Divide Using Synthetic Division (8x^3+x^2-5)÷(x-6)

$(8 x^{3} + x^{2} - 5) \div (x - 6)$

Step 1

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

$6$	$8$	$1$	$0$	$- 5$
	\xa0			\xa0

Step 2

The first number in the dividend $(8)$ is put into the first position of the result area (below the horizontal line).

Step 3

Multiply the newest entry in the result $(8)$ by the divisor $(6)$ and place the result of $(48)$ under the next term in the dividend $(1)$ .

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 $(49)$ by the divisor $(6)$ and place the result of $(294)$ under the next term in the dividend $(0)$ .

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 $(294)$ by the divisor $(6)$ and place the result of $(1764)$ under the next term in the dividend $(- 5)$ .

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.

$8 x^{2} + 49 x + 294 + \frac{1759}{x - 6}$