Algebra Examples

$3 x^{2} - x - 2$ by $x + 4$

Step 1

Write the problem as a mathematical expression.

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

Step 2

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

$- 4$	$3$	$- 1$	$- 2$

Step 3

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

Step 4

Multiply the newest entry in the result $(3)$ by the divisor $(- 4)$ and place the result of $(- 12)$ under the next term in the dividend $(- 1)$ .

Step 5

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 6

Multiply the newest entry in the result $(- 13)$ by the divisor $(- 4)$ and place the result of $(52)$ under the next term in the dividend $(- 2)$ .

Step 7

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 8

All numbers except the last become the coefficients of the quotient polynomial. The last value in the result line is the remainder.

$(3) x - 13 + \frac{50}{x + 4}$

Step 9

Simplify the quotient polynomial.

$3 x - 13 + \frac{50}{x + 4}$