Pré-álgebra Exemplos

$\frac{x^{12} - 2 x^{7} + 6 x^{2} - 4}{x + 1}$

Etapa 1

Estabeleça os polinômios a serem divididos. Se não houver um termo para cada expoente, insira um com valor de $0$ .

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

Etapa 2

Divida o termo de ordem mais alta no dividendo $x^{12}$ pelo termo de ordem mais alta no divisor $x$ .

$x^{11}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

Etapa 3

Multiplique o novo termo do quociente pelo divisor.

$x^{11}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

Etapa 4

A expressão precisa ser subtraída do dividendo. Portanto, altere todos os sinais em $x^{12} + x^{11}$ .

$x^{11}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

Etapa 5

Depois de alterar os sinais, some o último dividendo do polinômio multiplicado para encontrar o novo dividendo.

$x^{11}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

Etapa 6

Tire os próximos termos do dividendo original e os coloque no dividendo atual.

$x^{11}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

Etapa 7

Divida o termo de ordem mais alta no dividendo $- x^{11}$ pelo termo de ordem mais alta no divisor $x$ .

$x^{11}$

$x^{10}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

Etapa 8

Multiplique o novo termo do quociente pelo divisor.

$x^{11}$

$x^{10}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

Etapa 9

A expressão precisa ser subtraída do dividendo. Portanto, altere todos os sinais em $- x^{11} - x^{10}$ .

$x^{11}$

$x^{10}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

Etapa 10

Depois de alterar os sinais, some o último dividendo do polinômio multiplicado para encontrar o novo dividendo.

$x^{11}$

$x^{10}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

Etapa 11

Tire os próximos termos do dividendo original e os coloque no dividendo atual.

$x^{11}$

$x^{10}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

Etapa 12

Divida o termo de ordem mais alta no dividendo $x^{10}$ pelo termo de ordem mais alta no divisor $x$ .

$x^{11}$

$x^{10}$

$x^{9}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

Etapa 13

Multiplique o novo termo do quociente pelo divisor.

$x^{11}$

$x^{10}$

$x^{9}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

Etapa 14

A expressão precisa ser subtraída do dividendo. Portanto, altere todos os sinais em $x^{10} + x^{9}$ .

$x^{11}$

$x^{10}$

$x^{9}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

Etapa 15

Depois de alterar os sinais, some o último dividendo do polinômio multiplicado para encontrar o novo dividendo.

$x^{11}$

$x^{10}$

$x^{9}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

Etapa 16

Tire os próximos termos do dividendo original e os coloque no dividendo atual.

$x^{11}$

$x^{10}$

$x^{9}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

Etapa 17

Divida o termo de ordem mais alta no dividendo $- x^{9}$ pelo termo de ordem mais alta no divisor $x$ .

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

Etapa 18

Multiplique o novo termo do quociente pelo divisor.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

Etapa 19

A expressão precisa ser subtraída do dividendo. Portanto, altere todos os sinais em $- x^{9} - x^{8}$ .

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

Etapa 20

Depois de alterar os sinais, some o último dividendo do polinômio multiplicado para encontrar o novo dividendo.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

Etapa 21

Tire os próximos termos do dividendo original e os coloque no dividendo atual.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

Etapa 22

Divida o termo de ordem mais alta no dividendo $x^{8}$ pelo termo de ordem mais alta no divisor $x$ .

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

Etapa 23

Multiplique o novo termo do quociente pelo divisor.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

Etapa 24

A expressão precisa ser subtraída do dividendo. Portanto, altere todos os sinais em $x^{8} + x^{7}$ .

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

Etapa 25

Depois de alterar os sinais, some o último dividendo do polinômio multiplicado para encontrar o novo dividendo.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

Etapa 26

Tire os próximos termos do dividendo original e os coloque no dividendo atual.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

Etapa 27

Divida o termo de ordem mais alta no dividendo $- 3 x^{7}$ pelo termo de ordem mais alta no divisor $x$ .

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

Etapa 28

Multiplique o novo termo do quociente pelo divisor.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

Etapa 29

A expressão precisa ser subtraída do dividendo. Portanto, altere todos os sinais em $- 3 x^{7} - 3 x^{6}$ .

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

Etapa 30

Depois de alterar os sinais, some o último dividendo do polinômio multiplicado para encontrar o novo dividendo.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

Etapa 31

Tire os próximos termos do dividendo original e os coloque no dividendo atual.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

Etapa 32

Divida o termo de ordem mais alta no dividendo $3 x^{6}$ pelo termo de ordem mais alta no divisor $x$ .

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

Etapa 33

Multiplique o novo termo do quociente pelo divisor.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

Etapa 34

A expressão precisa ser subtraída do dividendo. Portanto, altere todos os sinais em $3 x^{6} + 3 x^{5}$ .

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

Etapa 35

Depois de alterar os sinais, some o último dividendo do polinômio multiplicado para encontrar o novo dividendo.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

Etapa 36

Tire os próximos termos do dividendo original e os coloque no dividendo atual.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

Etapa 37

Divida o termo de ordem mais alta no dividendo $- 3 x^{5}$ pelo termo de ordem mais alta no divisor $x$ .

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

Etapa 38

Multiplique o novo termo do quociente pelo divisor.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

Etapa 39

A expressão precisa ser subtraída do dividendo. Portanto, altere todos os sinais em $- 3 x^{5} - 3 x^{4}$ .

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

Etapa 40

Depois de alterar os sinais, some o último dividendo do polinômio multiplicado para encontrar o novo dividendo.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

Etapa 41

Tire os próximos termos do dividendo original e os coloque no dividendo atual.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

$0 x^{3}$

Etapa 42

Divida o termo de ordem mais alta no dividendo $3 x^{4}$ pelo termo de ordem mais alta no divisor $x$ .

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$3 x^{3}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

$0 x^{3}$

Etapa 43

Multiplique o novo termo do quociente pelo divisor.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$3 x^{3}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

$0 x^{3}$

$3 x^{4}$

$3 x^{3}$

Etapa 44

A expressão precisa ser subtraída do dividendo. Portanto, altere todos os sinais em $3 x^{4} + 3 x^{3}$ .

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$3 x^{3}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

$0 x^{3}$

$3 x^{4}$

$3 x^{3}$

Etapa 45

Depois de alterar os sinais, some o último dividendo do polinômio multiplicado para encontrar o novo dividendo.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$3 x^{3}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

$0 x^{3}$

$3 x^{4}$

$3 x^{3}$

Etapa 46

Tire os próximos termos do dividendo original e os coloque no dividendo atual.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$3 x^{3}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

$0 x^{3}$

$3 x^{4}$

$3 x^{3}$

$6 x^{2}$

Etapa 47

Divida o termo de ordem mais alta no dividendo $- 3 x^{3}$ pelo termo de ordem mais alta no divisor $x$ .

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$3 x^{3}$

$3 x^{2}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

$0 x^{3}$

$3 x^{4}$

$3 x^{3}$

$6 x^{2}$

Etapa 48

Multiplique o novo termo do quociente pelo divisor.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$3 x^{3}$

$3 x^{2}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

$0 x^{3}$

$3 x^{4}$

$3 x^{3}$

$6 x^{2}$

$3 x^{3}$

$3 x^{2}$

Etapa 49

A expressão precisa ser subtraída do dividendo. Portanto, altere todos os sinais em $- 3 x^{3} - 3 x^{2}$ .

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$3 x^{3}$

$3 x^{2}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

$0 x^{3}$

$3 x^{4}$

$3 x^{3}$

$6 x^{2}$

$3 x^{3}$

$3 x^{2}$

Etapa 50

Depois de alterar os sinais, some o último dividendo do polinômio multiplicado para encontrar o novo dividendo.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$3 x^{3}$

$3 x^{2}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

$0 x^{3}$

$3 x^{4}$

$3 x^{3}$

$6 x^{2}$

$3 x^{3}$

$3 x^{2}$

$9 x^{2}$

Etapa 51

Tire os próximos termos do dividendo original e os coloque no dividendo atual.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$3 x^{3}$

$3 x^{2}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

$0 x^{3}$

$3 x^{4}$

$3 x^{3}$

$6 x^{2}$

$3 x^{3}$

$3 x^{2}$

$9 x^{2}$

$0 x$

Etapa 52

Divida o termo de ordem mais alta no dividendo $9 x^{2}$ pelo termo de ordem mais alta no divisor $x$ .

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$3 x^{3}$

$3 x^{2}$

$9 x$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

$0 x^{3}$

$3 x^{4}$

$3 x^{3}$

$6 x^{2}$

$3 x^{3}$

$3 x^{2}$

$9 x^{2}$

$0 x$

Etapa 53

Multiplique o novo termo do quociente pelo divisor.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$3 x^{3}$

$3 x^{2}$

$9 x$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

$0 x^{3}$

$3 x^{4}$

$3 x^{3}$

$6 x^{2}$

$3 x^{3}$

$3 x^{2}$

$9 x^{2}$

$0 x$

$9 x^{2}$

$9 x$

Etapa 54

A expressão precisa ser subtraída do dividendo. Portanto, altere todos os sinais em $9 x^{2} + 9 x$ .

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$3 x^{3}$

$3 x^{2}$

$9 x$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

$0 x^{3}$

$3 x^{4}$

$3 x^{3}$

$6 x^{2}$

$3 x^{3}$

$3 x^{2}$

$9 x^{2}$

$0 x$

$9 x^{2}$

$9 x$

Etapa 55

Depois de alterar os sinais, some o último dividendo do polinômio multiplicado para encontrar o novo dividendo.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$3 x^{3}$

$3 x^{2}$

$9 x$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

$0 x^{3}$

$3 x^{4}$

$3 x^{3}$

$6 x^{2}$

$3 x^{3}$

$3 x^{2}$

$9 x^{2}$

$0 x$

$9 x^{2}$

$9 x$

Etapa 56

Tire os próximos termos do dividendo original e os coloque no dividendo atual.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$3 x^{3}$

$3 x^{2}$

$9 x$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

$0 x^{3}$

$3 x^{4}$

$3 x^{3}$

$6 x^{2}$

$3 x^{3}$

$3 x^{2}$

$9 x^{2}$

$0 x$

$9 x^{2}$

$9 x$

$4$

Etapa 57

Divida o termo de ordem mais alta no dividendo $- 9 x$ pelo termo de ordem mais alta no divisor $x$ .

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$3 x^{3}$

$3 x^{2}$

$9 x$

$9$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

$0 x^{3}$

$3 x^{4}$

$3 x^{3}$

$6 x^{2}$

$3 x^{3}$

$3 x^{2}$

$9 x^{2}$

$0 x$

$9 x^{2}$

$9 x$

$4$

Etapa 58

Multiplique o novo termo do quociente pelo divisor.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$3 x^{3}$

$3 x^{2}$

$9 x$

$9$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

$0 x^{3}$

$3 x^{4}$

$3 x^{3}$

$6 x^{2}$

$3 x^{3}$

$3 x^{2}$

$9 x^{2}$

$0 x$

$9 x^{2}$

$9 x$

$4$

$9 x$

$9$

Etapa 59

A expressão precisa ser subtraída do dividendo. Portanto, altere todos os sinais em $- 9 x - 9$ .

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$3 x^{3}$

$3 x^{2}$

$9 x$

$9$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

$0 x^{3}$

$3 x^{4}$

$3 x^{3}$

$6 x^{2}$

$3 x^{3}$

$3 x^{2}$

$9 x^{2}$

$0 x$

$9 x^{2}$

$9 x$

$4$

$9 x$

$9$

Etapa 60

Depois de alterar os sinais, some o último dividendo do polinômio multiplicado para encontrar o novo dividendo.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$3 x^{3}$

$3 x^{2}$

$9 x$

$9$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

$0 x^{3}$

$3 x^{4}$

$3 x^{3}$

$6 x^{2}$

$3 x^{3}$

$3 x^{2}$

$9 x^{2}$

$0 x$

$9 x^{2}$

$9 x$

$4$

$9 x$

$9$

$5$

Etapa 61

A resposta final é o quociente mais o resto sobre o divisor.

$x^{11} - x^{10} + x^{9} - x^{8} + x^{7} - 3 x^{6} + 3 x^{5} - 3 x^{4} + 3 x^{3} - 3 x^{2} + 9 x - 9 + \frac{5}{x + 1}$