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Suku banyak x 4 − a x 3 + ( a + 1 ) x 2 + ( a + 2 ) x + ( a + 3 ) jika dibagi dengan x 2 − 2 x − 3 menghasilkan sisa pembagian − 2 a x + b , maka b a ​ = ....

Suku banyak  jika dibagi dengan  menghasilkan sisa pembagian , maka ....

  1. undefined   

  2. begin mathsize 14px style negative 1 fourth end style  

  3. undefined  

  4. undefined 

  5. begin mathsize 14px style 1 half end style  

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Pembahasan

Ingat kembali bentuk umum suku banyak. f ( x ) = a x 3 + b x 2 + c x + d Sehingga, Suku banyak dibagi dengan , dengan metode bersusun. bersisa , maka : − 2 a x + b = 2 x + ( − a + 2 ) − 2 a x − 2 a a ​ = = = ​ 2 x 2 − 1 ​ b b b ​ = = = ​ − a + 2 − ( − 1 ) + 2 3 ​ Dengan demikian, b a ​ adalah − 3 1 ​ . Oleh karena itu, tidak ada jawaban yang benar.

Ingat kembali bentuk umum suku banyak.

Sehingga, Suku banyak begin mathsize 14px style x to the power of 4 minus a x cubed plus open parentheses a plus 1 close parentheses x squared plus open parentheses a plus 2 close parentheses x plus open parentheses a plus 3 close parentheses space end style dibagi dengan begin mathsize 14px style x squared minus 2 x minus 3 end style, dengan metode bersusun.

begin mathsize 14px style long division by straight x squared plus straight x plus 1 yields table row cell straight x squared end cell cell plus open parentheses negative straight a minus 1 close parentheses straight x plus 2 straight a plus 1 end cell end table table row blank end table pile table row cell up diagonal strike straight x to the power of 4 end strike minus ax cubed plus open parentheses straight a plus 1 close parentheses straight x squared plus open parentheses straight a plus 2 close parentheses straight x plus open parentheses straight a plus 3 close parentheses end cell blank end table table row cell table row cell up diagonal strike straight x to the power of 4 end strike plus straight x cubed end cell cell plus straight x squared 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 end cell blank blank end table end cell blank 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 minus space space space space space space space space space space space space space space space space space space space space space space up diagonal strike open parentheses negative straight a minus 1 close parentheses straight x cubed end strike plus ax squared plus left parenthesis straight a plus 2 right parenthesis straight x plus left parenthesis straight a plus 3 right parenthesis space space space space space space space space space space space space space space space space space space space space space up diagonal strike left parenthesis negative straight a minus 1 right parenthesis straight x cubed end strike plus open parentheses negative straight a minus 1 close parentheses straight x squared plus open parentheses negative straight a minus 1 close parentheses straight x space space space space space space space space space space space space space space space space space space space _____________________________ space minus 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 up diagonal strike space open parentheses 2 straight a plus 1 close parentheses straight x squared end strike plus open parentheses 2 straight a plus 3 close parentheses straight x plus left parenthesis straight a plus 3 right parenthesis 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 up diagonal strike left parenthesis 2 straight a plus 1 right parenthesis straight x squared end strike plus open parentheses 2 straight a plus 1 close parentheses straight x plus open parentheses 2 straight a plus 1 close parentheses space space space space space space space space space space space space space space space space space space space space _________________________________ space minus 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 2 straight x minus straight a plus 2 end style   

bersisa begin mathsize 14px style negative 2 a x plus b end style, maka :

Dengan demikian,   adalah .

Oleh karena itu, tidak ada jawaban yang benar.

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