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Diketahui polinomial . Jika sisa pembagian  oleh  adalah , tentukan nilai .

Pertanyaan

Diketahui polinomial begin mathsize 14px style p left parenthesis x right parenthesis equals x to the power of 4 plus 2 x cubed minus 6 x squared plus n x plus 8 end style. Jika sisa pembagian begin mathsize 14px style p left parenthesis x right parenthesis end style oleh begin mathsize 14px style left parenthesis x plus 3 right parenthesis end style adalah undefined, tentukan nilai begin mathsize 14px style n end style.

  1. ...undefined 

  2. ...space 

Pembahasan Video:

Pembahasan Soal:

Ingat kembali ya, jika polinomial begin mathsize 14px style p left parenthesis x right parenthesis end style dibagi begin mathsize 14px style left parenthesis x minus k right parenthesis end style bersisa begin mathsize 14px style s end style, maka diperoleh hubungan begin mathsize 14px style p open parentheses k close parentheses equals s end style.

Sisa pembagian polinomial begin mathsize 14px style p left parenthesis x right parenthesis equals x to the power of 4 plus 2 x cubed minus 6 x squared plus n x plus 8 end style oleh begin mathsize 14px style left parenthesis x plus 3 right parenthesis end style adalah undefined, maka begin mathsize 14px style p left parenthesis negative 3 right parenthesis equals 5 end style.

table attributes columnalign right center left columnspacing 0px end attributes row cell size 14px p size 14px left parenthesis size 14px minus size 14px 3 size 14px right parenthesis end cell size 14px equals size 14px 5 row cell begin mathsize 14px style left parenthesis negative 3 right parenthesis end style to the power of size 14px 4 size 14px plus size 14px 2 size 14px times begin mathsize 14px style left parenthesis negative 3 right parenthesis end style to the power of size 14px 3 size 14px minus size 14px 6 size 14px times begin mathsize 14px style left parenthesis negative 3 right parenthesis end style to the power of size 14px 2 size 14px plus size 14px n begin mathsize 14px style left parenthesis negative 3 right parenthesis end style size 14px plus size 14px 8 end cell size 14px equals size 14px 5 row cell size 14px 81 size 14px minus size 14px 54 size 14px minus size 14px 54 size 14px minus size 14px 3 size 14px n size 14px plus size 14px 8 end cell size 14px equals size 14px 5 row cell size 14px minus size 14px 3 size 14px n end cell size 14px equals cell size 14px 5 size 14px plus size 14px 19 end cell row size 14px n size 14px equals cell fraction numerator size 14px 24 over denominator size 14px minus size 14px 3 end fraction end cell row size 14px n size 14px equals cell size 14px minus size 14px 8 end cell end table 

Jadi, nilai begin mathsize 14px style n equals negative 8 end style 

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 12 April 2021

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