Divide Using Synthetic Division (x^3-343)/(x-7)

$\frac{x^{3} - 343}{x - 7}$

Step 1

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

$7$	$1$	$0$	$0$	$- 343$
	\xa0			\xa0

Step 2

The first number in the dividend $(1)$ is put into the first position of the result area (below the horizontal line).

Step 3

Multiply the newest entry in the result $(1)$ by the divisor $(7)$ and place the result of $(7)$ 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 $(7)$ by the divisor $(7)$ and place the result of $(49)$ 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 $(49)$ by the divisor $(7)$ and place the result of $(343)$ under the next term in the dividend $(- 343)$ .

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.

$1 x^{2} + 7 x + 49$

Step 10

Simplify the quotient polynomial.

$x^{2} + 7 x + 49$