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Tentukan persamaan polinomial yang akar-akarnya adalah:

Pertanyaan

Tentukan persamaan polinomial yang akar-akarnya adalah: 

begin mathsize 14px style negative 4 comma negative 3 comma space 1 comma space dan space 2 end style 

  1. ...space  

  2. ...space 

Pembahasan Video:

Pembahasan Soal:

Persamaan polinomial akar akarnya : begin mathsize 14px style negative 4 comma negative 3 comma space 1 comma space dan space 2 end style  
Maka

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row x equals cell negative 4 left right double arrow space x plus 4 space equals 0 end cell row x equals cell negative 3 left right double arrow space x plus 3 space equals 0 end cell row x equals cell space 1 space space left right double arrow space x minus 1 space equals 0 end cell row x equals cell space 2 space space left right double arrow space x minus 2 space equals 0 end cell end table end style 

Sehingga,

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis x plus 4 right parenthesis left parenthesis x plus space 3 right parenthesis left parenthesis x minus 1 right parenthesis open parentheses x minus 2 close parentheses end cell equals 0 row cell left parenthesis x squared plus 7 x plus 12 right parenthesis left parenthesis x squared minus 3 x plus 2 right parenthesis end cell equals 0 row cell x to the power of 4 minus 3 x cubed plus 2 x squared plus 7 x cubed minus 21 x squared plus 14 x plus 12 x squared minus 36 x plus 14 end cell equals 0 row cell x to the power of 4 plus 4 x cubed minus 7 x squared minus 22 x plus 14 end cell equals 0 end table end style 

Jadi persamaan polinomialnya adalah  begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell x to the power of 4 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 4 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell x cubed end cell 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 7 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell x squared end cell 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 22 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 blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 14 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 0 end table end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 12 April 2021

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