Roboguru

Diketahui polinomial  dan . Jika  dan  bernilai sama untuk , tentukan:  a. nilai .

Pertanyaan

Diketahui polinomial begin mathsize 14px style p left parenthesis x right parenthesis equals 2 x cubed minus 5 x squared minus x plus 3 end style dan
begin mathsize 14px style q left parenthesis x right parenthesis equals 4 x squared minus 2 x plus straight a end style. Jika begin mathsize 14px style p left parenthesis x right parenthesis end style dan begin mathsize 14px style q left parenthesis x right parenthesis end style bernilai sama untuk begin mathsize 14px style x equals negative 2 end style, tentukan: 
a. nilai begin mathsize 14px style a end style.

  1. ...undefined  

  2. ...space  

Pembahasan Video:

Pembahasan Soal:

Diketahui size 14px p begin mathsize 14px style left parenthesis x right parenthesis end style size 14px equals size 14px 2 size 14px x to the power of size 14px 3 size 14px minus size 14px 5 size 14px x to the power of size 14px 2 size 14px minus size 14px x size 14px plus size 14px 3 size 14px comma size 14px space size 14px q begin mathsize 14px style left parenthesis x right parenthesis end style size 14px equals size 14px 4 size 14px x to the power of size 14px 2 size 14px minus size 14px 2 size 14px x size 14px plus size 14px a, dan begin mathsize 14px style p open parentheses negative 2 close parentheses equals q open parentheses negative 2 close parentheses end style, maka:

begin mathsize 14px style space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space p open parentheses negative 2 close parentheses equals q open parentheses negative 2 close parentheses 2 open parentheses negative 2 close parentheses cubed minus 5 open parentheses negative 2 close parentheses squared minus open parentheses negative 2 close parentheses plus 3 equals 4 open parentheses negative 2 close parentheses squared minus 2 open parentheses negative 2 close parentheses plus a space space space space space space 2 left parenthesis negative 8 right parenthesis minus 5 left parenthesis 4 right parenthesis minus left parenthesis negative 2 right parenthesis plus 3 equals 4 left parenthesis 4 right parenthesis minus 2 left parenthesis negative 2 right parenthesis plus a space space space space space space space space space space space space space space space space space minus 16 minus 20 plus 2 plus 3 equals 16 plus 4 plus a space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space minus 31 equals 20 plus a space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space 20 plus a equals negative 31 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space a equals negative 31 minus 20 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space a equals negative 51 end style  

Jadi, jawaban yang benar adalah begin mathsize 14px style bold italic a bold equals bold minus bold 51 end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 12 April 2021

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