Divide Using Synthetic Division (x^2+5x+6)÷(x+1)

$(x^{2} + 5 x + 6) \div (x + 1)$

Step 1

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

$- 1$	$1$	$5$	$6$
	\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 $(5)$ .

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 $(4)$ by the divisor $(- 1)$ and place the result of $(- 4)$ under the next term in the dividend $(6)$ .

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

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

$(1) x + 4 + \frac{2}{x + 1}$

Step 8

Simplify the quotient polynomial.

$x + 4 + \frac{2}{x + 1}$