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Diketahuipolinomial f ( x ) = x 4 − 2 x 3 + x 2 − 4 x + 5 dan g ( x ) = 2 x 3 + 3 x 2 − 5 x − 3 . Jika h ( x ) = 3 f ( x ) − 2 g ( x ) , tentukan: a. polinomial h ( x ) ;

Diketahui polinomial   dan .

Jika , tentukan:

a. polinomial ;

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polinomial adalah .

polinomial begin mathsize 14px style h left parenthesis x right parenthesis end style adalah begin mathsize 14px style 3 x to the power of 4 minus 10 x cubed minus 3 x squared minus 2 x plus 21 end style.

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Diketahui .Oleh karena itu, didapat persamaan sebagai berikut. Dengan demikian, polinomial adalah .

Diketahui begin mathsize 14px style h left parenthesis x right parenthesis equals 3 f left parenthesis x right parenthesis minus 2 g left parenthesis x right parenthesis end style. Oleh karena itu, didapat persamaan sebagai berikut.

size 14px h begin mathsize 14px style left parenthesis x right parenthesis end style size 14px equals size 14px 3 size 14px f begin mathsize 14px style left parenthesis x right parenthesis end style size 14px minus size 14px 2 size 14px g begin mathsize 14px style left parenthesis x right parenthesis end style size 14px h begin mathsize 14px style left parenthesis x right parenthesis end style size 14px equals size 14px 3 begin mathsize 14px style left parenthesis x to the power of 4 minus 2 x cubed plus x squared minus 4 x plus 5 right parenthesis end style size 14px minus size 14px 2 begin mathsize 14px style left parenthesis 2 x cubed plus 3 x squared minus 5 x minus 3 right parenthesis end style size 14px h begin mathsize 14px style left parenthesis x right parenthesis end style size 14px equals size 14px 3 size 14px x to the power of size 14px 4 size 14px minus size 14px 6 size 14px x to the power of size 14px 3 size 14px plus size 14px 3 size 14px x to the power of size 14px 2 size 14px minus size 14px 12 size 14px x size 14px plus size 14px 15 size 14px minus size 14px 4 size 14px x to the power of size 14px 3 size 14px minus size 14px 6 size 14px x to the power of size 14px 2 size 14px plus size 14px 10 size 14px x size 14px plus size 14px 6 size 14px h begin mathsize 14px style left parenthesis x right parenthesis end style size 14px equals size 14px 3 size 14px x to the power of size 14px 4 size 14px minus size 14px 6 size 14px x to the power of size 14px 3 size 14px minus size 14px 4 size 14px x to the power of size 14px 3 size 14px plus size 14px 3 size 14px x to the power of size 14px 2 size 14px minus size 14px 6 size 14px x to the power of size 14px 2 size 14px minus size 14px 12 size 14px x size 14px plus size 14px 10 size 14px x size 14px plus size 14px 15 size 14px plus size 14px 6 size 14px h begin mathsize 14px style left parenthesis x right parenthesis end style size 14px equals size 14px 3 size 14px x to the power of size 14px 4 size 14px minus size 14px 10 size 14px x to the power of size 14px 3 size 14px minus size 14px 3 size 14px x to the power of size 14px 2 size 14px minus size 14px 2 size 14px x size 14px plus size 14px 21 

Dengan demikian, polinomial begin mathsize 14px style h left parenthesis x right parenthesis end style adalah begin mathsize 14px style 3 x to the power of 4 minus 10 x cubed minus 3 x squared minus 2 x plus 21 end style.

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Diketahuipolinomial f ( x ) = x 4 − 2 x 3 + x 2 − 4 x + 5 dan g ( x ) = 2 x 3 + 3 x 2 − 5 x − 3 . Jika h ( x ) = 3 f ( x ) − 2 g ( x ) , tentukan: c. suku konstanpolinomial h ( x ) .

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