp-content\/uploads\/2013\/04\/whiteboard_1.png\" class=\"wpex-lightbox-group-item\"><img decoding=\"async\" data-src=\"https:\/\/www.latinhire.com\/wp-content\/uploads\/2013\/04\/whiteboard_1-500x500.png\" alt=\"\" data-srcset=\"https:\/\/www.latinhire.com\/wp-content\/uploads\/2013\/04\/whiteboard_1-500x500.png 500w, https:\/\/www.latinhire.com\/wp-content\/uploads\/2013\/04\/whiteboard_1-150x150.png 150w\" width=\"500\" height=\"500\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" class=\"lazyload\" style=\"--smush-placeholder-width: 500px; --smush-placeholder-aspect-ratio: 500\/500;\"><\/a><\/figure><figure class=\"gallery-item\"><a href=\"https:\/\/www.latinhire.com\/wp-content\/uploads\/2013\/04\/whiteboard_2.png\" class=\"wpex-lightbox-group-item\"><img decoding=\"async\" data-src=\"https:\/\/www.latinhire.com\/wp-content\/uploads\/2013\/04\/whiteboard_2-500x500.png\" alt=\"\" data-srcset=\"https:\/\/www.latinhire.com\/wp-content\/uploads\/2013\/04\/whiteboard_2-500x500.png 500w, https:\/\/www.latinhire.com\/wp-content\/uploads\/2013\/04\/whiteboard_2-150x150.png 150w\" width=\"500\" height=\"500\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" class=\"lazyload\" style=\"--smush-placeholder-width: 500px; --smush-placeholder-aspect-ratio: 500\/500;\"><\/a><\/figure><figure class=\"gallery-item\"><a href=\"https:\/\/www.latinhire.com\/wp-content\/uploads\/2013\/04\/whiteboard_3.png\" class=\"wpex-lightbox-group-item\"><img decoding=\"async\" data-src=\"https:\/\/www.latinhire.com\/wp-content\/uploads\/2013\/04\/whiteboard_3-500x500.png\" alt=\"\" data-srcset=\"https:\/\/www.latinhire.com\/wp-content\/uploads\/2013\/04\/whiteboard_3-500x500.png 500w, https:\/\/www.latinhire.com\/wp-content\/uploads\/2013\/04\/whiteboard_3-150x150.png 150w\" width=\"500\" height=\"500\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" class=\"lazyload\" style=\"--smush-placeholder-width: 500px; --smush-placeholder-aspect-ratio: 500\/500;\"><\/a><\/figure><figure class=\"gallery-item\"><a href=\"https:\/\/www.latinhire.com\/wp-content\/uploads\/2013\/04\/whiteboard_33.png\" class=\"wpex-lightbox-group-item\"><img decoding=\"async\" data-src=\"https:\/\/www.latinhire.com\/wp-content\/uploads\/2013\/04\/whiteboard_33-500x500.png\" alt=\"\" data-srcset=\"https:\/\/www.latinhire.com\/wp-content\/uploads\/2013\/04\/whiteboard_33-500x500.png 500w, https:\/\/www.latinhire.com\/wp-content\/uploads\/2013\/04\/whiteboard_33-150x150.png 150w\" width=\"500\" height=\"500\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" class=\"lazyload\" style=\"--smush-placeholder-width: 500px; --smush-placeholder-aspect-ratio: 500\/500;\"><\/a><\/figure><\/div>\n\n<p><strong>Comentario del Tutor:<\/strong> Eleg\u00ed esta sesi\u00f3n ya que abarca un tema que no es muy usual de ver en Argentina ,\u00a0divisi\u00f3n\u00a0de polinomios , por otro lado , en esta sesi\u00f3n el alumno no tenia un problema puntual para resolver , sino que\u00a0necesitaba\u00a0practica, \u00a0esto no es muy com\u00fan , ya que normalmente los alumnos nos piden ayuda para resolver problemas particulares, a su vez trae una\u00a0complicaci\u00f3n\u00a0, ya que se debe proveer un ejercicio adecuado al nivel del alumno , ni muy\u00a0b\u00e1sico\u00a0ni muy elevado . Por eso mismo en esta\u00a0sesi\u00f3n\u00a0comenzamos con un ejercicio simple , para comprobar que el alumno tuviese los conocimientos\u00a0b\u00e1sicos\u00a0necesarios , y luego optamos por resolver uno mas complicado , logrando que el alumno se esfuerce para resolver el ejercicio.<\/p>\n<p><strong>Student<\/strong><\/p>\n<p>I need help understanding division of polynomial a by monomials and polynomials.<\/p>\n<p><strong>Tutor<\/strong><\/p>\n<p>Welcome! My name is Javier . How are you ?<\/p>\n<p><strong>Student<\/strong><\/p>\n<p>Hello Javier. I am great. How are you?<\/p>\n<p><strong>Tutor<\/strong><\/p>\n<p>Im fine , thanks for asking \ud83d\ude42<\/p>\n<p><strong>Student<\/strong><\/p>\n<p>Can you give me an example of a polynomial divided by a monomial and I will give it a shot?<\/p>\n<p><strong>Tutor<\/strong><\/p>\n<p>sure<\/p>\n<p>x^5 +3x^3 + 4x^2 \/ x^2<\/p>\n<p><strong>Student<\/strong><\/p>\n<p>is that right?<\/p>\n<p><strong>Tutor<\/strong><\/p>\n<p>perfect ! \ud83d\ude00<\/p>\n<p><strong>Student<\/strong><\/p>\n<p>Sweet. I am starting to understand them I think<\/p>\n<p>how about division by a polynomial?<\/p>\n<p><strong>Tutor<\/strong><\/p>\n<p>ok lets try this one<\/p>\n<p>x^3+2x^2 +x+1 \/ x+1<\/p>\n<p>perfect \ud83d\ude00<\/p>\n<p>right !<\/p>\n<p>and you have a remainder<\/p>\n<p><strong>Student<\/strong><\/p>\n<p>not for this one right?<\/p>\n<p>oh yes I do<\/p>\n<p><strong>Tutor<\/strong><\/p>\n<p>mmm let me check something<\/p>\n<p>oh thats right \ud83d\ude42<\/p>\n<p>because you erased the 1 now , that was confusing me \ud83d\ude42<\/p>\n<p>now its perfect !<\/p>\n<p><strong>Student<\/strong><\/p>\n<p>hmmmm. lets try one like that again that comes out with a remainder. I got a little iffy there at the end<\/p>\n<p>Sweet<\/p>\n<p>can we try another one that will come out with a remainder?<\/p>\n<p><strong>Tutor<\/strong><\/p>\n<p>ok<\/p>\n<p>let me think another example<\/p>\n<p>ok<\/p>\n<p>4x^3 + 2x^2 + 5 \/ x-3<\/p>\n<p><strong>Student<\/strong><\/p>\n<p>How does that look?<\/p>\n<p><strong>Tutor<\/strong><\/p>\n<p>lets check that \ud83d\ude42<\/p>\n<p>dont forget the 5 \ud83d\ude42<\/p>\n<p><strong>Student<\/strong><\/p>\n<p>ummm ok, lets back up. I&#8217;m confused<\/p>\n<p><strong>Tutor<\/strong><\/p>\n<p>sure<\/p>\n<p>up to that step its perfect \ud83d\ude00<\/p>\n<p><strong>Student<\/strong><\/p>\n<p>so in order to get 14x^2 I must multiply by 14x<\/p>\n<p><strong>Tutor<\/strong><\/p>\n<p>right<\/p>\n<p><strong>Student<\/strong><\/p>\n<p>now I switch the signs and add<\/p>\n<p><strong>Tutor<\/strong><\/p>\n<p>wait<\/p>\n<p>we are doing 42x +5<\/p>\n<p>we cannot add something with an X to something without an X , right ?<\/p>\n<p><strong>Student<\/strong><\/p>\n<p>oh, it just came to me&#8230;I needed a place holder<\/p>\n<p><strong>Tutor<\/strong><\/p>\n<p>right hehe<\/p>\n<p><strong>Student<\/strong><\/p>\n<p>may we start this over again<\/p>\n<p>tricky little devil<\/p>\n<p>\ud83d\ude42<\/p>\n<p><strong>Tutor<\/strong><\/p>\n<p>sure \ud83d\ude42<\/p>\n<p><strong>Student<\/strong><\/p>\n<p>Thank you for throwing that in because I had forgotten all about that<\/p>\n<p><strong>Tutor<\/strong><\/p>\n<p>ok , lets start again \ud83d\ude42<\/p>\n<p>perfect !<\/p>\n<p>wait please<\/p>\n<p>how did the 5 transformed into 126 ?<\/p>\n<p>oh sorry<\/p>\n<p><strong>Student<\/strong><\/p>\n<p>so in order to get 42x I must multiply by 42<\/p>\n<p><strong>Tutor<\/strong><\/p>\n<p>because of the 42 \ud83d\ude42<\/p>\n<p>yeah i missed that , sorry \ud83d\ude42<\/p>\n<p>continue please<\/p>\n<p><strong>Student<\/strong><\/p>\n<p>no problem<\/p>\n<p>does that look right now?<\/p>\n<p><strong>Tutor<\/strong><\/p>\n<p>yes it does \ud83d\ude42<\/p>\n<p>its perfect \ud83d\ude00<\/p>\n<p><strong>Student<\/strong><\/p>\n<p>OK, great<\/p>\n<p>so I need to remember to watch out for the exponents<\/p>\n<p>and use a place holder whenever needed<\/p>\n<p><strong>Tutor<\/strong><\/p>\n<p>right \ud83d\ude00<\/p>\n<p>do you have any questions about what we have covered today ?<\/p>\n<p><strong>Student<\/strong><\/p>\n<p>I think I am good for now. I need to practice a little more but I am starting to grasp this. Thank you so much for the help.<\/p>\n<p>Have a nice evening!<\/p>\n<p><strong>Tutor<\/strong><\/p>\n<p>your welcome \ud83d\ude42<\/p>\n<p><strong><span style=\"color: #000080;\">Colaborador: Javier Verde, Tutor Argentino de \u00c1lgebra<\/span><\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Comentario del Tutor: Eleg\u00ed esta sesi\u00f3n ya que abarca un tema que no es muy usual de ver en Argentina ,\u00a0divisi\u00f3n\u00a0de polinomios , por otro lado , en esta sesi\u00f3n el alumno no tenia un problema puntual para resolver , sino que\u00a0necesitaba\u00a0practica, \u00a0esto no es muy com\u00fan , ya que normalmente los alumnos nos piden&hellip;<\/p>\n","protected":false},"author":9,"featured_media":3598,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"gallery","meta":{"footnotes":""},"categories":[81,89,88],"tags":[],"post_series":[],"class_list":["post-225","post","type-post","status-publish","format-gallery","has-post-thumbnail","hentry","category-algebra","category-ejemplos-de-tutorias","category-matematicas","post_format-post-format-gallery","entry","has-media"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.latinhire.com\/es\/wp-json\/wp\/v2\/posts\/225","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.latinhire.com\/es\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.latinhire.com\/es\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.latinhire.com\/es\/wp-json\/wp\/v2\/users\/9"}],"replies":[{"embeddable":true,"href":"https:\/\/www.latinhire.com\/es\/wp-json\/wp\/v2\/comments?post=225"}],"version-history":[{"count":2,"href":"https:\/\/www.latinhire.com\/es\/wp-json\/wp\/v2\/posts\/225\/revisions"}],"predecessor-version":[{"id":6841,"href":"https:\/\/www.latinhire.com\/es\/wp-json\/wp\/v2\/posts\/225\/revisions\/6841"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.latinhire.com\/es\/wp-json\/wp\/v2\/media\/3598"}],"wp:attachment":[{"href":"https:\/\/www.latinhire.com\/es\/wp-json\/wp\/v2\/media?parent=225"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.latinhire.com\/es\/wp-json\/wp\/v2\/categories?post=225"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.latinhire.com\/es\/wp-json\/wp\/v2\/tags?post=225"},{"taxonomy":"post_series","embeddable":true,"href":"https:\/\/www.latinhire.com\/es\/wp-json\/wp\/v2\/post_series?post=225"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}