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Diketahui polinomial dan . Jika polinomial , nilai  adalah

Pertanyaan

Diketahui polinomial begin mathsize 14px style f left parenthesis x right parenthesis equals x to the power of 4 minus 2 x cubed plus 3 x squared minus 7 space end styledan begin mathsize 14px style g left parenthesis x right parenthesis equals x to the power of 4 minus x cubed minus 2 x squared plus 3 x minus 5 end style. Jika polinomial begin mathsize 14px style h left parenthesis x right parenthesis equals f left parenthesis x right parenthesis g left parenthesis x right parenthesis end style, nilai begin mathsize 14px style h left parenthesis 2 right parenthesis end style adalah

  1. begin mathsize 14px style 12 end style 

  2. begin mathsize 14px style 8 end style 

  3. begin mathsize 14px style 6 end style 

  4. begin mathsize 14px style 5 end style 

  5. begin mathsize 14px style 4 end style 

Pembahasan Video:

Pembahasan Soal:

Diketahui polinomial begin mathsize 14px style f left parenthesis x right parenthesis equals x to the power of 4 minus 2 x cubed plus 3 x squared minus 7 space end styledan begin mathsize 14px style g left parenthesis x right parenthesis equals x to the power of 4 minus x cubed minus 2 x squared plus 3 x minus 5 end style

begin mathsize 14px style h left parenthesis x right parenthesis equals f left parenthesis x right parenthesis g left parenthesis x right parenthesis end style
Maka 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell h left parenthesis x right parenthesis end cell equals cell open parentheses x to the power of 4 minus 2 x cubed plus 3 x squared minus 7 close parentheses open parentheses x to the power of 4 minus x cubed minus 2 x squared plus 3 x minus 5 close parentheses end cell row cell h left parenthesis 2 right parenthesis end cell equals cell open parentheses 2 to the power of 4 minus 2 times 2 cubed plus 3 times 2 squared minus 7 close parentheses open parentheses 2 to the power of 4 minus 2 cubed minus 2 times 2 squared plus 3 times 2 minus 5 close parentheses end cell row blank equals cell open parentheses 16 minus 16 plus 12 minus 7 close parentheses open parentheses 16 minus 8 minus 8 plus 6 minus 5 close parentheses end cell row blank equals cell 5 times 1 end cell row blank equals 5 end table end style 

Diperoleh nilai begin mathsize 14px style h left parenthesis 2 right parenthesis equals 5 end style 

Jadi, Jawaban yang tepat adalah D.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 12 April 2021

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