Algebra Examples

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

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

Step 1

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

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

Step 2

The first number in the dividend

(3)

$(3)$ is put into the first position of the result area (below the horizontal line).

Step 3

Multiply the newest entry in the result

(3)

$(3)$ by the divisor

(3)

$(3)$ and place the result of

(9)

$(9)$ under the next term in the dividend

(- 2)

$(- 2)$ .

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)

$(7)$ by the divisor

(3)

$(3)$ and place the result of

(21)

$(21)$ under the next term in the dividend

(3)

$(3)$ .

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)

$(24)$ by the divisor

(3)

$(3)$ and place the result of

(72)

$(72)$ under the next term in the dividend

(- 4)

$(- 4)$ .

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}

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

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