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Polinomial berikut yang bernilai  untuk  adalah ....

Pertanyaan

Polinomial berikut yang bernilai begin mathsize 14px style negative 172 end style untuk begin mathsize 14px style x equals negative 4 end style adalah ....

  1. begin mathsize 14px style x cubed plus 3 x squared minus 6 x plus 8 end style  begin mathsize 14px style space space space end style 

  2. begin mathsize 14px style x cubed plus 3 x squared plus 6 x minus 8 end style  begin mathsize 14px style space space space end style

  3. begin mathsize 14px style x to the power of 4 minus x cubed plus 3 x squared minus 2 x minus 8 end style 

  4. begin mathsize 14px style x to the power of 4 plus 4 x cubed minus 10 x squared plus 6 x plus 12 end style 

  5. begin mathsize 14px style x to the power of 4 minus 2 x cubed minus 15 x squared plus 6 x minus 12 end style 

Pembahasan Soal:

Substitusikan begin mathsize 14px style x equals negative 4 end style pada setiap pilihan, diperoleh:

Pilihan A.

begin mathsize 14px style table attributes columnalign right center left columnspacing 2px end attributes row cell x cubed plus 3 x squared minus 6 x plus 8 end cell equals cell open parentheses negative 4 close parentheses cubed plus 3 open parentheses negative 4 close parentheses squared minus 6 open parentheses negative 4 close parentheses plus 8 end cell row blank equals cell negative 64 plus 48 plus 24 plus 8 end cell row blank equals 16 end table end style 

Pilihan B.

begin mathsize 14px style table attributes columnalign right center left columnspacing 2px end attributes row cell x cubed plus 3 x squared plus 6 x minus 8 end cell equals cell open parentheses negative 4 close parentheses cubed plus 3 open parentheses negative 4 close parentheses squared plus 6 open parentheses negative 4 close parentheses minus 8 end cell row blank equals cell negative 64 plus 48 minus 24 minus 8 end cell row blank equals cell negative 48 end cell end table end style 

Pilihan C.

begin mathsize 14px style table attributes columnalign right center left columnspacing 2px end attributes row cell x to the power of 4 minus x cubed plus 3 x squared minus 2 x minus 8 end cell equals cell open parentheses negative 4 close parentheses to the power of 4 minus open parentheses negative 4 close parentheses cubed plus 3 open parentheses negative 4 close parentheses squared minus 2 open parentheses negative 4 close parentheses minus 8 end cell row blank equals cell 256 plus 64 plus 48 plus 8 minus 8 end cell row blank equals 368 end table end style 

Pilihan D.

begin mathsize 14px style table attributes columnalign right center left columnspacing 2px end attributes row cell x to the power of 4 plus 4 x cubed minus 10 x squared plus 6 x plus 12 end cell equals cell open parentheses negative 4 close parentheses to the power of 4 plus 4 open parentheses negative 4 close parentheses cubed minus 10 open parentheses negative 4 close parentheses squared plus 6 open parentheses negative 4 close parentheses plus 12 end cell row blank equals cell 256 plus negative 256 minus 160 minus 24 plus 12 end cell row blank equals cell negative 172 end cell end table end style 

Pilihan E.

begin mathsize 14px style table attributes columnalign right center left columnspacing 2px end attributes row cell x to the power of 4 minus 2 x cubed minus 15 x squared plus 6 x minus 12 end cell equals cell open parentheses negative 4 close parentheses to the power of 4 minus 2 open parentheses negative 4 close parentheses cubed minus 15 open parentheses negative 4 close parentheses squared plus 6 open parentheses negative 4 close parentheses minus 12 end cell row blank equals cell 256 plus 128 minus 240 minus 24 minus 12 end cell row blank equals 108 end table end style 

Berdasarkan perhitungan di atas, polinomial yang bernilai begin mathsize 14px style negative 172 end style untuk begin mathsize 14px style x equals negative 4 end style adalah begin mathsize 14px style x to the power of 4 plus 4 x cubed minus 10 x squared plus 6 x plus 12 end style.

Jadi, jawaban yang tepat adalah D.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 12 Februari 2021

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