Divide Using Synthetic Division (3x^3+4x^2-7x+6)/(x-3)

$\frac{3 x^{3} + 4 x^{2} - 7 x + 6}{x - 3}$

Step 1

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

$3$	$3$	$4$	$- 7$	$6$
	\xa0			\xa0

Step 2

The first number in the dividend $(3)$ is put into the first position of the result area (below the horizontal line).

Step 3

Multiply the newest entry in the result $(3)$ by the divisor $(3)$ and place the result of $(9)$ 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 $(13)$ by the divisor $(3)$ and place the result of $(39)$ 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 $(32)$ by the divisor $(3)$ and place the result of $(96)$ 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.

$3 x^{2} + 13 x + 32 + \frac{102}{x - 3}$