Divide Using Synthetic Division (8n^2-26n+20)÷(n-2)

$(8 n^{2} - 26 n + 20) \div (n - 2)$

Step 1

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

$2$	$8$	$- 26$	$20$
	\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 $(2)$ and place the result of $(16)$ under the next term in the dividend $(- 26)$ .

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 $(- 10)$ by the divisor $(2)$ and place the result of $(- 20)$ under the next term in the dividend $(20)$ .

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

All numbers except the last become the coefficients of the quotient polynomial. The last value in the result line is the remainder.

$(8) n - 10$

Step 8

Simplify the quotient polynomial.

$8 n - 10$