Preparazione all'algebra Esempi

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

Passaggio 1

Imposta i polinomi da dividere. Se non c'è un termine per ogni esponente, inseriscine uno con un valore di $0$ .

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

Passaggio 2

Dividi il termine di ordine più alto nel dividendo $x^{12}$ per il termine di ordine più alto nel divisore $x$ .

$x^{11}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

Passaggio 3

Moltiplica il nuovo quoziente per il divisore.

$x^{11}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

Passaggio 4

L'espressione deve essere sottratta dal dividendo; quindi, cambia tutti i segni in $x^{12} + x^{11}$

$x^{11}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

Passaggio 5

Dopo aver cambiato i segni, somma l'ultimo dividendo del polinomio moltiplicato per trovare il nuovo dividendo.

$x^{11}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

Passaggio 6

Abbassa i termini successivi dal dividendo originale nel dividendo attuale.

$x^{11}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

Passaggio 7

Dividi il termine di ordine più alto nel dividendo $- x^{11}$ per il termine di ordine più alto nel divisore $x$ .

$x^{11}$

$x^{10}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

Passaggio 8

Moltiplica il nuovo quoziente per il divisore.

$x^{11}$

$x^{10}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

Passaggio 9

L'espressione deve essere sottratta dal dividendo; quindi, cambia tutti i segni in $- x^{11} - x^{10}$

$x^{11}$

$x^{10}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

Passaggio 10

Dopo aver cambiato i segni, somma l'ultimo dividendo del polinomio moltiplicato per trovare il nuovo dividendo.

$x^{11}$

$x^{10}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

Passaggio 11

Abbassa i termini successivi dal dividendo originale nel dividendo attuale.

$x^{11}$

$x^{10}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

Passaggio 12

Dividi il termine di ordine più alto nel dividendo $x^{10}$ per il termine di ordine più alto nel divisore $x$ .

$x^{11}$

$x^{10}$

$x^{9}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

Passaggio 13

Moltiplica il nuovo quoziente per il divisore.

$x^{11}$

$x^{10}$

$x^{9}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

Passaggio 14

L'espressione deve essere sottratta dal dividendo; quindi, cambia tutti i segni in $x^{10} + x^{9}$

$x^{11}$

$x^{10}$

$x^{9}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

Passaggio 15

Dopo aver cambiato i segni, somma l'ultimo dividendo del polinomio moltiplicato per trovare il nuovo dividendo.

$x^{11}$

$x^{10}$

$x^{9}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

Passaggio 16

Abbassa i termini successivi dal dividendo originale nel dividendo attuale.

$x^{11}$

$x^{10}$

$x^{9}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

Passaggio 17

Dividi il termine di ordine più alto nel dividendo $- x^{9}$ per il termine di ordine più alto nel divisore $x$ .

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

Passaggio 18

Moltiplica il nuovo quoziente per il divisore.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

Passaggio 19

L'espressione deve essere sottratta dal dividendo; quindi, cambia tutti i segni in $- x^{9} - x^{8}$

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

Passaggio 20

Dopo aver cambiato i segni, somma l'ultimo dividendo del polinomio moltiplicato per trovare il nuovo dividendo.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

Passaggio 21

Abbassa i termini successivi dal dividendo originale nel dividendo attuale.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

Passaggio 22

Dividi il termine di ordine più alto nel dividendo $x^{8}$ per il termine di ordine più alto nel divisore $x$ .

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

Passaggio 23

Moltiplica il nuovo quoziente per il divisore.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

Passaggio 24

L'espressione deve essere sottratta dal dividendo; quindi, cambia tutti i segni in $x^{8} + x^{7}$

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

Passaggio 25

Dopo aver cambiato i segni, somma l'ultimo dividendo del polinomio moltiplicato per trovare il nuovo dividendo.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

Passaggio 26

Abbassa i termini successivi dal dividendo originale nel dividendo attuale.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

Passaggio 27

Dividi il termine di ordine più alto nel dividendo $- 3 x^{7}$ per il termine di ordine più alto nel divisore $x$ .

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

Passaggio 28

Moltiplica il nuovo quoziente per il divisore.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

Passaggio 29

L'espressione deve essere sottratta dal dividendo; quindi, cambia tutti i segni in $- 3 x^{7} - 3 x^{6}$

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

Passaggio 30

Dopo aver cambiato i segni, somma l'ultimo dividendo del polinomio moltiplicato per trovare il nuovo dividendo.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

Passaggio 31

Abbassa i termini successivi dal dividendo originale nel dividendo attuale.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

Passaggio 32

Dividi il termine di ordine più alto nel dividendo $3 x^{6}$ per il termine di ordine più alto nel divisore $x$ .

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

Passaggio 33

Moltiplica il nuovo quoziente per il divisore.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

Passaggio 34

L'espressione deve essere sottratta dal dividendo; quindi, cambia tutti i segni in $3 x^{6} + 3 x^{5}$

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

Passaggio 35

Dopo aver cambiato i segni, somma l'ultimo dividendo del polinomio moltiplicato per trovare il nuovo dividendo.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

Passaggio 36

Abbassa i termini successivi dal dividendo originale nel dividendo attuale.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

Passaggio 37

Dividi il termine di ordine più alto nel dividendo $- 3 x^{5}$ per il termine di ordine più alto nel divisore $x$ .

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

Passaggio 38

Moltiplica il nuovo quoziente per il divisore.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

Passaggio 39

L'espressione deve essere sottratta dal dividendo; quindi, cambia tutti i segni in $- 3 x^{5} - 3 x^{4}$

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

Passaggio 40

Dopo aver cambiato i segni, somma l'ultimo dividendo del polinomio moltiplicato per trovare il nuovo dividendo.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

Passaggio 41

Abbassa i termini successivi dal dividendo originale nel dividendo attuale.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

$0 x^{3}$

Passaggio 42

Dividi il termine di ordine più alto nel dividendo $3 x^{4}$ per il termine di ordine più alto nel divisore $x$ .

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$3 x^{3}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

$0 x^{3}$

Passaggio 43

Moltiplica il nuovo quoziente per il divisore.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$3 x^{3}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

$0 x^{3}$

$3 x^{4}$

$3 x^{3}$

Passaggio 44

L'espressione deve essere sottratta dal dividendo; quindi, cambia tutti i segni in $3 x^{4} + 3 x^{3}$

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$3 x^{3}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

$0 x^{3}$

$3 x^{4}$

$3 x^{3}$

Passaggio 45

Dopo aver cambiato i segni, somma l'ultimo dividendo del polinomio moltiplicato per trovare il nuovo dividendo.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$3 x^{3}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

$0 x^{3}$

$3 x^{4}$

$3 x^{3}$

Passaggio 46

Abbassa i termini successivi dal dividendo originale nel dividendo attuale.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$3 x^{3}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

$0 x^{3}$

$3 x^{4}$

$3 x^{3}$

$6 x^{2}$

Passaggio 47

Dividi il termine di ordine più alto nel dividendo $- 3 x^{3}$ per il termine di ordine più alto nel divisore $x$ .

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$3 x^{3}$

$3 x^{2}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

$0 x^{3}$

$3 x^{4}$

$3 x^{3}$

$6 x^{2}$

Passaggio 48

Moltiplica il nuovo quoziente per il divisore.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$3 x^{3}$

$3 x^{2}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

$0 x^{3}$

$3 x^{4}$

$3 x^{3}$

$6 x^{2}$

$3 x^{3}$

$3 x^{2}$

Passaggio 49

L'espressione deve essere sottratta dal dividendo; quindi, cambia tutti i segni in $- 3 x^{3} - 3 x^{2}$

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$3 x^{3}$

$3 x^{2}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

$0 x^{3}$

$3 x^{4}$

$3 x^{3}$

$6 x^{2}$

$3 x^{3}$

$3 x^{2}$

Passaggio 50

Dopo aver cambiato i segni, somma l'ultimo dividendo del polinomio moltiplicato per trovare il nuovo dividendo.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$3 x^{3}$

$3 x^{2}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

$0 x^{3}$

$3 x^{4}$

$3 x^{3}$

$6 x^{2}$

$3 x^{3}$

$3 x^{2}$

$9 x^{2}$

Passaggio 51

Abbassa i termini successivi dal dividendo originale nel dividendo attuale.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$3 x^{3}$

$3 x^{2}$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

$0 x^{3}$

$3 x^{4}$

$3 x^{3}$

$6 x^{2}$

$3 x^{3}$

$3 x^{2}$

$9 x^{2}$

$0 x$

Passaggio 52

Dividi il termine di ordine più alto nel dividendo $9 x^{2}$ per il termine di ordine più alto nel divisore $x$ .

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$3 x^{3}$

$3 x^{2}$

$9 x$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

$0 x^{3}$

$3 x^{4}$

$3 x^{3}$

$6 x^{2}$

$3 x^{3}$

$3 x^{2}$

$9 x^{2}$

$0 x$

Passaggio 53

Moltiplica il nuovo quoziente per il divisore.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$3 x^{3}$

$3 x^{2}$

$9 x$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

$0 x^{3}$

$3 x^{4}$

$3 x^{3}$

$6 x^{2}$

$3 x^{3}$

$3 x^{2}$

$9 x^{2}$

$0 x$

$9 x^{2}$

$9 x$

Passaggio 54

L'espressione deve essere sottratta dal dividendo; quindi, cambia tutti i segni in $9 x^{2} + 9 x$

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$3 x^{3}$

$3 x^{2}$

$9 x$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

$0 x^{3}$

$3 x^{4}$

$3 x^{3}$

$6 x^{2}$

$3 x^{3}$

$3 x^{2}$

$9 x^{2}$

$0 x$

$9 x^{2}$

$9 x$

Passaggio 55

Dopo aver cambiato i segni, somma l'ultimo dividendo del polinomio moltiplicato per trovare il nuovo dividendo.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$3 x^{3}$

$3 x^{2}$

$9 x$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

$0 x^{3}$

$3 x^{4}$

$3 x^{3}$

$6 x^{2}$

$3 x^{3}$

$3 x^{2}$

$9 x^{2}$

$0 x$

$9 x^{2}$

$9 x$

Passaggio 56

Abbassa i termini successivi dal dividendo originale nel dividendo attuale.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$3 x^{3}$

$3 x^{2}$

$9 x$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

$0 x^{3}$

$3 x^{4}$

$3 x^{3}$

$6 x^{2}$

$3 x^{3}$

$3 x^{2}$

$9 x^{2}$

$0 x$

$9 x^{2}$

$9 x$

$4$

Passaggio 57

Dividi il termine di ordine più alto nel dividendo $- 9 x$ per il termine di ordine più alto nel divisore $x$ .

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$3 x^{3}$

$3 x^{2}$

$9 x$

$9$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

$0 x^{3}$

$3 x^{4}$

$3 x^{3}$

$6 x^{2}$

$3 x^{3}$

$3 x^{2}$

$9 x^{2}$

$0 x$

$9 x^{2}$

$9 x$

$4$

Passaggio 58

Moltiplica il nuovo quoziente per il divisore.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$3 x^{3}$

$3 x^{2}$

$9 x$

$9$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

$0 x^{3}$

$3 x^{4}$

$3 x^{3}$

$6 x^{2}$

$3 x^{3}$

$3 x^{2}$

$9 x^{2}$

$0 x$

$9 x^{2}$

$9 x$

$4$

$9 x$

$9$

Passaggio 59

L'espressione deve essere sottratta dal dividendo; quindi, cambia tutti i segni in $- 9 x - 9$

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$3 x^{3}$

$3 x^{2}$

$9 x$

$9$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

$0 x^{3}$

$3 x^{4}$

$3 x^{3}$

$6 x^{2}$

$3 x^{3}$

$3 x^{2}$

$9 x^{2}$

$0 x$

$9 x^{2}$

$9 x$

$4$

$9 x$

$9$

Passaggio 60

Dopo aver cambiato i segni, somma l'ultimo dividendo del polinomio moltiplicato per trovare il nuovo dividendo.

$x^{11}$

$x^{10}$

$x^{9}$

$x^{8}$

$x^{7}$

$3 x^{6}$

$3 x^{5}$

$3 x^{4}$

$3 x^{3}$

$3 x^{2}$

$9 x$

$9$

$x$

$1$

$x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$2 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$0 x$

$4$

$x^{12}$

$x^{11}$

$0 x^{10}$

$x^{11}$

$x^{10}$

$0 x^{9}$

$x^{10}$

$x^{9}$

$0 x^{8}$

$x^{9}$

$x^{8}$

$2 x^{7}$

$x^{8}$

$x^{7}$

$3 x^{7}$

$0 x^{6}$

$3 x^{7}$

$3 x^{6}$

$0 x^{5}$

$3 x^{6}$

$3 x^{5}$

$0 x^{4}$

$3 x^{5}$

$3 x^{4}$

$0 x^{3}$

$3 x^{4}$

$3 x^{3}$

$6 x^{2}$

$3 x^{3}$

$3 x^{2}$

$9 x^{2}$

$0 x$

$9 x^{2}$

$9 x$

$4$

$9 x$

$9$

$5$

Passaggio 61

La risposta finale è il quoziente più il resto sopra il divisore.

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