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Jika nilai dan , sisa pembagian polinomial  oleh  adalah ...

Pertanyaan

Jika nilai begin mathsize 14px style p left parenthesis 3 right parenthesis equals 5 space end styledan begin mathsize 14px style p left parenthesis negative 1 right parenthesis equals negative 3 end style, sisa pembagian polinomial begin mathsize 14px style p left parenthesis x right parenthesis end style oleh begin mathsize 14px style left parenthesis x squared minus 2 x minus 3 right parenthesis end style adalah ... 

  1. begin mathsize 14px style 2 x plus 1 end style 

  2. begin mathsize 14px style 2 x minus 1 end style 

  3. begin mathsize 14px style 3 x plus 1 end style  

  4. undefined  

  5. begin mathsize 14px style 4 x minus 1 end style 

Pembahasan Video:

Pembahasan Soal:

Ingat: size 14px f size 14px left parenthesis size 14px x size 14px right parenthesis size 14px equals size 14px p size 14px left parenthesis size 14px x size 14px right parenthesis size 14px times size 14px h begin mathsize 14px style left parenthesis x right parenthesis end style size 14px plus size 14px s size 14px left parenthesis size 14px x size 14px right parenthesis.

Polinomial begin mathsize 14px style f left parenthesis x right parenthesis end style dibagi begin mathsize 14px style x squared minus 2 x minus 3 end style bersisa begin mathsize 14px style a x plus b end style
Maka polinomial tersebut dapat didefinisikan :

size 14px f size 14px left parenthesis size 14px x size 14px right parenthesis size 14px equals size 14px left parenthesis size 14px x to the power of size 14px 2 size 14px minus size 14px 2 size 14px x size 14px minus size 14px 3 size 14px right parenthesis size 14px times size 14px h size 14px left parenthesis size 14px x size 14px right parenthesis size 14px plus size 14px left parenthesis size 14px a size 14px x size 14px plus size 14px b size 14px right parenthesis

Untuk begin mathsize 14px style f left parenthesis 3 right parenthesis equals 5 end style

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f left parenthesis 3 right parenthesis end cell equals 5 row cell open parentheses 3 squared minus 2 times 3 minus 3 close parentheses times h open parentheses 3 close parentheses plus open parentheses a times 3 plus b close parentheses end cell equals 5 row cell 0 plus 3 a plus b end cell equals 5 row b equals cell 5 minus 3 a space horizontal ellipsis space pers left parenthesis 1 right parenthesis end cell end table end style

Untuk begin mathsize 14px style f left parenthesis negative 1 right parenthesis equals 3 end style

table attributes columnalign right center left columnspacing 0px end attributes row cell size 14px f size 14px left parenthesis size 14px minus size 14px 1 size 14px right parenthesis end cell size 14px equals cell size 14px minus size 14px 3 end cell row cell begin mathsize 14px style left parenthesis open parentheses negative 1 close parentheses squared minus 2 times open parentheses negative 1 close parentheses minus 3 right parenthesis end style size 14px times size 14px h begin mathsize 14px style left parenthesis negative 1 right parenthesis end style size 14px plus begin mathsize 14px style left parenthesis a times open parentheses negative 1 close parentheses plus b right parenthesis end style end cell size 14px equals cell size 14px minus size 14px 3 end cell row cell size 14px 0 size 14px minus size 14px a size 14px plus size 14px b end cell size 14px equals cell size 14px minus size 14px 3 end cell row cell size 14px minus size 14px a size 14px plus size 14px b end cell size 14px equals cell size 14px minus size 14px 3 size 14px space size 14px space size 14px horizontal ellipsis size 14px space size 14px pers size 14px left parenthesis size 14px 2 size 14px right parenthesis end cell end table 

Substitusi pers (1) ke pers (2)

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell negative a plus 5 minus 3 a end cell equals cell negative 3 end cell row cell negative 4 a end cell equals cell negative 8 end cell row a equals 2 row cell maka space straight b end cell equals cell space 5 minus 3 times 2 end cell row blank equals cell negative 1 end cell end table end style

Sisa pembagian undefined oleh undefined adalah begin mathsize 14px style a x plus b equals 2 x minus 1 end style

Jadi, Jawaban yang tepat adalah B

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 12 April 2021

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