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Pertanyaan

Diketahui polinomial f ( x ) = 2 x 3 + 5 x 2 − 1 , g ( x ) = 2 x 2 + 5 , dan h ( x ) = 3 x . Tentukan operasi berikut e. f ( x ) × [ g ( x ) + h ( x ) ] f. [ f ( x ) × g ( x ) ] + [ f ( x ) × h ( x ) ]

Diketahui polinomial , , dan . Tentukan operasi berikut

e. 

f. 

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N. Puspita

Master Teacher

Jawaban terverifikasi

Pembahasan

Pembahasan
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Dengan menggunakan konsep perkalian dan penjumlahan dua fungsi diperoleh e. Dengan demikian hasil dari . f. Dengan demikian hasil dari adalah .

Dengan menggunakan konsep perkalian dan penjumlahan dua fungsi diperoleh

e. f open parentheses x close parentheses cross times open square brackets g open parentheses x close parentheses plus h open parentheses x close parentheses close square brackets

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell f open parentheses x close parentheses cross times open square brackets g open parentheses x close parentheses plus h open parentheses x close parentheses close square brackets end cell row blank equals cell open parentheses 2 x cubed plus 5 x squared minus 1 close parentheses cross times open square brackets open parentheses 2 x squared plus 5 close parentheses plus open parentheses 3 x close parentheses close square brackets end cell row blank equals cell open parentheses 2 x cubed plus 5 x squared minus 1 close parentheses cross times open parentheses 2 x squared plus 3 x plus 5 close parentheses end cell row blank equals cell 4 x to the power of 5 plus 6 x to the power of 4 plus 10 x cubed plus 10 x to the power of 4 plus 15 x cubed plus 25 x squared minus 2 x squared minus 3 x minus 5 end cell row blank equals cell 4 x to the power of 5 plus 16 x to the power of 4 plus 25 x cubed plus 23 x squared minus 3 x minus 5 end cell end table

Dengan demikian hasil dari

table attributes columnalign right center left columnspacing 0px end attributes row blank blank f end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses x close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cross times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open square brackets g open parentheses x close parentheses plus h open parentheses x close parentheses close square brackets 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 4 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell x to the power of 5 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 16 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell x to the power of 4 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 25 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell x cubed plus end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 23 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell x squared end cell 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 3 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x 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 5 end table.

f. open square brackets f open parentheses x close parentheses cross times g open parentheses x close parentheses close square brackets plus open square brackets f open parentheses x close parentheses cross times h open parentheses x close parentheses close square brackets

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open square brackets f open parentheses x close parentheses cross times g open parentheses x close parentheses close square brackets plus open square brackets f open parentheses x close parentheses cross times h open parentheses x close parentheses close square brackets end cell row blank equals cell open square brackets open parentheses 2 x cubed plus 5 x squared minus 1 close parentheses cross times open parentheses 2 x squared plus 5 close parentheses close square brackets plus open square brackets open parentheses 2 x cubed plus 5 x squared minus 1 close parentheses cross times open parentheses 3 x close parentheses close square brackets end cell row blank equals cell open parentheses 4 x to the power of 5 plus 10 x to the power of 4 plus 10 x cubed plus 23 x squared minus 5 close parentheses plus open parentheses 6 x to the power of 4 plus 15 x cubed minus 3 x close parentheses end cell row blank equals cell 4 x to the power of 5 plus 16 x to the power of 4 plus 25 x cubed plus 23 x squared minus 3 x minus 5 end cell end table 

Dengan demikian hasil daritable attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open square brackets f open parentheses x close parentheses cross times g open parentheses x close parentheses close square brackets end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open square brackets f open parentheses x close parentheses cross times h open parentheses x close parentheses close square brackets end cell end table adalah

table attributes columnalign right center left columnspacing 0px end attributes row blank blank 4 end table x to the power of 5 table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 16 end table x to the power of 4 plus table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 25 x cubed end cell end table plus table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell x squared end cell 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 3 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x 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 5 end table.

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