Roboguru

Tentukan nilai  jika dibagi  bersisa .

Pertanyaan

Tentukan nilai begin mathsize 14px style k end style jikabegin mathsize 14px style space x cubed minus left parenthesis 2 k minus 1 right parenthesis x squared plus 3 x plus left parenthesis 3 k minus 2 right parenthesis end style dibagi begin mathsize 14px style left parenthesis x plus 2 right parenthesis end style bersisa begin mathsize 14px style negative 7 end style.

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Pembahasan Soal:

Berdasarkan teorema sisa jika begin mathsize 14px style f left parenthesis x right parenthesis end style dibagi begin mathsize 14px style left parenthesis x minus a right parenthesis end style, maka sisanya begin mathsize 14px style f left parenthesis a right parenthesis end style.

begin mathsize 14px style f left parenthesis x right parenthesis equals space x cubed minus left parenthesis 2 k minus 1 right parenthesis x squared plus 3 x plus left parenthesis 3 k minus 2 right parenthesis end style dibagi begin mathsize 14px style left parenthesis x plus 2 right parenthesis end style sisanya begin mathsize 14px style negative 7 end style, maka begin mathsize 14px style f left parenthesis negative 2 right parenthesis equals negative 7 end style.
 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f left parenthesis negative 2 right parenthesis end cell equals cell negative 7 end cell row cell space left parenthesis negative 2 right parenthesis cubed minus left parenthesis 2 k minus 1 right parenthesis left parenthesis negative 2 right parenthesis squared plus 3 left parenthesis negative 2 right parenthesis plus left parenthesis 3 k minus 2 right parenthesis end cell equals cell negative 7 end cell row cell negative 8 minus 4 left parenthesis 2 k minus 1 right parenthesis minus 6 plus 3 k minus 2 end cell equals cell negative 7 end cell row cell negative 8 minus 8 k plus 4 minus 6 plus 3 k minus 2 end cell equals cell negative 7 end cell row cell negative 5 k minus 12 end cell equals cell negative 7 end cell row cell 5 k end cell equals cell negative 5 end cell row k equals cell negative 1 end cell end table end style
 

Dengan demikian nilai begin mathsize 14px style k end style adalah begin mathsize 14px style negative 1 end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 15 Maret 2021

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