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Pertanyaan

Berapakah hasil bagi begin mathsize 14px style 4 x to the power of 5 plus 3 x cubed minus 6 x squared minus 5 x plus 1 end style bila dibagi dengan begin mathsize 14px style 2 x minus 1 end style?

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Jawaban

hasil bagi begin mathsize 14px style 4 x to the power of 5 plus 3 x cubed minus 6 x squared minus 5 x plus 1 end style bila dibagi dengan begin mathsize 14px style 2 x minus 1 end style adalah begin mathsize 14px style 2 x to the power of 4 plus x cubed plus 2 x squared minus 2 x minus 3 comma 5 end style.

Pembahasan

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 2 x minus 1 end cell equals 0 row cell 2 x end cell equals 1 row x equals cell 1 half end cell end table end style 

Dengan menerapkan pembagian suku banyak metode Horner, diperoleh:

begin mathsize 14px style long division with stack on the left by table row 4 0 3 cell negative 6 end cell cell negative 5 end cell 1 row blank 2 1 2 cell negative 2 end cell cell negative 3 comma 5 space plus end cell end table yields table row 4 2 4 cell negative 4 end cell cell negative 7 end cell cell negative 2 comma 5 end cell end table pile 1 half end pile end long division end style 

Hasil baginya adalah:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell h open parentheses x close parentheses end cell equals cell 1 half open parentheses 4 x to the power of 4 plus 2 x cubed plus 4 x squared minus 4 x minus 7 close parentheses end cell row blank equals cell 2 x to the power of 4 plus x cubed plus 2 x squared minus 2 x minus 3 comma 5 end cell end table end style 

Jadi, hasil bagi begin mathsize 14px style 4 x to the power of 5 plus 3 x cubed minus 6 x squared minus 5 x plus 1 end style bila dibagi dengan begin mathsize 14px style 2 x minus 1 end style adalah begin mathsize 14px style 2 x to the power of 4 plus x cubed plus 2 x squared minus 2 x minus 3 comma 5 end style.

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