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Pertanyaan

Suku banyak  begin mathsize 14px style 2 x cubed plus a x squared plus 8 x plus b end style dibagi oleh faktor begin mathsize 14px style x squared plus x plus 1 end style bersisa begin mathsize 14px style 5 x minus 2 end style, maka hasil baginya .... 

  1. undefined  

  2. begin mathsize 14px style 2 x plus 1 end style   

  3. begin mathsize 14px style 2 x plus 2 end style  

  4. begin mathsize 14px style x plus 1 end style  

  5. x minus 1  

R. Novianto

Master Teacher

Mahasiswa/Alumni Universitas Tanjungpura Pontianak

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B

Pembahasan

Suku banyak  begin mathsize 14px style 2 x cubed plus a x squared plus 8 x plus b end style dibagi oleh faktor begin mathsize 14px style x squared plus x plus 1 end style, dengan metode bersusun 

begin mathsize 14px style long division by straight x squared plus straight x plus 1 yields table row cell 2 straight x plus straight a minus 2 end cell blank end table pile table row cell 2 straight x squared plus ax squared plus 8 straight x plus straight b end cell blank end table table row cell table row cell 2 straight x cubed plus 2 straight x squared end cell cell plus 2 straight x end cell blank blank end table end cell blank end table end pile end long division space space space space space space space space space space space space space space space space space space space space ________________ space minus space space space space space space space space space space space space space space space space space space space space space space open parentheses straight a minus 2 close parentheses straight x squared plus 6 straight x plus straight b space space space space space space space space space space space space space space space space space space space space space space open parentheses straight a minus 2 close parentheses straight x squared plus open parentheses straight a minus 2 close parentheses straight x plus open parentheses straight a minus 2 close parentheses space space space space space space space space space space space space space space space space space space space ______________________ space minus space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space open parentheses 6 minus open parentheses straight a minus 2 close parentheses close parentheses straight x plus open parentheses straight b minus open parentheses straight a minus 2 close parentheses close parentheses end style 

bersisa begin mathsize 14px style 5 x minus 2 end style, maka :

begin mathsize 14px style table attributes columnalign right center left columnspacing 2px end attributes row cell open parentheses 6 minus open parentheses straight a minus 2 close parentheses straight x close parentheses plus open parentheses straight b minus open parentheses straight a minus 2 close parentheses close parentheses end cell equals cell 5 straight x minus 2 end cell row blank blank blank row cell rightwards double arrow open parentheses 8 minus straight a close parentheses straight x end cell equals cell 5 straight x end cell row cell 8 minus straight a end cell equals 5 row straight a equals cell 8 minus 5 end cell row straight a equals 3 row blank blank blank row cell straight b minus open parentheses straight a minus 2 close parentheses end cell equals cell negative 2 end cell row cell straight b minus open parentheses 3 minus 2 close parentheses end cell equals cell negative 2 end cell row cell straight b minus 1 end cell equals cell negative 2 end cell row straight b equals cell negative 1 end cell end table end style 

Kemudian kita substitusikan nilai a = 3 ke dalam hasil bagi tadi

begin mathsize 14px style table attributes columnalign right center left columnspacing 2px end attributes row cell 2 straight x plus straight a minus 2 end cell equals cell 2 straight x plus 3 minus 2 end cell row blank equals cell 2 straight x plus 1 end cell end table end style 

Sehingga hasil baginya adalah begin mathsize 14px style 2 x plus 1 end style 

Jadi, jawaban yang tepat adalah B

21

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