Roboguru

Cari semua faktor dari !

Cari semua faktor dari straight P open parentheses x close parentheses equals x cubed plus 2 x squared minus 10 x plus 8 equals 0!

Jawaban:

Akan ditentukan semua faktor dari suku banyak straight P open parentheses x close parentheses equals x cubed plus 2 x squared minus 10 x plus 8 equals 0.

Akar-akar yang mungkin adalah faktor dari 8 yaitu open curly brackets plus-or-minus 1 comma space plus-or-minus 2 comma space plus-or-minus 4 comma space plus-or-minus 8 close curly brackets.

Substitusi akar-akar yang mungkin open curly brackets plus-or-minus 1 comma space plus-or-minus 2 comma space plus-or-minus 4 comma space plus-or-minus 8 close curly brackets ke suku banyaknya

table attributes columnalign right center left columnspacing 2px end attributes row cell straight P open parentheses x close parentheses end cell equals cell x cubed plus 2 x squared minus 10 x plus 8 end cell row cell x equals 1 rightwards arrow straight P open parentheses 1 close parentheses end cell equals cell open parentheses 1 close parentheses cubed plus 2 open parentheses 1 close parentheses squared minus 10 open parentheses 1 close parentheses plus 8 end cell row cell straight P open parentheses 1 close parentheses end cell equals cell 1 plus 2 minus 10 plus 8 equals 1 end cell row cell x equals negative 1 rightwards arrow straight P open parentheses negative 1 close parentheses end cell equals cell open parentheses negative 1 close parentheses cubed plus 2 open parentheses negative 1 close parentheses squared minus 10 open parentheses negative 1 close parentheses plus 8 end cell row cell straight P open parentheses negative 1 close parentheses end cell equals cell negative 1 plus 2 plus 10 plus 8 equals 19 end cell row cell x equals 2 rightwards arrow straight P open parentheses 2 close parentheses end cell equals cell open parentheses 2 close parentheses cubed plus 2 open parentheses 2 close parentheses squared minus 10 open parentheses 2 close parentheses plus 8 end cell row cell straight P open parentheses 2 close parentheses end cell equals cell 8 plus 8 minus 20 plus 8 equals 4 end cell row cell x equals negative 2 rightwards arrow straight P open parentheses negative 2 close parentheses end cell equals cell open parentheses negative 2 close parentheses cubed plus 2 open parentheses negative 2 close parentheses squared minus 10 open parentheses negative 2 close parentheses plus 8 end cell row cell straight P open parentheses negative 2 close parentheses end cell equals cell negative 8 plus 8 plus 20 plus 8 equals 28 end cell row cell x equals 4 rightwards arrow straight P open parentheses 4 close parentheses end cell equals cell open parentheses 4 close parentheses cubed plus 2 open parentheses 4 close parentheses squared minus 10 open parentheses 4 close parentheses plus 8 end cell row cell straight P open parentheses 4 close parentheses end cell equals cell 64 plus 32 minus 40 plus 8 equals 60 end cell row cell x equals negative 4 rightwards arrow straight P open parentheses negative 4 close parentheses end cell equals cell open parentheses negative 4 close parentheses cubed plus 2 open parentheses negative 4 close parentheses squared minus 10 open parentheses negative 4 close parentheses plus 8 end cell row cell straight P open parentheses negative 4 close parentheses end cell equals cell negative 64 plus 32 plus 40 plus 8 equals 20 end cell row cell x equals 8 rightwards arrow straight P open parentheses 8 close parentheses end cell equals cell open parentheses 8 close parentheses cubed plus 2 open parentheses 8 close parentheses squared minus 10 open parentheses 8 close parentheses plus 8 end cell row cell straight P open parentheses 8 close parentheses end cell equals cell 512 plus 128 minus 80 plus 8 equals 568 end cell row cell x equals negative 8 rightwards arrow straight P open parentheses negative 8 close parentheses end cell equals cell open parentheses negative 8 close parentheses cubed plus 2 open parentheses negative 8 close parentheses squared minus 10 open parentheses negative 8 close parentheses plus 8 end cell row cell straight P open parentheses negative 8 close parentheses end cell equals cell negative 512 plus 128 plus 80 plus 8 equals 296 end cell end table

Karena tidak ada hasil yang bernilai nol dari faktor-faktor tersebut, maka tidak ada faktor dari suku banyak tersebut.

Jadi, tidak ada faktor.

0

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