Divide Using Synthetic Division (x^3+5x^2+3x-10)/(x+4)

$\frac{x^{3} + 5 x^{2} + 3 x - 10}{x + 4}$

Step 1

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

$- 4$	$1$	$5$	$3$	$- 10$
	\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 $(- 4)$ and place the result of $(- 4)$ 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 $(1)$ by the divisor $(- 4)$ and place the result of $(- 4)$ under the next term in the dividend $(3)$ .

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 $(- 1)$ by the divisor $(- 4)$ and place the result of $(4)$ under the next term in the dividend $(- 10)$ .

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.

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

Step 10

Simplify the quotient polynomial.

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