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No Operasi Polinomial Hasil Operasi Keterangan 3 f ( x ) − g ( x )

No Operasi Polinomial Hasil Operasi Keterangan
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Y. Endah

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

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Pembahasan

Misal dan . Perhatikan sehingga, hasil operasi adalah .

Misal begin mathsize 14px style f left parenthesis x right parenthesis equals a subscript 0 x to the power of n plus a subscript 1 x to the power of n minus 1 end exponent plus horizontal ellipsis plus a subscript n end style dan begin mathsize 14px style g left parenthesis x right parenthesis equals b subscript 0 x to the power of n plus b subscript 1 x to the power of n minus 1 end exponent plus horizontal ellipsis plus b subscript n end style.

Perhatikan 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f open parentheses x close parentheses minus g open parentheses x close parentheses end cell equals cell open parentheses a subscript 0 x to the power of n plus a subscript 1 x to the power of n minus 1 end exponent plus horizontal ellipsis plus a subscript n close parentheses minus open parentheses b subscript 0 x to the power of n plus b subscript 1 x to the power of n minus 1 end exponent plus horizontal ellipsis plus b subscript n close parentheses end cell row cell f open parentheses x close parentheses minus g open parentheses x close parentheses end cell equals cell open parentheses a subscript 0 minus b subscript 0 close parentheses x to the power of n plus open parentheses a subscript 1 minus b subscript 1 close parentheses x to the power of n minus 1 end exponent plus horizontal ellipsis plus open parentheses a subscript n minus b subscript n close parentheses end cell end table end style 

sehingga, hasil operasi begin mathsize 14px style 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 minus table attributes columnalign right center left columnspacing 0px end attributes row blank blank g end table left parenthesis x right parenthesis end style  adalah begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses a subscript 0 minus b subscript 0 close parentheses end cell 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 cell blank to the power of n 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 parentheses a subscript 1 minus b subscript 1 close parentheses end cell 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 cell blank to the power of n minus 1 end exponent 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 horizontal ellipsis 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 parentheses a subscript n minus b subscript n close parentheses end cell end table end style.

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