Finite Math Examples

$\frac{3 x^{3} - 2 x^{2} + 3 x - 4}{x - 3}$

Step 1

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

$3$	$3$	$- 2$	$3$	$- 4$

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 $(3)$ and place the result of $(9)$ 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 $(3)$ and place the result of $(21)$ under the next term in the dividend $(3)$ .

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 $(24)$ by the divisor $(3)$ and place the result of $(72)$ under the next term in the dividend $(- 4)$ .

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.

$3 x^{2} + 7 x + 24 + \frac{68}{x - 3}$

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