Algebra Examples

(2 x^{3} - x^{2} - 48 x + 15) \div (x - 5)

$(2 x^{3} - x^{2} - 48 x + 15) \div (x - 5)$

Step 1

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

$5$ $5$	$2$ $2$	$- 1$ $- 1$	$- 48$ $- 48$	$15$ $15$

Step 2

The first number in the dividend

(2)

$(2)$ is put into the first position of the result area (below the horizontal line).

Step 3

Multiply the newest entry in the result

(2)

$(2)$ by the divisor

(5)

$(5)$ and place the result of

(10)

$(10)$ under the next term in the dividend

(- 1)

$(- 1)$ .

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

(9)

$(9)$ by the divisor

(5)

$(5)$ and place the result of

(45)

$(45)$ under the next term in the dividend

(- 48)

$(- 48)$ .

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

(- 3)

$(- 3)$ by the divisor

(5)

$(5)$ and place the result of

(- 15)

$(- 15)$ under the next term in the dividend

(15)

$(15)$ .

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.

2 x^{2} + 9 x - 3

$2 x^{2} + 9 x - 3$

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