Divide Using Synthetic Division (5x^3+2x^2-6)÷(x-1)

$(5 x^{3} + 2 x^{2} - 6) \div (x - 1)$

Step 1

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

$1$	$5$	$2$	$0$	$- 6$
	\xa0			\xa0

Step 2

The first number in the dividend $(5)$ is put into the first position of the result area (below the horizontal line).

Step 3

Multiply the newest entry in the result $(5)$ by the divisor $(1)$ and place the result of $(5)$ under the next term in the dividend $(2)$ .

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 $(7)$ by the divisor $(1)$ and place the result of $(7)$ 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 $(7)$ by the divisor $(1)$ and place the result of $(7)$ 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.

$5 x^{2} + 7 x + 7 + \frac{1}{x - 1}$