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Diketahui polinomial f ( x ) = x 2 − 3 dan g ( x ) = x 3 − 4 x 2 − 5 x + 2 . Jika h ( x ) = 3 f ( x ) − f ( x ) ⋅ g ( x ) , tentukan derajat polinomial h ( x ) .

Diketahui polinomial  dan . Jika , tentukan derajat polinomial .

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A. Damanhuri

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Polinomial dan Maka Karena , pangkat tertinggi adalah 5. Maka polinomial berderajat 5.

Polinomial begin mathsize 14px style f left parenthesis x right parenthesis equals x squared minus 3 end style dan begin mathsize 14px style g left parenthesis x right parenthesis equals x cubed minus 4 x squared minus 5 x plus 2 end style

begin mathsize 14px style h left parenthesis x right parenthesis equals 3 f left parenthesis x right parenthesis minus f left parenthesis x right parenthesis times 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 3 times left parenthesis x squared minus 3 right parenthesis minus left parenthesis x squared minus 3 right parenthesis times left parenthesis x cubed minus 4 x squared minus 5 x plus 2 right parenthesis end cell row blank equals cell 3 x squared minus 9 minus x squared times left parenthesis x cubed minus 4 x squared minus 5 x plus 2 right parenthesis plus 3 times left parenthesis x cubed minus 4 x squared minus 5 x plus 2 right parenthesis end cell row blank equals cell 3 x squared minus 9 minus x to the power of 5 plus 4 x to the power of 4 plus 5 x cubed minus 2 x squared plus 3 x cubed minus 12 x squared minus 15 x plus 6 end cell row blank equals cell negative x to the power of 5 plus 4 x to the power of 4 plus 8 x cubed minus 11 x squared minus 15 x minus 3 end cell end table end style 

Karena Error converting from MathML to accessible text. , pangkat tertinggi begin mathsize 14px style x end style adalah 5. Maka polinomial begin mathsize 14px style h left parenthesis x right parenthesis end style berderajat 5.

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Diberikan polynomial A ( x ) B ( x ) C ( x ) ​ = = = ​ x 2 − 3 x + 2 , x 3 − 2 , x 3 − 4 x 2 + 5 x . ​ Tentukan : b. [ C ( x ) − B ( x ) ] [ A ( x ) + C ( x ) ] serta derajatnya

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