대수 예제

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

단계 1

나머지를 계산하려면 먼저 다항식을 나눕니다.

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단계 1.1

다항식을 나눗셈 형태로 적습니다. 각 지수에 대하여 항이 없는 경우 값이 $0$ 인 항을 삽입합니다.

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

단계 1.2

피제수 $4 x^{15}$ 의 고차항을 제수 $x$ 의 고차항으로 나눕니다.

$4 x^{14}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

단계 1.3

새로운 몫 값에 제수를 곱합니다.

$4 x^{14}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

단계 1.4

식을 피제수에서 빼야 하므로 $4 x^{15} - 4 x^{14}$ 의 모든 부호를 바꿉니다.

$4 x^{14}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

단계 1.5

부호를 바꾼 뒤, 곱한 다항식의 마지막 피제수를 더해 새로운 피제수를 구합니다.

$4 x^{14}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

단계 1.6

원래 피제수의 다음 항을 아래로 내려 현재 피제수로 보냅니다.

$4 x^{14}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

단계 1.7

피제수 $4 x^{14}$ 의 고차항을 제수 $x$ 의 고차항으로 나눕니다.

$4 x^{14}$

$4 x^{13}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

단계 1.8

새로운 몫 값에 제수를 곱합니다.

$4 x^{14}$

$4 x^{13}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

단계 1.9

식을 피제수에서 빼야 하므로 $4 x^{14} - 4 x^{13}$ 의 모든 부호를 바꿉니다.

$4 x^{14}$

$4 x^{13}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

단계 1.10

부호를 바꾼 뒤, 곱한 다항식의 마지막 피제수를 더해 새로운 피제수를 구합니다.

$4 x^{14}$

$4 x^{13}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

단계 1.11

원래 피제수의 다음 항을 아래로 내려 현재 피제수로 보냅니다.

$4 x^{14}$

$4 x^{13}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

단계 1.12

피제수 $4 x^{13}$ 의 고차항을 제수 $x$ 의 고차항으로 나눕니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

단계 1.13

새로운 몫 값에 제수를 곱합니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

단계 1.14

식을 피제수에서 빼야 하므로 $4 x^{13} - 4 x^{12}$ 의 모든 부호를 바꿉니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

단계 1.15

부호를 바꾼 뒤, 곱한 다항식의 마지막 피제수를 더해 새로운 피제수를 구합니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

단계 1.16

원래 피제수의 다음 항을 아래로 내려 현재 피제수로 보냅니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

단계 1.17

피제수 $4 x^{12}$ 의 고차항을 제수 $x$ 의 고차항으로 나눕니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

단계 1.18

새로운 몫 값에 제수를 곱합니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

단계 1.19

식을 피제수에서 빼야 하므로 $4 x^{12} - 4 x^{11}$ 의 모든 부호를 바꿉니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

단계 1.20

부호를 바꾼 뒤, 곱한 다항식의 마지막 피제수를 더해 새로운 피제수를 구합니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

단계 1.21

원래 피제수의 다음 항을 아래로 내려 현재 피제수로 보냅니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

단계 1.22

피제수 $4 x^{11}$ 의 고차항을 제수 $x$ 의 고차항으로 나눕니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

단계 1.23

새로운 몫 값에 제수를 곱합니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

단계 1.24

식을 피제수에서 빼야 하므로 $4 x^{11} - 4 x^{10}$ 의 모든 부호를 바꿉니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

단계 1.25

부호를 바꾼 뒤, 곱한 다항식의 마지막 피제수를 더해 새로운 피제수를 구합니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

단계 1.26

원래 피제수의 다음 항을 아래로 내려 현재 피제수로 보냅니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

단계 1.27

피제수 $4 x^{10}$ 의 고차항을 제수 $x$ 의 고차항으로 나눕니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

단계 1.28

새로운 몫 값에 제수를 곱합니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

단계 1.29

식을 피제수에서 빼야 하므로 $4 x^{10} - 4 x^{9}$ 의 모든 부호를 바꿉니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

단계 1.30

부호를 바꾼 뒤, 곱한 다항식의 마지막 피제수를 더해 새로운 피제수를 구합니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

단계 1.31

원래 피제수의 다음 항을 아래로 내려 현재 피제수로 보냅니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

단계 1.32

피제수 $4 x^{9}$ 의 고차항을 제수 $x$ 의 고차항으로 나눕니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

단계 1.33

새로운 몫 값에 제수를 곱합니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

단계 1.34

식을 피제수에서 빼야 하므로 $4 x^{9} - 4 x^{8}$ 의 모든 부호를 바꿉니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

단계 1.35

부호를 바꾼 뒤, 곱한 다항식의 마지막 피제수를 더해 새로운 피제수를 구합니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

단계 1.36

원래 피제수의 다음 항을 아래로 내려 현재 피제수로 보냅니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

단계 1.37

피제수 $4 x^{8}$ 의 고차항을 제수 $x$ 의 고차항으로 나눕니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

단계 1.38

새로운 몫 값에 제수를 곱합니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

단계 1.39

식을 피제수에서 빼야 하므로 $4 x^{8} - 4 x^{7}$ 의 모든 부호를 바꿉니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

단계 1.40

부호를 바꾼 뒤, 곱한 다항식의 마지막 피제수를 더해 새로운 피제수를 구합니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

단계 1.41

원래 피제수의 다음 항을 아래로 내려 현재 피제수로 보냅니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

단계 1.42

피제수 $4 x^{7}$ 의 고차항을 제수 $x$ 의 고차항으로 나눕니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

단계 1.43

새로운 몫 값에 제수를 곱합니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

단계 1.44

식을 피제수에서 빼야 하므로 $4 x^{7} - 4 x^{6}$ 의 모든 부호를 바꿉니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

단계 1.45

부호를 바꾼 뒤, 곱한 다항식의 마지막 피제수를 더해 새로운 피제수를 구합니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

단계 1.46

원래 피제수의 다음 항을 아래로 내려 현재 피제수로 보냅니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

단계 1.47

피제수 $4 x^{6}$ 의 고차항을 제수 $x$ 의 고차항으로 나눕니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

단계 1.48

새로운 몫 값에 제수를 곱합니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

단계 1.49

식을 피제수에서 빼야 하므로 $4 x^{6} - 4 x^{5}$ 의 모든 부호를 바꿉니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

단계 1.50

부호를 바꾼 뒤, 곱한 다항식의 마지막 피제수를 더해 새로운 피제수를 구합니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

단계 1.51

원래 피제수의 다음 항을 아래로 내려 현재 피제수로 보냅니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

단계 1.52

피제수 $4 x^{5}$ 의 고차항을 제수 $x$ 의 고차항으로 나눕니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

단계 1.53

새로운 몫 값에 제수를 곱합니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

단계 1.54

식을 피제수에서 빼야 하므로 $4 x^{5} - 4 x^{4}$ 의 모든 부호를 바꿉니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

단계 1.55

부호를 바꾼 뒤, 곱한 다항식의 마지막 피제수를 더해 새로운 피제수를 구합니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

단계 1.56

원래 피제수의 다음 항을 아래로 내려 현재 피제수로 보냅니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

단계 1.57

피제수 $4 x^{4}$ 의 고차항을 제수 $x$ 의 고차항으로 나눕니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

단계 1.58

새로운 몫 값에 제수를 곱합니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

단계 1.59

식을 피제수에서 빼야 하므로 $4 x^{4} - 4 x^{3}$ 의 모든 부호를 바꿉니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

단계 1.60

부호를 바꾼 뒤, 곱한 다항식의 마지막 피제수를 더해 새로운 피제수를 구합니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

단계 1.61

원래 피제수의 다음 항을 아래로 내려 현재 피제수로 보냅니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$6 x^{2}$

단계 1.62

피제수 $4 x^{3}$ 의 고차항을 제수 $x$ 의 고차항으로 나눕니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$4 x^{2}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$6 x^{2}$

단계 1.63

새로운 몫 값에 제수를 곱합니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$4 x^{2}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$6 x^{2}$

$4 x^{3}$

$4 x^{2}$

단계 1.64

식을 피제수에서 빼야 하므로 $4 x^{3} - 4 x^{2}$ 의 모든 부호를 바꿉니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$4 x^{2}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$6 x^{2}$

$4 x^{3}$

$4 x^{2}$

단계 1.65

부호를 바꾼 뒤, 곱한 다항식의 마지막 피제수를 더해 새로운 피제수를 구합니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$4 x^{2}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$6 x^{2}$

$4 x^{3}$

$4 x^{2}$

$2 x^{2}$

단계 1.66

원래 피제수의 다음 항을 아래로 내려 현재 피제수로 보냅니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$4 x^{2}$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$6 x^{2}$

$4 x^{3}$

$4 x^{2}$

$2 x^{2}$

$5 x$

단계 1.67

피제수 $- 2 x^{2}$ 의 고차항을 제수 $x$ 의 고차항으로 나눕니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$4 x^{2}$

$2 x$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$6 x^{2}$

$4 x^{3}$

$4 x^{2}$

$2 x^{2}$

$5 x$

단계 1.68

새로운 몫 값에 제수를 곱합니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$4 x^{2}$

$2 x$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$6 x^{2}$

$4 x^{3}$

$4 x^{2}$

$2 x^{2}$

$5 x$

$2 x^{2}$

$2 x$

단계 1.69

식을 피제수에서 빼야 하므로 $- 2 x^{2} + 2 x$ 의 모든 부호를 바꿉니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$4 x^{2}$

$2 x$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$6 x^{2}$

$4 x^{3}$

$4 x^{2}$

$2 x^{2}$

$5 x$

$2 x^{2}$

$2 x$

단계 1.70

부호를 바꾼 뒤, 곱한 다항식의 마지막 피제수를 더해 새로운 피제수를 구합니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$4 x^{2}$

$2 x$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$6 x^{2}$

$4 x^{3}$

$4 x^{2}$

$2 x^{2}$

$5 x$

$2 x^{2}$

$2 x$

$7 x$

단계 1.71

원래 피제수의 다음 항을 아래로 내려 현재 피제수로 보냅니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$4 x^{2}$

$2 x$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$6 x^{2}$

$4 x^{3}$

$4 x^{2}$

$2 x^{2}$

$5 x$

$2 x^{2}$

$2 x$

$7 x$

$6$

단계 1.72

피제수 $- 7 x$ 의 고차항을 제수 $x$ 의 고차항으로 나눕니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$4 x^{2}$

$2 x$

$7$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$6 x^{2}$

$4 x^{3}$

$4 x^{2}$

$2 x^{2}$

$5 x$

$2 x^{2}$

$2 x$

$7 x$

$6$

단계 1.73

새로운 몫 값에 제수를 곱합니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$4 x^{2}$

$2 x$

$7$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$6 x^{2}$

$4 x^{3}$

$4 x^{2}$

$2 x^{2}$

$5 x$

$2 x^{2}$

$2 x$

$7 x$

$6$

$7 x$

$7$

단계 1.74

식을 피제수에서 빼야 하므로 $- 7 x + 7$ 의 모든 부호를 바꿉니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$4 x^{2}$

$2 x$

$7$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$6 x^{2}$

$4 x^{3}$

$4 x^{2}$

$2 x^{2}$

$5 x$

$2 x^{2}$

$2 x$

$7 x$

$6$

$7 x$

$7$

단계 1.75

부호를 바꾼 뒤, 곱한 다항식의 마지막 피제수를 더해 새로운 피제수를 구합니다.

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$4 x^{2}$

$2 x$

$7$

$x$

$1$

$4 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$6 x^{2}$

$5 x$

$6$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$6 x^{2}$

$4 x^{3}$

$4 x^{2}$

$2 x^{2}$

$5 x$

$2 x^{2}$

$2 x$

$7 x$

$6$

$7 x$

$7$

$1$

단계 1.76

최종 답은 몫에 제수 분의 나머지를 더한 값입니다.

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

단계 2

결과식의 마지막 항이 분수이므로, 이 분수의 분자가 나머지입니다.

$- 1$