Divide Using Synthetic Division (3x^3+4x-32)÷(x-2)

$(3 x^{3} + 4 x - 32) \div (x - 2)$

Step 1

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

$2$	$3$	$0$	$4$	$- 32$
	\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 $(2)$ and place the result of $(6)$ under the next term in the dividend $(0)$ .

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 $(6)$ by the divisor $(2)$ and place the result of $(12)$ under the next term in the dividend $(4)$ .

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 $(16)$ by the divisor $(2)$ and place the result of $(32)$ under the next term in the dividend $(- 32)$ .

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.

$3 x^{2} + 6 x + 16$