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Jika polinomial  dan  mempunyai sisa yang sama apa...

Jika polinomial begin mathsize 14px style 2 x cubed minus p x squared plus q x plus 6 end style dan begin mathsize 14px style 2 x cubed plus 3 x squared minus 4 x minus 1 end style mempunyai sisa yang sama apabila dibagi oleh begin mathsize 14px style left parenthesis x plus 1 right parenthesis end style, nilai begin mathsize 14px style p plus q end style adalah ...

  1. begin mathsize 14px style negative 2 end style 

  2. begin mathsize 14px style negative 1 end style  

  3. begin mathsize 14px style 0 end style 

  4. begin mathsize 14px style 1 end style 

  5. begin mathsize 14px style 2 end style 

Jawaban:

Ingat: sisa pembagian undefined oleh 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 end style
Sisa pembagian polinomial begin mathsize 14px style 2 x cubed minus p x squared plus q x plus 6 end style dan begin mathsize 14px style 2 x cubed plus 3 x squared minus 4 x minus 1 end style oleh begin mathsize 14px style x plus 1 end style sama atau bisa ditulis begin mathsize 14px style straight s equals straight p left parenthesis negative 1 right parenthesis equals straight q left parenthesis negative 1 right parenthesis end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight p left parenthesis x right parenthesis end cell equals cell 2 x cubed minus p x squared plus q x plus 6 end cell row cell straight q left parenthesis x right parenthesis end cell equals cell 2 straight x cubed plus 3 straight x squared minus 4 straight x minus 1 end cell row straight s equals cell straight p left parenthesis negative 1 right parenthesis equals straight q left parenthesis negative 1 right parenthesis end cell row cell 2 times open parentheses negative 1 close parentheses cubed minus p times open parentheses negative 1 close parentheses squared plus q times open parentheses negative 1 close parentheses plus 6 end cell equals cell 2 times open parentheses negative 1 close parentheses cubed plus 3 times open parentheses negative 1 close parentheses squared minus 4 times open parentheses negative 1 close parentheses minus 1 end cell row cell negative 2 minus p minus q plus 6 end cell equals cell negative 2 plus 3 plus 4 minus 1 end cell row cell negative p minus q plus 4 end cell equals cell equals 4 end cell row cell negative p minus q end cell equals cell 4 minus 4 end cell row cell p plus q end cell equals cell fraction numerator 0 over denominator negative 1 end fraction end cell row cell p plus q end cell equals 0 end table end style  

Jadi, Jawaban yang tepat adalah C.

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