Algebra Examples

$\frac{2 x}{1 - 2 x}$

Step 1

Reorder $1$ and $- 2 x$ .

$\frac{2 x}{- 2 x + 1}$

Step 2

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

$2 x$

$1$

$2 x$

$0$

Step 3

Divide the highest order term in the dividend $2 x$ by the highest order term in divisor $- 2 x$ .

				-	$1$
-	$2 x$	+	$1$		$2 x$	+	$0$

Step 4

Multiply the new quotient term by the divisor.

Step 5

The expression needs to be subtracted from the dividend, so change all the signs in $2 x - 1$

Step 6

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

Step 7

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

$- 1 + \frac{1}{- 2 x + 1}$