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Polinomial habis dibagi dan . Nilai adalah ...

Polinomial begin mathsize 14px style p left parenthesis x right parenthesis equals x to the power of 4 plus m x cubed plus 5 x squared plus n x minus 12 end style habis dibagi undefined dan begin mathsize 14px style left parenthesis x minus 4 right parenthesis end style. Nilai begin mathsize 14px style 2 m plus n end style adalah ... 

  1. undefined 

  2. begin mathsize 14px style negative 5 end style 

  3. begin mathsize 14px style negative 6 end style  

  4. begin mathsize 14px style negative 9 end style 

  5. begin mathsize 14px style negative 11 end style 

Jawaban:

Ingat: Jika polinomial undefined habis dibagi begin mathsize 14px style left parenthesis straight x minus straight a right parenthesis end style adalah begin mathsize 14px style straight s equals straight p left parenthesis straight a right parenthesis equals 0 end style
Polinomial begin mathsize 14px style x to the power of 4 plus m x cubed plus 5 x squared plus n x minus 12 end style habis dibagi begin mathsize 14px style x plus 1 end style dan begin mathsize 14px style x minus 4 end style maka begin mathsize 14px style straight s equals straight p left parenthesis negative 1 right parenthesis equals p left parenthesis 4 right parenthesis equals 0 end style 

Error converting from MathML to accessible text. 

Substitusi pers (1) ke pers (2)

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 16 straight m space plus left parenthesis negative 6 minus straight m right parenthesis end cell equals cell negative 81 end cell row cell 15 straight m end cell equals cell negative 81 plus 6 end cell row straight m equals cell fraction numerator negative 75 over denominator 15 end fraction end cell row straight m equals cell negative 5 end cell row cell maka space straight n end cell equals cell negative 6 minus left parenthesis negative 5 right parenthesis minus 1 end cell end table end style

Sehingga begin mathsize 14px style 2 m plus n equals 2 times negative 5 plus open parentheses negative 1 close parentheses equals negative 11 end style

Jadi, Jawaban yang tepat adalah E.

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