Divide Using Synthetic Division (-4x^3-18x^2+7x-15)/(x+5)

$\frac{- 4 x^{3} - 18 x^{2} + 7 x - 15}{x + 5}$

Step 1

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

$- 5$	$- 4$	$- 18$	$7$	$- 15$
	\xa0			\xa0

Step 2

The first number in the dividend $(- 4)$ is put into the first position of the result area (below the horizontal line).

Step 3

Multiply the newest entry in the result $(- 4)$ by the divisor $(- 5)$ and place the result of $(20)$ under the next term in the dividend $(- 18)$ .

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 $(2)$ by the divisor $(- 5)$ and place the result of $(- 10)$ under the next term in the dividend $(7)$ .

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 $(- 3)$ by the divisor $(- 5)$ and place the result of $(15)$ under the next term in the dividend $(- 15)$ .

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.

$- 4 x^{2} + 2 x - 3$