{"id":1787,"date":"2024-10-07T19:56:45","date_gmt":"2024-10-07T19:56:45","guid":{"rendered":"https:\/\/gbelentzas.sites.sch.gr\/?p=1787"},"modified":"2024-10-11T06:37:08","modified_gmt":"2024-10-11T06:37:08","slug":"1-3-%cf%80%ce%bf%ce%bb%cf%85%cf%8e%ce%bd%cf%85%ce%bc%ce%b1","status":"publish","type":"post","link":"https:\/\/gbelentzas.sites.sch.gr\/?p=1787","title":{"rendered":"1.3 \u03a0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03b1 – \u0392\u03b1\u03b8\u03bc\u03cc\u03c2 \u03c0\u03bf\u03bb\u03c5\u03c9\u03bd\u03cd\u03bc\u03c9\u03bd"},"content":{"rendered":"

<\/i> \u03a3\u03b7\u03bc\u03b5\u03b9\u03ce\u03c3\u03b5\u03b9\u03c2 \u0398\u03b5\u03c9\u03c1\u03af\u03b1\u03c2<\/i><\/b><\/span><\/h4>\n

\u03a3\u03c4\u03b7\u03bd \u03c0\u03c1\u03bf\u03b7\u03b3\u03bf\u03cd\u03bc\u03b5\u03bd\u03b7 \u03b5\u03bd\u03cc\u03c4\u03b7\u03c4\u03b1 \u03b5\u03af\u03b4\u03b1\u03bc\u03b5, \u03cc\u03c4\u03b9 \u03c4\u03bf \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03bc\u03b1 \u03bf\u03bc\u03bf\u03af\u03c9\u03bd \u03bc\u03bf\u03bd\u03c9\u03bd\u03cd\u03bc\u03c9\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03bf\u03bd\u03ce\u03bd\u03c5\u03bc\u03bf \u03cc\u03bc\u03bf\u03b9\u03bf \u03bc\u03b5 \u03b1\u03c5\u03c4\u03ac. \u0391\u03bd \u03b4\u03cd\u03bf \u03c4\u03bf\u03c5\u03bb\u03ac\u03c7\u03b9\u03c3\u03c4\u03bf\u03bd \u03bc\u03bf\u03bd\u03ce\u03bd\u03c5\u03bc\u03b1 \u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03cc\u03bc\u03bf\u03b9\u03b1, \u03c4\u03cc\u03c4\u03b5 \u03c4\u03bf \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03bc\u03ac \u03c4\u03bf\u03c5\u03c2 \u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03bf\u03bd\u03ce\u03bd\u03c5\u03bc\u03bf, \u03b1\u03bb\u03bb\u03ac \u03bc\u03b9\u03b1 \u03b1\u03bb\u03b3\u03b5\u03b2\u03c1\u03b9\u03ba\u03ae \u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03c0\u03bf\u03c5 \u03bb\u03ad\u03b3\u03b5\u03c4\u03b1\u03b9 \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03bf<\/strong>.<\/span><\/em><\/p>\n

\u0393\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1, \u03b7 \u03b1\u03bb\u03b3\u03b5\u03b2\u03c1\u03b9\u03ba\u03ae \u00a0\u03b7 \u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \"-3x + 2x^2 + 5\" \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03bf \u03c9\u03c2 \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03bc\u03b1 \u03bc\u03b7 \u03cc\u03bc\u03bf\u03b9\u03c9\u03bd \u03bc\u03bf\u03bd\u03c9\u03bd\u03cd\u03bc\u03c9\u03bd.<\/p>\n

\u039a\u03ac\u03b8\u03b5 \u03bc\u03bf\u03bd\u03ce\u03bd\u03c5\u03bc\u03bf \u03c0\u03bf\u03c5 \u03c0\u03b5\u03c1\u03b9\u03ad\u03c7\u03b5\u03c4\u03b1\u03b9 \u03c3\u03b5 \u03ad\u03bd\u03b1 \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03bf \u03bb\u03ad\u03b3\u03b5\u03c4\u03b1\u03b9 \u03cc\u03c1\u03bf\u03c2<\/strong> \u03c4\u03bf\u03c5 \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03bf\u03c5. <\/span><\/em><\/p>\n

\u039f\u03b9 \u03cc\u03c1\u03bf\u03b9 \u03c4\u03bf\u03c5 \u03c0\u03bf\u03bb\u03c5\u03c9\u03bd\u03cd\u03bc\u03bf\u03c5 \u00a0-3x + 2x^2 + 5 \u00a0\u03b5\u03af\u03bd\u03b1\u03b9 \u03bf\u03b9 \u03b1\u03ba\u03cc\u03bb\u03bf\u03c5\u03b8\u03bf\u03b9:<\/div>\n
    \n
  • -3x ,<\/li>\n
  • 2x^2,<\/li>\n
  • 5 \u00a0(\u03bf \u03c3\u03c4\u03b1\u03b8\u03b5\u03c1\u03cc\u03c2 \u03cc\u03c1\u03bf\u03c2, \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae \u03cc\u03c1\u03bf\u03c2 \u03c7\u03c9\u03c1\u03af\u03c2 \u03c4\u03b7 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ae \u00a0x ).<\/li>\n<\/ul>\n
    \u039a\u03ac\u03b8\u03b5 \u03ad\u03bd\u03b1\u03c2 \u03b1\u03c0\u03cc \u03b1\u03c5\u03c4\u03bf\u03cd\u03c2 \u03c4\u03bf\u03c5\u03c2 \u03cc\u03c1\u03bf\u03c5\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03ad\u03bd\u03b1 \u03bc\u03bf\u03bd\u03ce\u03bd\u03c5\u03bc\u03bf \u03ba\u03b1\u03b9 \u03c4\u03bf \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03bf \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03bc\u03b1 \u03b1\u03c5\u03c4\u03ce\u03bd \u03c4\u03c9\u03bd \u03bc\u03bf\u03bd\u03c9\u03bd\u03cd\u03bc\u03c9\u03bd.<\/div>\n

    \u03a4\u03bf \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03bf \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03ad\u03c7\u03b5\u03b9 \u03c0\u03bf\u03bb\u03bb\u03bf\u03cd\u03c2 \u03cc\u03c1\u03bf\u03c5\u03c2. \u0395\u03b9\u03b4\u03b9\u03ba\u03cc\u03c4\u03b5\u03c1\u03b1, \u03ad\u03bd\u03b1 \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03bf \u03c0\u03bf\u03c5 \u03b4\u03b5\u03bd \u03ad\u03c7\u03b5\u03b9 \u03cc\u03bc\u03bf\u03b9\u03bf\u03c5\u03c2 \u03cc\u03c1\u03bf\u03c5\u03c2 \u03bb\u03ad\u03b3\u03b5\u03c4\u03b1\u03b9:<\/span><\/em><\/p>\n

      \n
    • \u0394\u03b9\u03ce\u03bd\u03c5\u03bc\u03bf <\/strong>\u03b1\u03bd \u03ad\u03c7\u03b5\u03b9 \u03b4\u03cd\u03bf \u03cc\u03c1\u03bf\u03c5\u03c2.<\/span><\/em> \u03a0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1 \u03b4\u03b9\u03c9\u03bd\u03cd\u03bc\u03bf\u03c5 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf \"2x+3\"<\/li>\n
    • \u03a4\u03c1\u03b9\u03ce\u03bd\u03c5\u03bc\u03bf <\/strong>\u03b1\u03bd \u03ad\u03c7\u03b5\u03b9 \u03c4\u03c1\u03b5\u03b9\u03c2 \u03cc\u03c1\u03bf\u03c5\u03c2.<\/em><\/span> \u03a0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1 \u03c4\u03c1\u03b9\u03c9\u03bd\u03cd\u03bc\u03bf\u03c5 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf \"4x^2 - 3x + 7\"<\/li>\n<\/ul>\n

      \u0391\u03bd \u03c4\u03bf \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03bf \u03ad\u03c7\u03b5\u03b9 \u03bc\u03af\u03b1 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ae, \u03b3\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1 \u00a0\u03c4\u03b7\u03bd \u00a0x, \u00a0\u03cc\u03c0\u03c9\u03c2 \u03c4\u03bf \u00a0\u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03bf \u00a0<\/p>\n

        <\/span>   <\/span>\"\[2x^2 -3x + 5\]\"<\/p>\n

      \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03c3\u03c5\u03bc\u03b2\u03bf\u03bb\u03b9\u03c3\u03c4\u03b5\u03af \u03b3\u03b9\u03b1 \u00a0\u03c3\u03c5\u03bd\u03c4\u03bf\u03bc\u03af\u03b1 \u03c9\u03c2 P(x) \u03ae Q(x) \u03ae A(x) \u03ba.\u03c4.\u03bb.<\/p>\n

      \u0394\u03b7\u03bb\u03b1\u03b4\u03ae, \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 \u03bd\u03b1 \u03c4\u03bf \u03b3\u03c1\u03ac\u03c8\u03bf\u03c5\u03bc\u03b5 \u03c9\u03c2:<\/p>\n

        <\/span>   <\/span>\"\[P(x)= 2x^2 -3x + 5\]\"<\/p>\n

      \u0392\u03b1\u03b8\u03bc\u03cc\u03c2 \u03b5\u03bd\u03cc\u03c2 \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03bf\u03c5<\/strong><\/em><\/span><\/h4>\n

      \u039f \u03b2\u03b1\u03b8\u03bc\u03cc\u03c2<\/strong> \u03b5\u03bd\u03cc\u03c2 \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03bf\u03c5 \u03c9\u03c2 \u03c0\u03c1\u03bf\u03c2 \u03bc\u03af\u03b1 \u03ae \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03b5\u03c2 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ad\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf \u03bc\u03b5\u03b3\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03bf\u03c2 \u03b1\u03c0\u03cc \u03c4\u03bf\u03c5\u03c2 \u03b2\u03b1\u03b8\u03bc\u03bf\u03cd\u03c2 \u03c4\u03c9\u03bd \u03cc\u03c1\u03c9\u03bd \u03c4\u03bf\u03c5.<\/span><\/em><\/p>\n

      \u039a\u03ac\u03b8\u03b5 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b8\u03b5\u03c9\u03c1\u03b7\u03b8\u03b5\u03af \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03bf \u03ba\u03b1\u03b9 \u03bb\u03ad\u03b3\u03b5\u03c4\u03b1\u03b9 \u03c3\u03c4\u03b1\u03b8\u03b5\u03c1\u03cc \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03bf<\/strong>. \u0395\u03b9\u03b4\u03b9\u03ba\u03ac, \u03bf \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 0 \u03bb\u03ad\u03b3\u03b5\u03c4\u03b1\u03b9 \u03bc\u03b7\u03b4\u03b5\u03bd\u03b9\u03ba\u03cc \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03bf<\/strong> \u03ba\u03b1\u03b9 \u03b4\u03b5\u03bd \u03ad\u03c7\u03b5\u03b9 \u03b2\u03b1\u03b8\u03bc\u03cc, \u03b5\u03bd\u03ce \u03ba\u03ac\u03b8\u03b5 \u03ac\u03bb\u03bb\u03bf \u03c3\u03c4\u03b1\u03b8\u03b5\u03c1\u03cc \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03bf \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b7\u03b4\u03b5\u03bd\u03b9\u03ba\u03bf\u03cd \u03b2\u03b1\u03b8\u03bc\u03bf\u03cd.<\/span><\/em><\/p>\n

      \u03a0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1:<\/strong><\/em><\/span> \u00a0\u03a4\u03bf \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03bf \"-3xy^3 + 2x^2y + 5\" \u03ad\u03c7\u03b5\u03b9:<\/p>\n

        \n
      • \u0392\u03b1\u03b8\u03bc\u03cc 2 \u03c9\u03c2 \u03c0\u03c1\u03bf\u03c2 \u03c4\u03b7 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ae x<\/em>, \u03b5\u03c0\u03b5\u03b9\u03b4\u03ae \u03bf \u03cc\u03c1\u03bf\u03c2 \u03bc\u03b5 \u03c4\u03b7 \u03bc\u03b5\u03b3\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03b7 \u03b4\u03cd\u03bd\u03b1\u03bc\u03b7 \u03c4\u03bf\u03c5 x<\/em> \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf \"2x^2\".<\/li>\n
      • \u0392\u03b1\u03b8\u03bc\u03cc 3 \u03c9\u03c2 \u03c0\u03c1\u03bf\u03c2 \u03c4\u03b7 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ae y<\/em>, \u03b5\u03c0\u03b5\u03b9\u03b4\u03ae \u03bf \u03cc\u03c1\u03bf\u03c2 \u03bc\u03b5 \u03c4\u03b7 \u03bc\u03b5\u03b3\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03b7 \u03b4\u03cd\u03bd\u03b1\u03bc\u03b7 \u03c4\u03bf\u03c5 y<\/em> \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf \"-3xy^3\".<\/li>\n
      • \u0392\u03b1\u03b8\u03bc\u03cc 4 \u03c9\u03c2 \u03c0\u03c1\u03bf\u03c2 \u03c4\u03b9\u03c2 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ad\u03c2 \"x, <em>y\"<\/em>, \u03b5\u03c0\u03b5\u03b9\u03b4\u03ae \u03bf \u03cc\u03c1\u03bf\u03c2 \u03bc\u03b5 \u03c4\u03bf \u03bc\u03b5\u03b3\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03bf \u03b2\u03b1\u03b8\u03bc\u03cc \u03c9\u03c2 \u03c0\u03c1\u03bf\u03c2 \"x\" \u03ba\u03b1\u03b9 \"y\" \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf \"-3xy^3\".<\/li>\n<\/ul>\n

         <\/p>\n

        \u0395\u03c0\u03af\u03c3\u03b7\u03c2, \u03c4\u03bf \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03bf <\/p>\n

          <\/span>   <\/span>\"\[-3xy^3 + 2x^2y + 5\]\"<\/p>\n

        \u03b5\u03af\u03bd\u03b1\u03b9 \u03b4\u03b5\u03c5\u03c4\u03ad\u03c1\u03bf\u03c5 \u03b2\u03b1\u03b8\u03bc\u03bf\u03cd \u03c9\u03c2 \u03c0\u03c1\u03bf\u03c2 \u00a0\"x\" \u03ba\u03b1\u03b9 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 \u03bd\u03b1 \u03c4\u03bf \u03b3\u03c1\u03ac\u03c8\u03bf\u03c5\u03bc\u03b5 \u03ad\u03c4\u03c3\u03b9, \u03ce\u03c3\u03c4\u03b5 \u03ba\u03ac\u03b8\u03b5 \u03cc\u03c1\u03bf\u03c2 \u03c4\u03bf\u03c5 \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b5\u03b3\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03bf\u03c5 \u03b2\u03b1\u03b8\u03bc\u03bf\u03cd \u03b1\u03c0\u03cc \u03c4\u03bf\u03bd \u03b5\u03c0\u03cc\u03bc\u03b5\u03bd\u03cc \u03c4\u03bf\u03c5 (\u03c9\u03c2 \u03c0\u03c1\u03bf\u03c2 \u00a0\"x\").<\/p>\n

        \u0394\u03b7\u03bb\u03b1\u03b4\u03ae, <\/p>\n

          <\/span>   <\/span>\"\[2x^2y -3xy^3 + 5\]\"<\/p>\n

        .<\/p>\n

        \u0393\u03b5\u03bd\u03b9\u03ba\u03cc\u03c4\u03b5\u03c1\u03b1, \u03ad\u03bd\u03b1 \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03bf \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b3\u03c1\u03b1\u03c6\u03c4\u03b5\u03af \u03bc\u03b5 \u03c4\u03ad\u03c4\u03bf\u03b9\u03bf \u03c4\u03c1\u03cc\u03c0\u03bf \u03ce\u03c3\u03c4\u03b5 \u03bf\u03b9 \u03cc\u03c1\u03bf\u03b9 \u03c4\u03bf\u03c5 \u03bd\u03b1 \u03c4\u03b1\u03be\u03b9\u03bd\u03bf\u03bc\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9 \u03ba\u03b1\u03c4\u03ac \u03c6\u03b8\u03af\u03bd\u03bf\u03c5\u03c3\u03b1 \u03c3\u03b5\u03b9\u03c1\u03ac \u03b2\u03b1\u03b8\u03bc\u03ce\u03bd \u03c9\u03c2 \u03c0\u03c1\u03bf\u03c2 \u03bc\u03af\u03b1 \u03c3\u03c5\u03b3\u03ba\u03b5\u03ba\u03c1\u03b9\u03bc\u03ad\u03bd\u03b7 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ae. \u03a4\u03cc\u03c4\u03b5, \u03bb\u03ad\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03b3\u03c1\u03ac\u03c6\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03bf \u03ba\u03b1\u03c4\u03ac \u03c6\u03b8\u03af\u03bd\u03bf\u03c5\u03c3\u03b1 \u03c3\u03b5\u03b9\u03c1\u03ac \u03b4\u03c5\u03bd\u03ac\u03bc\u03b5\u03c9\u03bd \u03b1\u03c5\u03c4\u03ae\u03c2 \u03c4\u03b7\u03c2 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ae\u03c2.<\/strong><\/em><\/span><\/p>\n

        \n

        <\/i> \u039c\u03b5\u03b8\u03bf\u03b4\u03bf\u03bb\u03bf\u03b3\u03af\u03b1<\/i><\/b><\/i><\/b><\/span><\/p>\n

        \u03a4\u03b1\u03be\u03b9\u03bd\u03cc\u03bc\u03b7\u03c3\u03b7 \u03a0\u03bf\u03bb\u03c5\u03c9\u03bd\u03cd\u03bc\u03bf\u03c5 \u03ba\u03b1\u03c4\u03ac \u03c4\u03b9\u03c2\u00a0<\/strong>\u03c6\u03b8\u03af\u03bd\u03bf\u03c5\u03c3\u03b5\u03c2 \u03b4\u03c5\u03bd\u03ac\u03bc\u03b5\u03b9\u03c2<\/strong> \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ae\u03c2<\/strong><\/p>\n

        \u0386\u03c3\u03ba\u03b7\u03c3\u03b7 1:<\/span>\u00a0<\/strong><\/p>\n

        \u039d\u03b1 \u03b3\u03c1\u03b1\u03c6\u03b5\u03af \u03c4\u03bf \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03bf \u00a0\"P(x) = 4x^2 - 8x + \alpha x^3 - 5\", \u03bc\u03b5 \"\alpha\" \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc, \u00a0 \u03ba\u03b1\u03c4\u03ac \u03c4\u03b9\u03c2 \u03c6\u03b8\u03af\u03bd\u03bf\u03c5\u03c3\u03b5\u03c2 \u03b4\u03c5\u03bd\u03ac\u03bc\u03b5\u03b9\u03c2 \u03c4\u03bf\u03c5 \"x\" \u03ba\u03b1\u03b9 \u03bd\u03b1 \u03b2\u03c1\u03b5\u03b8\u03b5\u03af \u03bf \u03b2\u03b1\u03b8\u03bc\u03cc\u03c2 \u03c4\u03bf\u03c5.<\/p>\n

          \n
        • \u0392\u03ae\u03bc\u03b1 1:<\/strong> \u03a4\u03b1\u03ba\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 \u03ba\u03b1\u03c4\u03ac \u03c4\u03b9\u03c2 \u03a6\u03b8\u03af\u03bd\u03bf\u03c5\u03c3\u03b5\u03c2 \u0394\u03c5\u03bd\u03ac\u03bc\u03b5\u03b9\u03c2<\/li>\n<\/ul>\n

          \u0393\u03b9\u03b1 \u03bd\u03b1 \u03b3\u03c1\u03ac\u03c8\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03bf \u03ba\u03b1\u03c4\u03ac \u03c6\u03b8\u03af\u03bd\u03bf\u03c5\u03c3\u03b1 \u03c3\u03b5\u03b9\u03c1\u03ac \u03c4\u03c9\u03bd \u03b4\u03c5\u03bd\u03ac\u03bc\u03b5\u03c9\u03bd \u03c4\u03bf\u03c5 \"x\", \u03c4\u03bf\u03c0\u03bf\u03b8\u03b5\u03c4\u03bf\u03cd\u03bc\u03b5 \u03c0\u03c1\u03ce\u03c4\u03b1 \u03c4\u03bf\u03bd \u03cc\u03c1\u03bf \u03bc\u03b5 \u03c4\u03bf\u03bd \u03bc\u03b5\u03b3\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03bf \u03b5\u03ba\u03b8\u03ad\u03c4\u03b7 \u03c4\u03bf\u03c5 \"x\" \u03ba\u03b1\u03b9 \u03c3\u03c5\u03bd\u03b5\u03c7\u03af\u03b6\u03bf\u03c5\u03bc\u03b5 \u03c0\u03c1\u03bf\u03c2 \u03c4\u03b1 \u03ba\u03ac\u03c4\u03c9. \u03a4\u03bf \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03bf \u03bc\u03b1\u03c2 \u03ad\u03c7\u03b5\u03b9 \u03c4\u03bf\u03c5\u03c2 \u03cc\u03c1\u03bf\u03c5\u03c2:<\/p>\n

            \n
          • \n
              \n
            • \"\alpha x^3\"<\/li>\n
            • \"4x^2\"<\/li>\n
            • \"-8x\"<\/li>\n
            • \"-5\"<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n

              \u0386\u03c1\u03b1, \u03c4\u03bf \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03bf \u03ba\u03b1\u03c4\u03ac \u03c6\u03b8\u03af\u03bd\u03bf\u03c5\u03c3\u03b1 \u03c3\u03b5\u03b9\u03c1\u03ac \u03b4\u03c5\u03bd\u03ac\u03bc\u03b5\u03c9\u03bd \u03c4\u03bf\u03c5 \"x\" \u03b5\u03af\u03bd\u03b1\u03b9:<\/p>\n

              \"P(x) = \alpha x^3 + 4x^2 - 8x - 5\"<\/p>\n

                \n
              • \u0392\u03ae\u03bc\u03b1 2:<\/strong> \u0395\u03cd\u03c1\u03b5\u03c3\u03b7 \u0392\u03b1\u03b8\u03bc\u03bf\u03cd<\/li>\n<\/ul>\n

                \u039f \u03b2\u03b1\u03b8\u03bc\u03cc\u03c2 \u03b5\u03bd\u03cc\u03c2 \u03c0\u03bf\u03bb\u03c5\u03c9\u03bd\u03cd\u03bc\u03bf\u03c5 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf \u03bc\u03b5\u03b3\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03bf\u03c2 \u03b5\u03ba\u03b8\u03ad\u03c4\u03b7\u03c2 \u03c4\u03bf\u03c5 \"x\" \u03c3\u03c4\u03bf\u03c5\u03c2 \u03cc\u03c1\u03bf\u03c5\u03c2 \u03c4\u03bf\u03c5.<\/p>\n

                \u03a3\u03c4\u03bf \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03bf \"P(x) = \alpha x^3 + 4x^2 - 8x - 5\", \u03bf \u03cc\u03c1\u03bf\u03c2 \u03bc\u03b5 \u03c4\u03bf\u03bd \u03bc\u03b5\u03b3\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03bf \u03b5\u03ba\u03b8\u03ad\u03c4\u03b7 \u03c4\u03bf\u03c5 \"x\" \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf \"\alpha x^3\", \u03b1\u03bd \"\alpha neq 0\". \u0386\u03c1\u03b1, \u03bf \u03b2\u03b1\u03b8\u03bc\u03cc\u03c2 \u03c4\u03bf\u03c5 \u03c0\u03bf\u03bb\u03c5\u03c9\u03bd\u03cd\u03bc\u03bf\u03c5 \u03b5\u03af\u03bd\u03b1\u03b9 3.<\/p>\n

                \u00a0\u0391\u03bd \"\alpha= 0\", \u03c4\u03bf \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03bf \u03b3\u03af\u03bd\u03b5\u03c4\u03b1\u03b9: ( P(x) = \u00a04x^2 – 8x – 5 \\) \u03ba\u03b1\u03b9 \u03bf \u03cc\u03c1\u03bf\u03c2 \u03bc\u03b5 \u03c4\u03bf\u03bd \u03bc\u03b5\u03b3\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03bf \u03b5\u03ba\u03b8\u03ad\u03c4\u03b7 \u03c4\u03bf\u03c5 \"x\" \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf \"4x^2\", \u0386\u03c1\u03b1, \u03bf \u03b2\u03b1\u03b8\u03bc\u03cc\u03c2 \u03c4\u03bf\u03c5 \u03c0\u03bf\u03bb\u03c5\u03c9\u03bd\u03cd\u03bc\u03bf\u03c5 \u03b5\u03af\u03bd\u03b1\u03b9 2.<\/p>\n

                 <\/p>\n

                \u0386\u03c3\u03ba\u03b7\u03c3\u03b7 1.<\/strong><\/div>\n
                \u0393\u03b9\u03b1 \u03ba\u03ac\u03b8\u03b5 \u03ad\u03bd\u03b1 \u03b1\u03c0\u03cc \u03c4\u03b1 \u03c0\u03b1\u03c1\u03b1\u03ba\u03ac\u03c4\u03c9 \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03b1, \u03b3\u03c1\u03ac\u03c8\u03c4\u03b5 \u03c4\u03bf \u03ba\u03b1\u03c4\u03ac \u03c4\u03b9\u03c2 \u03c6\u03b8\u03af\u03bd\u03bf\u03c5\u03c3\u03b5\u03c2 \u03b4\u03c5\u03bd\u03ac\u03bc\u03b5\u03b9\u03c2 \u03c4\u03bf\u03c5 \u00a0x .<\/div>\n
                \u03b1.<\/strong> \u00a0\"P(x) = 2x + 5x^3 - 3\"<\/div>\n
                \u03b2.<\/strong> \"Q(x) = -4x^2 + 7 - x^4 + 6x\"<\/div>\n
                \u03b3.<\/strong> \u00a0\"-3xy^2 + 2x^3 - 5x^2 + 6\"<\/div>\n
                \u03b4.<\/strong> \u00a0\"x^2y + 4x^3 - 2x + y\"<\/div>\n
                \u03b5.<\/strong> \u00a0\"7 - x^3 + 4x - 2x^2\"<\/div>\n

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

                \u039d\u03b1 \u03b3\u03c1\u03b1\u03c6\u03b5\u03af \u03c4\u03bf \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03bf \"Q(x) = 3x^2 - 7x + (\alpha+2)x^4 + 6\", \u03bc\u03b5 \"\alpha\" \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc, \u03ba\u03b1\u03c4\u03ac \u03c4\u03b9\u03c2 \u03c6\u03b8\u03af\u03bd\u03bf\u03c5\u03c3\u03b5\u03c2 \u03b4\u03c5\u03bd\u03ac\u03bc\u03b5\u03b9\u03c2 \u03c4\u03bf\u03c5 \"x\" \u03ba\u03b1\u03b9 \u03bd\u03b1 \u03b2\u03c1\u03b5\u03b8\u03b5\u03af \u03bf \u03b2\u03b1\u03b8\u03bc\u03cc\u03c2 \u03c4\u03bf\u03c5.<\/p>\n","protected":false},"excerpt":{"rendered":"

                \u03a3\u03b7\u03bc\u03b5\u03b9\u03ce\u03c3\u03b5\u03b9\u03c2 \u0398\u03b5\u03c9\u03c1\u03af\u03b1\u03c2 \u03a3\u03c4\u03b7\u03bd \u03c0\u03c1\u03bf\u03b7\u03b3\u03bf\u03cd\u03bc\u03b5\u03bd\u03b7 \u03b5\u03bd\u03cc\u03c4\u03b7\u03c4\u03b1 \u03b5\u03af\u03b4\u03b1\u03bc\u03b5, \u03cc\u03c4\u03b9 \u03c4\u03bf \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03bc\u03b1 \u03bf\u03bc\u03bf\u03af\u03c9\u03bd \u03bc\u03bf\u03bd\u03c9\u03bd\u03cd\u03bc\u03c9\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03bf\u03bd\u03ce\u03bd\u03c5\u03bc\u03bf \u03cc\u03bc\u03bf\u03b9\u03bf \u03bc\u03b5 \u03b1\u03c5\u03c4\u03ac. \u0391\u03bd \u03b4\u03cd\u03bf \u03c4\u03bf\u03c5\u03bb\u03ac\u03c7\u03b9\u03c3\u03c4\u03bf\u03bd \u03bc\u03bf\u03bd\u03ce\u03bd\u03c5\u03bc\u03b1 \u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03cc\u03bc\u03bf\u03b9\u03b1, \u03c4\u03cc\u03c4\u03b5 \u03c4\u03bf \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03bc\u03ac \u03c4\u03bf\u03c5\u03c2 \u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03bf\u03bd\u03ce\u03bd\u03c5\u03bc\u03bf, \u03b1\u03bb\u03bb\u03ac \u03bc\u03b9\u03b1 \u03b1\u03bb\u03b3\u03b5\u03b2\u03c1\u03b9\u03ba\u03ae \u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03c0\u03bf\u03c5 \u03bb\u03ad\u03b3\u03b5\u03c4\u03b1\u03b9 \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03bf. \u0393\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1, \u03b7 \u03b1\u03bb\u03b3\u03b5\u03b2\u03c1\u03b9\u03ba\u03ae \u00a0\u03b7 \u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03bf \u03c9\u03c2 \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03bc\u03b1 \u03bc\u03b7 \u03cc\u03bc\u03bf\u03b9\u03c9\u03bd \u03bc\u03bf\u03bd\u03c9\u03bd\u03cd\u03bc\u03c9\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-1787","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":"\n1.3 \u03a0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03b1 - 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