Finite Math Examples

$\frac{6 x + 2}{x}$

Step 1

Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of $0$ .

$x$

$0$

$6 x$

$2$

Step 2

Divide the highest order term in the dividend $6 x$ by the highest order term in divisor $x$ .

					$6$
	$x$	+	$0$		$6 x$	+	$2$

Step 3

Multiply the new quotient term by the divisor.

Step 4

The expression needs to be subtracted from the dividend, so change all the signs in $6 x + 0$

Step 5

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

Step 6

The final answer is the quotient plus the remainder over the divisor.

$6 + \frac{2}{x}$