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Polinomial  jika dibagi  diperoleh sisa  dan jika dibagi  diperoleh sisa . Sisa pembagian polinomial  oleh  adalah ...

Pertanyaan

Polinomial undefined jika dibagi begin mathsize 14px style left parenthesis x plus 1 right parenthesis end style diperoleh sisa begin mathsize 14px style 1 end style dan jika dibagi begin mathsize 14px style left parenthesis 3 x plus 2 right parenthesis end style diperoleh sisa undefined. Sisa pembagian polinomial undefined oleh begin mathsize 14px style 3 x squared plus 5 x plus 2 end style adalah ...

  1. begin mathsize 14px style negative 9 x minus 8 end style 

  2. begin mathsize 14px style negative 9 x plus 8 end style  

  3. begin mathsize 14px style negative 9 x plus 10 end style  

  4. begin mathsize 14px style 9 x minus 10 end style 

  5. begin mathsize 14px style 9 x plus 10 end style 

Pembahasan Video:

Pembahasan Soal:

Ingat: Pada polinomial, sisa bagi = nilai fungsi

  • begin mathsize 14px style f left parenthesis x right parenthesis colon left parenthesis x space space plus space 1 right parenthesis space sisa space space 1 rightwards arrow s left parenthesis negative 1 right parenthesis equals 1 end style
  • begin mathsize 14px style f left parenthesis x right parenthesis space colon left parenthesis 3 x plus space 2 right parenthesis space sisa space minus 2 space rightwards arrow space s open parentheses fraction numerator negative 2 over denominator 3 end fraction close parentheses equals negative 2 end style
  • begin mathsize 14px style f left parenthesis x right parenthesis space colon left parenthesis 3 x ² space plus space 5 x plus space 2 right parenthesis space sisa space space straight s left parenthesis straight x right parenthesis equals a x plus b end style

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 3 x squared plus 5 x plus 2 end cell equals 0 row cell open parentheses 3 x plus 2 close parentheses open parentheses x plus 1 close parentheses end cell equals 0 end table end style
begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell right enclose negative 2 over 3 end enclose end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 1 end table end style

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight s left parenthesis straight x right parenthesis end cell equals cell a x plus b end cell row cell bullet s open parentheses negative 2 over 3 close parentheses end cell equals cell negative space 2 space left right double arrow negative 2 over 3 a plus space b equals negative 2 end cell row space left right double arrow cell b equals negative 2 plus 2 over 3 a space horizontal ellipsis space pers space left parenthesis 1 right parenthesis end cell row cell bullet s left parenthesis negative 1 right parenthesis space end cell equals cell space 1 space space space space left right double arrow space minus space a plus b equals 1 space horizontal ellipsis space pers space left parenthesis 2 right parenthesis end cell end table end style

Substitusi pers (1) ke pers (2)

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell negative a plus open parentheses negative 2 plus 2 over 3 a close parentheses end cell equals 1 row cell fraction numerator negative 3 a over denominator 3 end fraction plus fraction numerator 2 a over denominator 3 end fraction end cell equals 3 row cell fraction numerator negative a over denominator 3 end fraction end cell equals 3 row a equals cell 3 times negative 3 end cell row a equals cell negative 9 end cell row cell Maka space straight b end cell equals cell negative 2 plus 2 over 3 straight a end cell row blank equals cell negative 2 plus 2 over 3 times open parentheses negative 9 close parentheses end cell row blank equals cell negative 2 minus 6 end cell row blank equals cell negative 8 end cell end table end style

begin mathsize 14px style s open parentheses x close parentheses equals a x plus b equals negative 9 x minus 8 end style

Jadi, Jawaban yang tepat adalah A

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 12 April 2021

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