Algebra Esempi

$\frac{4 x^{15} - 6 x^{2} - 5 x + 6}{x - 1}$

Passaggio 1

Per calcolare il resto, devi innanzitutto dividere i polinomi.

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Passaggio 1.1

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

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

Passaggio 1.2

Dividi il termine di ordine più alto nel dividendo $4 x^{15}$ per il termine di ordine più alto nel divisore $x$ .

$4 x^{14}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

Passaggio 1.3

Moltiplica il nuovo quoziente per il divisore.

$4 x^{14}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

Passaggio 1.4

L'espressione deve essere sottratta dal dividendo; quindi, cambia tutti i segni in $4 x^{15} - 4 x^{14}$

$4 x^{14}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

Passaggio 1.5

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

$4 x^{14}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

Passaggio 1.6

Abbassa i termini successivi dal dividendo originale nel dividendo attuale.

$4 x^{14}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

Passaggio 1.7

Dividi il termine di ordine più alto nel dividendo $4 x^{14}$ per il termine di ordine più alto nel divisore $x$ .

$4 x^{14}$

$4 x^{13}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

Passaggio 1.8

Moltiplica il nuovo quoziente per il divisore.

$4 x^{14}$

$4 x^{13}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

Passaggio 1.9

L'espressione deve essere sottratta dal dividendo; quindi, cambia tutti i segni in $4 x^{14} - 4 x^{13}$

$4 x^{14}$

$4 x^{13}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

Passaggio 1.10

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

$4 x^{14}$

$4 x^{13}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

Passaggio 1.11

Abbassa i termini successivi dal dividendo originale nel dividendo attuale.

$4 x^{14}$

$4 x^{13}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

Passaggio 1.12

Dividi il termine di ordine più alto nel dividendo $4 x^{13}$ per il termine di ordine più alto nel divisore $x$ .

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

Passaggio 1.13

Moltiplica il nuovo quoziente per il divisore.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

Passaggio 1.14

L'espressione deve essere sottratta dal dividendo; quindi, cambia tutti i segni in $4 x^{13} - 4 x^{12}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

Passaggio 1.15

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

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

Passaggio 1.16

Abbassa i termini successivi dal dividendo originale nel dividendo attuale.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

Passaggio 1.17

Dividi il termine di ordine più alto nel dividendo $4 x^{12}$ per il termine di ordine più alto nel divisore $x$ .

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

Passaggio 1.18

Moltiplica il nuovo quoziente per il divisore.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

Passaggio 1.19

L'espressione deve essere sottratta dal dividendo; quindi, cambia tutti i segni in $4 x^{12} - 4 x^{11}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

Passaggio 1.20

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

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

Passaggio 1.21

Abbassa i termini successivi dal dividendo originale nel dividendo attuale.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

Passaggio 1.22

Dividi il termine di ordine più alto nel dividendo $4 x^{11}$ per il termine di ordine più alto nel divisore $x$ .

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

Passaggio 1.23

Moltiplica il nuovo quoziente per il divisore.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

Passaggio 1.24

L'espressione deve essere sottratta dal dividendo; quindi, cambia tutti i segni in $4 x^{11} - 4 x^{10}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

Passaggio 1.25

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

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

Passaggio 1.26

Abbassa i termini successivi dal dividendo originale nel dividendo attuale.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

Passaggio 1.27

Dividi il termine di ordine più alto nel dividendo $4 x^{10}$ per il termine di ordine più alto nel divisore $x$ .

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

Passaggio 1.28

Moltiplica il nuovo quoziente per il divisore.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

Passaggio 1.29

L'espressione deve essere sottratta dal dividendo; quindi, cambia tutti i segni in $4 x^{10} - 4 x^{9}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

Passaggio 1.30

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

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

Passaggio 1.31

Abbassa i termini successivi dal dividendo originale nel dividendo attuale.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

Passaggio 1.32

Dividi il termine di ordine più alto nel dividendo $4 x^{9}$ per il termine di ordine più alto nel divisore $x$ .

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

Passaggio 1.33

Moltiplica il nuovo quoziente per il divisore.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

Passaggio 1.34

L'espressione deve essere sottratta dal dividendo; quindi, cambia tutti i segni in $4 x^{9} - 4 x^{8}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

Passaggio 1.35

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

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

Passaggio 1.36

Abbassa i termini successivi dal dividendo originale nel dividendo attuale.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

Passaggio 1.37

Dividi il termine di ordine più alto nel dividendo $4 x^{8}$ per il termine di ordine più alto nel divisore $x$ .

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

Passaggio 1.38

Moltiplica il nuovo quoziente per il divisore.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

Passaggio 1.39

L'espressione deve essere sottratta dal dividendo; quindi, cambia tutti i segni in $4 x^{8} - 4 x^{7}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

Passaggio 1.40

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

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

Passaggio 1.41

Abbassa i termini successivi dal dividendo originale nel dividendo attuale.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

Passaggio 1.42

Dividi il termine di ordine più alto nel dividendo $4 x^{7}$ per il termine di ordine più alto nel divisore $x$ .

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

Passaggio 1.43

Moltiplica il nuovo quoziente per il divisore.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

Passaggio 1.44

L'espressione deve essere sottratta dal dividendo; quindi, cambia tutti i segni in $4 x^{7} - 4 x^{6}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

Passaggio 1.45

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

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

Passaggio 1.46

Abbassa i termini successivi dal dividendo originale nel dividendo attuale.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

Passaggio 1.47

Dividi il termine di ordine più alto nel dividendo $4 x^{6}$ per il termine di ordine più alto nel divisore $x$ .

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

Passaggio 1.48

Moltiplica il nuovo quoziente per il divisore.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

Passaggio 1.49

L'espressione deve essere sottratta dal dividendo; quindi, cambia tutti i segni in $4 x^{6} - 4 x^{5}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

Passaggio 1.50

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

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

Passaggio 1.51

Abbassa i termini successivi dal dividendo originale nel dividendo attuale.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

Passaggio 1.52

Dividi il termine di ordine più alto nel dividendo $4 x^{5}$ per il termine di ordine più alto nel divisore $x$ .

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

Passaggio 1.53

Moltiplica il nuovo quoziente per il divisore.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

Passaggio 1.54

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

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

Passaggio 1.55

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

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

Passaggio 1.56

Abbassa i termini successivi dal dividendo originale nel dividendo attuale.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

Passaggio 1.57

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

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

Passaggio 1.58

Moltiplica il nuovo quoziente per il divisore.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

Passaggio 1.59

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

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

Passaggio 1.60

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

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

Passaggio 1.61

Abbassa i termini successivi dal dividendo originale nel dividendo attuale.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$6 x^{2}$

Passaggio 1.62

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

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$4 x^{2}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$6 x^{2}$

Passaggio 1.63

Moltiplica il nuovo quoziente per il divisore.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$4 x^{2}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$6 x^{2}$

$4 x^{3}$

$4 x^{2}$

Passaggio 1.64

L'espressione deve essere sottratta dal dividendo; quindi, cambia tutti i segni in $4 x^{3} - 4 x^{2}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$4 x^{2}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$6 x^{2}$

$4 x^{3}$

$4 x^{2}$

Passaggio 1.65

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

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$4 x^{2}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$6 x^{2}$

$4 x^{3}$

$4 x^{2}$

$2 x^{2}$

Passaggio 1.66

Abbassa i termini successivi dal dividendo originale nel dividendo attuale.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$4 x^{2}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$6 x^{2}$

$4 x^{3}$

$4 x^{2}$

$2 x^{2}$

$5 x$

Passaggio 1.67

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

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$4 x^{2}$

$2 x$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$6 x^{2}$

$4 x^{3}$

$4 x^{2}$

$2 x^{2}$

$5 x$

Passaggio 1.68

Moltiplica il nuovo quoziente per il divisore.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$4 x^{2}$

$2 x$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$6 x^{2}$

$4 x^{3}$

$4 x^{2}$

$2 x^{2}$

$5 x$

$2 x^{2}$

$2 x$

Passaggio 1.69

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

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$4 x^{2}$

$2 x$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$6 x^{2}$

$4 x^{3}$

$4 x^{2}$

$2 x^{2}$

$5 x$

$2 x^{2}$

$2 x$

Passaggio 1.70

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

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$4 x^{2}$

$2 x$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$6 x^{2}$

$4 x^{3}$

$4 x^{2}$

$2 x^{2}$

$5 x$

$2 x^{2}$

$2 x$

$7 x$

Passaggio 1.71

Abbassa i termini successivi dal dividendo originale nel dividendo attuale.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$4 x^{2}$

$2 x$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$6 x^{2}$

$4 x^{3}$

$4 x^{2}$

$2 x^{2}$

$5 x$

$2 x^{2}$

$2 x$

$7 x$

$6$

Passaggio 1.72

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

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$4 x^{2}$

$2 x$

$7$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$6 x^{2}$

$4 x^{3}$

$4 x^{2}$

$2 x^{2}$

$5 x$

$2 x^{2}$

$2 x$

$7 x$

$6$

Passaggio 1.73

Moltiplica il nuovo quoziente per il divisore.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$4 x^{2}$

$2 x$

$7$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$6 x^{2}$

$4 x^{3}$

$4 x^{2}$

$2 x^{2}$

$5 x$

$2 x^{2}$

$2 x$

$7 x$

$6$

$7 x$

$7$

Passaggio 1.74

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

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$4 x^{2}$

$2 x$

$7$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$6 x^{2}$

$4 x^{3}$

$4 x^{2}$

$2 x^{2}$

$5 x$

$2 x^{2}$

$2 x$

$7 x$

$6$

$7 x$

$7$

Passaggio 1.75

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

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$4 x^{2}$

$2 x$

$7$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$6 x^{2}$

$4 x^{3}$

$4 x^{2}$

$2 x^{2}$

$5 x$

$2 x^{2}$

$2 x$

$7 x$

$6$

$7 x$

$7$

$1$

Passaggio 1.76

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

$4 x^{14} + 4 x^{13} + 4 x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 4 x^{2} - 2 x - 7 - \frac{1}{x - 1}$

Passaggio 2

Poiché l'ultimo termine dell'espressione risultante è una frazione, il numeratore della frazione è il resto.

$- 1$