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Jika akar-akar persamaan polinomial  adalah , nilai  adalah ....

Pertanyaan

Jika akar-akar persamaan polinomial begin mathsize 14px style x cubed minus 2 x squared minus 5 x plus 6 equals 0 end style adalah begin mathsize 14px style x subscript 1 comma space x subscript 2 comma space dan space x subscript 3 end style, nilai begin mathsize 14px style 3 x subscript 1 plus 3 x subscript 2 plus 3 x subscript 3 end style adalah ....

  1. begin mathsize 14px style 6 end style 

  2. undefined 

  3. undefined 

  4. undefined 

  5. begin mathsize 14px style negative 6 end style 

Pembahasan Video:

Pembahasan Soal:

Jika akar-akar persamaan polinomial begin mathsize 14px style x cubed minus 2 x squared minus 5 x plus 6 equals 0 end style adalah begin mathsize 14px style x subscript 1 comma space x subscript 2 comma space dan space x subscript 3 end style,

begin mathsize 14px style a equals 1 comma space b equals negative 2 comma space c equals negative 5 comma space d equals 6 end style 

nilai begin mathsize 14px style 3 x subscript 1 plus 3 x subscript 2 plus 3 x subscript 3 end style adalah

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 3 x subscript 1 plus 3 x subscript 2 plus 3 x subscript 3 end cell equals cell 3 left parenthesis x subscript 1 plus x subscript 2 plus x subscript 3 right parenthesis end cell row cell space space space space space space space space space space space space space space space space space space space space space space space space end cell equals cell 3 left parenthesis negative begin inline style b over a end style right parenthesis end cell row cell space space space space space space space space space space space space space space space space space space space space space space space space end cell equals cell 3 left parenthesis 2 right parenthesis end cell row cell space space space space space space space space space space space space space space space space space space space space space space space space end cell equals 6 end table end style

Jadi, jawaban yang paling tepat adalah A.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 12 April 2021

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