Divide Using Synthetic Division (x^3-4x^2+x+6)/(x+1)

$\frac{(x^{3} - 4 x^{2} + x + 6)}{x + 1}$

Step 1

Place the numbers representing the divisor and the dividend into a division-like configuration.

$- 1$	$1$	$- 4$	$1$	$6$
	\xa0			\xa0

Step 2

The first number in the dividend $(1)$ is put into the first position of the result area (below the horizontal line).

Step 3

Multiply the newest entry in the result $(1)$ by the divisor $(- 1)$ and place the result of $(- 1)$ under the next term in the dividend $(- 4)$ .

Step 4

Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.

Step 5

Multiply the newest entry in the result $(- 5)$ by the divisor $(- 1)$ and place the result of $(5)$ under the next term in the dividend $(1)$ .

Step 6

Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.

Step 7

Multiply the newest entry in the result $(6)$ by the divisor $(- 1)$ and place the result of $(- 6)$ under the next term in the dividend $(6)$ .

Step 8

Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.

Step 9

All numbers except the last become the coefficients of the quotient polynomial. The last value in the result line is the remainder.

$1 x^{2} + - 5 x + 6$

Step 10

Simplify the quotient polynomial.

$x^{2} - 5 x + 6$