Divide Using Synthetic Division (5x^2+x-22)÷(x-2)

$(5 x^{2} + x - 22) \div (x - 2)$

Step 1

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

$2$	$5$	$1$	$- 22$
	\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 $(2)$ and place the result of $(10)$ 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 $(11)$ by the divisor $(2)$ and place the result of $(22)$ under the next term in the dividend $(- 22)$ .

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.

$(5) x + 11$

Step 8

Simplify the quotient polynomial.

$5 x + 11$