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Diketahui polinomial f ( x ) = 2 x 5 − x 3 − 2 x + 5 dan g ( x ) = x 3 − 4 x 2 − 2 x + 6 . Jika polinomial h ( x ) = 2 f ( x ) − 3 g ( x ) , tentukan: nilai h ( − 1 )

Diketahui polinomial dan . Jika polinomial , tentukan: nilai 

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G. Albiah

Master Teacher

Mahasiswa/Alumni Universitas Galuh Ciamis

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nilai adalah .

 nilai h left parenthesis negative 1 right parenthesis adalah 3.

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Pembahasan

Diketahui, Ditanyakan, Cari dulu , Di dapatkan . Kemudian subtitusi nilai . Jadi,nilai adalah .

Diketahui,

  • f left parenthesis x right parenthesis equals 2 x to the power of 5 minus x cubed minus 2 x plus 5
  • g left parenthesis x right parenthesis equals x cubed minus 4 x squared minus 2 x plus 6

Ditanyakan,

  • h left parenthesis negative 1 right parenthesis

Cari dulu h left parenthesis x right parenthesis equals 2 f left parenthesis x right parenthesis minus 3 g left parenthesis x right parenthesis,

table attributes columnalign right center left columnspacing 0px end attributes row cell h left parenthesis x right parenthesis end cell equals cell 2 f left parenthesis x right parenthesis minus 3 g left parenthesis x right parenthesis end cell row blank equals cell 2 open parentheses 2 x to the power of 5 minus x cubed minus 2 x plus 5 close parentheses minus 3 open parentheses x cubed minus 4 x squared minus 2 x plus 6 close parentheses end cell row blank equals cell 4 x to the power of 5 minus 2 x cubed minus 4 x plus 10 minus 3 x cubed plus 12 x squared plus 6 x minus 18 end cell row blank equals cell 4 x to the power of 5 minus 2 x cubed minus 3 x cubed plus 12 x squared minus 4 x plus 6 x minus 18 plus 10 end cell row blank equals cell 4 x to the power of 5 minus 5 x cubed plus 12 x squared plus 2 x minus 8 end cell end table

Di dapatkan Error converting from MathML to accessible text.. Kemudian subtitusi nilai x equals negative 1.

table attributes columnalign right center left columnspacing 0px end attributes row cell h left parenthesis x right parenthesis end cell equals cell 4 x blank to the power of 5 minus 5 x blank cubed plus 12 x blank squared plus 2 x minus 8 end cell row cell h left parenthesis negative 1 right parenthesis end cell equals cell 4 open parentheses negative 1 close parentheses to the power of 5 minus 5 open parentheses negative 1 close parentheses cubed plus 12 open parentheses negative 1 close parentheses squared plus 2 left parenthesis negative 1 right parenthesis minus 8 end cell row blank equals cell 4 left parenthesis negative 1 right parenthesis minus 5 left parenthesis negative 1 right parenthesis plus 12 left parenthesis 1 right parenthesis minus 2 minus 8 end cell row blank equals cell negative 4 plus 5 plus 12 minus 10 end cell row blank equals cell 17 minus 14 end cell row blank equals 3 end table


Jadi, nilai h left parenthesis negative 1 right parenthesis adalah 3.

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