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Jika habis dibagi dengan untuk ....

Jika begin mathsize 14px style f open parentheses x close parentheses equals 1 half x cubed minus 2 a x squared plus 2 a squared end style habis dibagi dengan begin mathsize 14px style open parentheses x minus 4 close parentheses end style untuk begin mathsize 14px style a space equals end style ....

  1. begin mathsize 14px style 8 end style 

  2. begin mathsize 14px style 4 end style 

  3. begin mathsize 14px style 2 end style 

  4. begin mathsize 14px style negative 2 end style 

  5. begin mathsize 14px style negative 4 end style 

Jawaban:

Jika begin mathsize 14px style f open parentheses x close parentheses equals 1 half x cubed minus 2 a x squared plus 2 a squared end style habis dibagi dengan begin mathsize 14px style open parentheses x minus 4 close parentheses end style berarti begin mathsize 14px style straight f open parentheses 4 close parentheses equals 0 end style.

Selanjutnya kita substitusikan 
 

begin mathsize 14px style table attributes columnalign right center left columnspacing 2px end attributes row cell straight f open parentheses straight x close parentheses end cell equals cell 1 half straight x to the power of 4 minus 2 ax squared plus 2 straight a squared end cell row cell straight f open parentheses 4 close parentheses end cell equals cell 1 half open parentheses 4 close parentheses to the power of 4 minus 2 straight a open parentheses 4 close parentheses squared plus 2 straight a squared equals 0 end cell row cell 256 over 2 minus 32 straight a plus 2 straight a squared end cell equals 0 row cell 2 straight a squared minus 32 straight a plus 128 end cell equals cell 0 space open parentheses dibagi space 2 close parentheses end cell row cell straight a squared minus 16 straight a plus 64 end cell equals 0 row cell open parentheses straight a minus 8 close parentheses squared end cell equals 0 row cell straight a minus 8 end cell equals 0 row straight a equals 8 end table end style 

 

nilai a = 8

Jadi, jawaban yang tepat adalah  A

0

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