{"id":1894,"date":"2024-10-15T18:24:23","date_gmt":"2024-10-15T18:24:23","guid":{"rendered":"https:\/\/gbelentzas.sites.sch.gr\/?p=1894"},"modified":"2024-10-29T08:59:02","modified_gmt":"2024-10-29T08:59:02","slug":"1-4-%cf%80%ce%bf%ce%bb%ce%bb%ce%b1%cf%80%ce%bb%ce%b1%cf%83%ce%b9%ce%b1%cf%83%ce%bc%cf%8c%cf%82-%cf%80%ce%bf%ce%bb%cf%85%cf%89%ce%bd%cf%8d%ce%bc%cf%89%ce%bd","status":"publish","type":"post","link":"https:\/\/gbelentzas.sites.sch.gr\/?p=1894","title":{"rendered":"1.4 \u03a0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03b1\u03c3\u03bc\u03cc\u03c2 \u03c0\u03bf\u03bb\u03c5\u03c9\u03bd\u03cd\u03bc\u03c9\u03bd"},"content":{"rendered":"

\u039f \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03b1\u03c3\u03bc\u03cc\u03c2 \u03c4\u03c9\u03bd \u03c0\u03bf\u03bb\u03c5\u03c9\u03bd\u03cd\u03bc\u03c9\u03bd \u03b2\u03b1\u03c3\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c3\u03b5 \u03bc\u03b5\u03b3\u03ac\u03bb\u03bf \u03b2\u03b1\u03b8\u03bc\u03cc \u03c3\u03c4\u03b7\u03bd \u03b5\u03c0\u03b9\u03bc\u03b5\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1, \u03b7 \u03bf\u03c0\u03bf\u03af\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03ad\u03bd\u03b1 \u03b8\u03b5\u03bc\u03b5\u03bb\u03b9\u03ce\u03b4\u03b5\u03c2 \u03b5\u03c1\u03b3\u03b1\u03bb\u03b5\u03af\u03bf \u03c4\u03b7\u03c2 \u03ac\u03bb\u03b3\u03b5\u03b2\u03c1\u03b1\u03c2. \u0397 \u03b5\u03c0\u03b9\u03bc\u03b5\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 \u03bc\u03b1\u03c2 \u03bb\u03ad\u03b5\u03b9 \u03cc\u03c4\u03b9 \u03b3\u03b9\u03b1 \u03bf\u03c0\u03bf\u03b9\u03b1\u03b4\u03ae\u03c0\u03bf\u03c4\u03b5 \u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af\u03b1 \"\alpha\", \"\beta\", \u03ba\u03b1\u03b9 \"\gamma\", \u03b9\u03c3\u03c7\u03cd\u03b5\u03b9 \u03b7 \u03c3\u03c7\u03ad\u03c3\u03b7:<\/p>\n

  <\/span>   <\/span>\"\[<\/p>\n

\u0391\u03c5\u03c4\u03ae \u03b7 \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 \u03b5\u03c6\u03b1\u03c1\u03bc\u03cc\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c3\u03c4\u03bf\u03bd \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03b1\u03c3\u03bc\u03cc \u03c0\u03bf\u03bb\u03c5\u03c9\u03bd\u03cd\u03bc\u03c9\u03bd. \u038c\u03c4\u03b1\u03bd \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03ac\u03b6\u03bf\u03c5\u03bc\u03b5 \u03b4\u03cd\u03bf \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03b1, \u03b5\u03c6\u03b1\u03c1\u03bc\u03cc\u03b6\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7\u03bd \u03b5\u03c0\u03b9\u03bc\u03b5\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03ac\u03c3\u03bf\u03c5\u03bc\u03b5 \u03ba\u03ac\u03b8\u03b5 \u03cc\u03c1\u03bf \u03c4\u03bf\u03c5 \u03b5\u03bd\u03cc\u03c2 \u03c0\u03bf\u03bb\u03c5\u03c9\u03bd\u03cd\u03bc\u03bf\u03c5 \u03bc\u03b5 \u03ba\u03ac\u03b8\u03b5 \u03cc\u03c1\u03bf \u03c4\u03bf\u03c5 \u03ac\u03bb\u03bb\u03bf\u03c5.<\/p>\n

\u03a0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1<\/h2>\n

\u0391\u03c2 \u03c5\u03c0\u03bf\u03b8\u03ad\u03c3\u03bf\u03c5\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03b8\u03ad\u03bb\u03bf\u03c5\u03bc\u03b5 \u03bd\u03b1 \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03ac\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b1 \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03b1 \"(x + 2)\" \u03ba\u03b1\u03b9 \"(x + 3)\". \u03a3\u03cd\u03bc\u03c6\u03c9\u03bd\u03b1 \u03bc\u03b5 \u03c4\u03b7\u03bd \u03b5\u03c0\u03b9\u03bc\u03b5\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1, \u03ba\u03ac\u03b8\u03b5 \u03cc\u03c1\u03bf\u03c2 \u03c4\u03bf\u03c5 \u03c0\u03c1\u03ce\u03c4\u03bf\u03c5 \u03c0\u03bf\u03bb\u03c5\u03c9\u03bd\u03cd\u03bc\u03bf\u03c5 \u03b8\u03b1 \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03b1\u03c3\u03c4\u03b5\u03af \u03bc\u03b5 \u03ba\u03ac\u03b8\u03b5 \u03cc\u03c1\u03bf \u03c4\u03bf\u03c5 \u03b4\u03b5\u03cd\u03c4\u03b5\u03c1\u03bf\u03c5:<\/p>\n

  <\/span>   <\/span>\"\[<\/p>\n

\u03a3\u03c4\u03b7 \u03c3\u03c5\u03bd\u03ad\u03c7\u03b5\u03b9\u03b1, \u03b5\u03c6\u03b1\u03c1\u03bc\u03cc\u03b6\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7\u03bd \u03b5\u03c0\u03b9\u03bc\u03b5\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 \u03b3\u03b9\u03b1 \u03ba\u03ac\u03b8\u03b5 \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03b1\u03c3\u03bc\u03cc:<\/p>\n

  <\/span>   <\/span>\"\[<\/p>\n

  <\/span>   <\/span>\"\[<\/p>\n

\u03a4\u03b5\u03bb\u03b9\u03ba\u03ac, \u03c0\u03c1\u03bf\u03c3\u03b8\u03ad\u03c4\u03bf\u03c5\u03bc\u03b5 \u03cc\u03bb\u03bf\u03c5\u03c2 \u03c4\u03bf\u03c5\u03c2 \u03cc\u03c1\u03bf\u03c5\u03c2:<\/p>\n

  <\/span>   <\/span>\"\[<\/p>\n

 <\/p>\n

\n

\u0386\u03c3\u03ba\u03b7\u03c3\u03b7 1<\/strong><\/p>\n

\u039d\u03b1 \u03ba\u03ac\u03bd\u03b5\u03c4\u03b5 \u03c4\u03b9\u03c2 \u03c0\u03c1\u03ac\u03be\u03b5\u03b9\u03c2:<\/p>\n

\u03b1. \u00a0<\/strong>\"3x \cdot (x^2 + 2x - 5)\"
\n\u03b2.<\/strong> \"-2y \cdot (y^2 - 3y + 4)\"
\n\u03b3.<\/strong> \"4x \cdot (2x - 7)\"
\n\u03b4.<\/strong> \"5xy \cdot (2x - 3y + 1)\"
\n\u03b5.<\/strong> \"-3x^2y \cdot (x^2 - xy + y^2)\"<\/p>\n

\u0386\u03c3\u03ba\u03b7\u03c3\u03b7 2<\/strong><\/p>\n

\u039d\u03b1 \u03ba\u03ac\u03bd\u03b5\u03c4\u03b5 \u03c4\u03b9\u03c2 \u03c0\u03c1\u03ac\u03be\u03b5\u03b9\u03c2:<\/p>\n

\u03b1.<\/strong> \"(x + 3) \cdot (x - 2)\"
\n\u03b2. <\/strong>\"(2x + 5) \cdot (x^2 - 3x + 4)\"
\n\u03b3.<\/strong> \"(x - 1) \cdot (x^2 + x + 1)\"
\n\u03b4.<\/strong> \"(x + y) \cdot (x - y)\"
\n\u03b5.<\/strong> \"(2x + 3y-1) \cdot (x - y)\"<\/p>\n

\u0386\u03c3\u03ba\u03b7\u03c3\u03b7 3<\/strong><\/p>\n

\u039d\u03b1 \u03ba\u03ac\u03bd\u03b5\u03c4\u03b5 \u03c4\u03b9\u03c2 \u03c0\u03c1\u03ac\u03be\u03b5\u03b9\u03c2:<\/p>\n

\u03b1.<\/strong> \"2x \cdot (x + 3)(x - 5)\"
\n\u03b2.<\/strong> \"-3y \cdot (y^2 - 2y + 4)(y + 1)\"
\n\u03b3.<\/strong> \u00a0\"4xy \cdot (x - 2)(y + 3)(x + y)\"<\/p>\n

 <\/p>\n

\u0386\u03c3\u03ba\u03b7\u03c3\u03b7 4 <\/strong><\/p>\n

\u0394\u03af\u03bd\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c4\u03b1 \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03b1 \"A(x)\" \u03ba\u03b1\u03b9 \"B(x)\":<\/p>\n

  <\/span>   <\/span>\"\[<\/p>\n

  <\/span>   <\/span>\"\[<\/p>\n

1.<\/strong> \u039d\u03b1 \u03b2\u03c1\u03b5\u03af\u03c4\u03b5 \u03c4\u03bf \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03bf \"A(x) \cdot B(x)\".<\/p>\n

2.<\/strong> \u039d\u03b1 \u03b2\u03c1\u03b5\u03af\u03c4\u03b5 \u03c4\u03bf \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03bf \"A(x) \cdot [2B(x) - 7x + 5]\".<\/p>\n

3.<\/strong> \u039d\u03b1 \u03b2\u03c1\u03b5\u03af\u03c4\u03b5 \u03c4\u03bf \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03bf \"[A(x) + 3] \cdot [B(x) - 4]\".<\/p>\n

 <\/p>\n

\u0386\u03c3\u03ba\u03b7\u03c3\u03b7 5<\/strong><\/p>\n

\u0394\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03c4\u03bf \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03bf \"P(x) = 2x(x + 3)(x - 4)\" \u03ba\u03b1\u03b9 \u03c4\u03bf \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03bf \"Q(x) = \alpha x^3 + \beta x^2 + \gamma x + \delta\". \u039d\u03b1 \u03b2\u03c1\u03b5\u03af\u03c4\u03b5 \u03c4\u03b9\u03c2 \u03c4\u03b9\u03bc\u03ad\u03c2 \u03c4\u03c9\u03bd \"\alpha\", \"\beta\", \"\gamma\" \u03ba\u03b1\u03b9 \"\delta\" \u03ce\u03c3\u03c4\u03b5 \u03c4\u03b1 \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03b1 \"P(x)\" \u03ba\u03b1\u03b9 \"Q(x)\" \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03af\u03c3\u03b1.<\/p>\n","protected":false},"excerpt":{"rendered":"

\u039f \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03b1\u03c3\u03bc\u03cc\u03c2 \u03c4\u03c9\u03bd \u03c0\u03bf\u03bb\u03c5\u03c9\u03bd\u03cd\u03bc\u03c9\u03bd \u03b2\u03b1\u03c3\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c3\u03b5 \u03bc\u03b5\u03b3\u03ac\u03bb\u03bf \u03b2\u03b1\u03b8\u03bc\u03cc \u03c3\u03c4\u03b7\u03bd \u03b5\u03c0\u03b9\u03bc\u03b5\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1, \u03b7 \u03bf\u03c0\u03bf\u03af\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03ad\u03bd\u03b1 \u03b8\u03b5\u03bc\u03b5\u03bb\u03b9\u03ce\u03b4\u03b5\u03c2 \u03b5\u03c1\u03b3\u03b1\u03bb\u03b5\u03af\u03bf \u03c4\u03b7\u03c2 \u03ac\u03bb\u03b3\u03b5\u03b2\u03c1\u03b1\u03c2. \u0397 \u03b5\u03c0\u03b9\u03bc\u03b5\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 \u03bc\u03b1\u03c2 \u03bb\u03ad\u03b5\u03b9 \u03cc\u03c4\u03b9 \u03b3\u03b9\u03b1 \u03bf\u03c0\u03bf\u03b9\u03b1\u03b4\u03ae\u03c0\u03bf\u03c4\u03b5 \u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af\u03b1 , , \u03ba\u03b1\u03b9 , \u03b9\u03c3\u03c7\u03cd\u03b5\u03b9 \u03b7 \u03c3\u03c7\u03ad\u03c3\u03b7:     \u0391\u03c5\u03c4\u03ae \u03b7 \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 \u03b5\u03c6\u03b1\u03c1\u03bc\u03cc\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c3\u03c4\u03bf\u03bd \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03b1\u03c3\u03bc\u03cc \u03c0\u03bf\u03bb\u03c5\u03c9\u03bd\u03cd\u03bc\u03c9\u03bd. \u038c\u03c4\u03b1\u03bd \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03ac\u03b6\u03bf\u03c5\u03bc\u03b5 \u03b4\u03cd\u03bf \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03b1, \u03b5\u03c6\u03b1\u03c1\u03bc\u03cc\u03b6\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7\u03bd…<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[40],"tags":[],"class_list":["post-1894","post","type-post","status-publish","format-standard","hentry","category-1--"],"featured_image_src":null,"author_info":{"display_name":"admin","author_link":"https:\/\/gbelentzas.sites.sch.gr\/?author=1"},"yoast_head":"\n1.4 \u03a0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03b1\u03c3\u03bc\u03cc\u03c2 \u03c0\u03bf\u03bb\u03c5\u03c9\u03bd\u03cd\u03bc\u03c9\u03bd - 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