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Sisa dari pembagian x 4 − 2 x 3 + 5 x 2 − 3 x + 2 oleh ( x 2 − x − 2 ) adalah ....

Sisa dari pembagian  oleh  adalah ....

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I. Sutiawan

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Mahasiswa/Alumni Universitas Pasundan

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sisa dari pembagian oleh adalah .

 sisa dari pembagian x to the power of 4 minus 2 x cubed plus 5 x squared minus 3 x plus 2 oleh open parentheses x squared minus x minus 2 close parentheses adalah x plus 14.

Pembahasan

Jadi,sisa dari pembagian oleh adalah .

begin mathsize 12px style long division by table row cell x squared end cell minus x minus 2 end table yields table row cell x squared end cell minus x plus 6 end table pile table row cell table row cell x to the power of 4 end cell minus cell 2 x cubed end cell plus cell 5 x squared end cell minus cell 3 x end cell plus 2 end table end cell space end table table row cell bottom enclose table row cell x to the power of 4 end cell minus cell x cubed end cell minus cell 2 x squared end cell cell space space space space space space space space space end cell space space space end table end enclose end cell minus end table end pile end long division space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space table row cell table row cell negative x cubed end cell plus cell 7 x squared end cell minus cell 3 x end cell plus 2 end table end cell space end table bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space table row cell bottom enclose table row cell negative x cubed end cell plus cell x squared end cell plus cell 2 x end cell space space end table end enclose end cell cell space space space minus end cell end table bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space table row cell table row cell 6 x squared end cell minus cell 5 x end cell plus 2 end table end cell space end table space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space table row cell bottom enclose table row cell 6 x squared end cell minus cell 6 x end cell minus 12 end table end enclose end cell minus end table space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space table row x plus 14 end table space left parenthesis sisa right parenthesis end style          

Jadi, sisa dari pembagian x to the power of 4 minus 2 x cubed plus 5 x squared minus 3 x plus 2 oleh open parentheses x squared minus x minus 2 close parentheses adalah x plus 14.

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