{"id":1098,"date":"2016-09-27T17:43:03","date_gmt":"2016-09-27T17:43:03","guid":{"rendered":"http:\/\/wordpress.rose-hulman.edu\/rickert\/?page_id=1098"},"modified":"2016-09-27T17:45:05","modified_gmt":"2016-09-27T17:45:05","slug":"ma315-discrete-and-combinatorial-algebra-quiz-page","status":"publish","type":"page","link":"https:\/\/wordpress.rose-hulman.edu\/rickert\/ma315-discrete-and-combinatorial-algebra-quiz-page\/","title":{"rendered":"MA315 Discrete and Combinatorial Algebra Quiz Page"},"content":{"rendered":"<p>An outline of answers to quiz #7, Monday February 15:<br \/>\n<b>1<\/b>: <span style=\"color: #4444aa;font-size: small\">y,y+1,y+2<\/span><\/p>\n<p><b>2<\/b>: Multiply the linear primes to get the factorable polynomials;<\/p>\n<pre>    y    y+1      y+2\r\ny   y^2  y^2+y   y^2+2y\r\ny+1     y^2+2y+1  y^2+2\r\ny+2              y^2+y+1<\/pre>\n<p>The primes are <span style=\"color: #4444aa;font-size: small\">y<sup>2<\/sup>+1, y<sup>2<\/sup>+y+2,y<sup>2<\/sup>+2y+2<\/span>.<\/p>\n<p><b>3<\/b>:<\/p>\n<pre>[2,1]         3*3= 9\r\n[1,1,1] (4+3+2+1)=10\r\nFactorable     19<\/pre>\n<p>There are 27-19=<span style=\"color: #4444aa;font-size: small\">8<\/span> prime polynomials of degree 3.<\/p>\n<p><b>4<\/b>:<\/p>\n<pre>[3,1]             8*3=24\r\n[2,2]         (3+2+1)= 6\r\n[2,1,1]     3*(3+2+1)=18\r\n[1,1,1,1] (5+4+3+2+1)=15\r\nFactorable            63<\/pre>\n<p>There are 81-63=<span style=\"color: #4444aa;font-size: small\">18<\/span> prime polynomials of degree 4.<\/p>\n<hr \/>\n<p>Go to<\/p>\n<ul>\n<li>my <a href=\"http:\/\/wordpress.rose-hulman.edu\/rickert\/ma315-discrete-and-combinatorial-algebra\/\" target=\"_blank\"><u><span style=\"color: #000080\">MA315 page<\/span><\/u><\/a><\/li>\n<li>the <a href=\"http:\/\/www.rose-hulman.edu\/academics\/academic-departments\/mathematics.aspx\" target=\"_blank\"><u><span style=\"color: #000080\">Mathematics Department Home Page. <\/span><\/u><\/a><\/li>\n<li>my <a href=\"http:\/\/wordpress.rose-hulman.edu\/rickert\/jhrs-class-pages-list\/\" target=\"_blank\"><u><span style=\"color: #000080\">classes page<\/span><\/u><\/a><\/li>\n<li>my <a href=\"http:\/\/wordpress.rose-hulman.edu\/rickert\/\" target=\"_blank\"><u><span style=\"color: #000080\">home page<\/span><\/u><\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p class=\"excerpt\">An outline of answers to quiz #7, Monday February 15: 1: y,y+1,y+2 2: Multiply the linear primes to get the factorable polynomials; y y+1 y+2 y y^2 y^2+y y^2+2y y+1 y^2+2y+1 y^2+2 y+2 y^2+y+1 The primes are y2+1, y2+y+2,y2+2y+2. 3: [2,1] 3*3= 9 [1,1,1] (4+3+2+1)=10 Factorable 19 There are 27-19=8 prime polynomials of degree 3. 4: [3,1] 8*3=24 [2,2] (3+2+1)=&hellip;<\/p>\n<p class=\"more-link-p\"><a class=\"btn btn-default\" href=\"https:\/\/wordpress.rose-hulman.edu\/rickert\/ma315-discrete-and-combinatorial-algebra-quiz-page\/\">Read more<\/a><\/p>\n","protected":false},"author":812,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-1098","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/wordpress.rose-hulman.edu\/rickert\/wp-json\/wp\/v2\/pages\/1098","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wordpress.rose-hulman.edu\/rickert\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/wordpress.rose-hulman.edu\/rickert\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/wordpress.rose-hulman.edu\/rickert\/wp-json\/wp\/v2\/users\/812"}],"replies":[{"embeddable":true,"href":"https:\/\/wordpress.rose-hulman.edu\/rickert\/wp-json\/wp\/v2\/comments?post=1098"}],"version-history":[{"count":3,"href":"https:\/\/wordpress.rose-hulman.edu\/rickert\/wp-json\/wp\/v2\/pages\/1098\/revisions"}],"predecessor-version":[{"id":1107,"href":"https:\/\/wordpress.rose-hulman.edu\/rickert\/wp-json\/wp\/v2\/pages\/1098\/revisions\/1107"}],"wp:attachment":[{"href":"https:\/\/wordpress.rose-hulman.edu\/rickert\/wp-json\/wp\/v2\/media?parent=1098"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}