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Diketahui polinomial p ( x ) = 2 x 3 − 5 x 2 − x + 3 dan q ( x ) = 4 x 2 − 2 x + a . Jika p ( x ) dan q ( x ) bernilai sama untuk x = − 2 , tentukan nilai 4 p ( 3 ) + q ( − 1 ) .

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

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Z. Apriani

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

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Diketahui Maka Jadi, .

Diketahui

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell p left parenthesis negative 2 right parenthesis end cell equals cell q left parenthesis negative 2 right parenthesis end cell row cell 2 times left parenthesis negative 2 right parenthesis cubed minus 5 left parenthesis negative 2 right parenthesis squared minus left parenthesis negative 2 right parenthesis plus 3 end cell equals cell 4 times left parenthesis negative 2 right parenthesis squared minus 2 left parenthesis negative 2 right parenthesis plus a end cell row cell 2 times left parenthesis negative 8 right parenthesis minus 5 times 4 plus 2 plus 3 end cell equals cell 16 plus 4 plus a end cell row cell negative 16 minus 20 plus 5 end cell equals cell a plus 20 end cell row cell negative 31 minus 20 end cell equals a row a equals cell negative 51 end cell end table end style 

Maka

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 4 p left parenthesis 3 right parenthesis plus q left parenthesis negative 1 right parenthesis end cell equals cell 4 left parenthesis 2 times 3 cubed minus 5 times 3 squared minus 3 plus 3 right parenthesis plus left parenthesis 4 times left parenthesis negative 1 right parenthesis squared minus 2 times left parenthesis negative 1 right parenthesis plus a right parenthesis end cell row blank equals cell 4 left parenthesis 54 minus 45 right parenthesis plus left parenthesis 4 plus 2 minus 51 right parenthesis end cell row blank equals cell 4 times 9 plus left parenthesis negative 45 right parenthesis end cell row blank equals cell 36 minus 45 end cell row blank equals cell negative 9 end cell end table end style 


Jadi, 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 4 p left parenthesis 3 right parenthesis plus q left parenthesis negative 1 right parenthesis end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 9 end table end style.

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Kevin Setiawan

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