Algebra Examples

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

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

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

$0$ .

x

$x$

2

$2$

x^{2}

$x^{2}$

2 x

$2 x$

1

$1$

Step 2

Divide the highest order term in the dividend

x^{2}

$x^{2}$ by the highest order term in divisor

x

$x$ .

					$x$ $x$
	$x$ $x$	-	$2$ $2$		$x^{2}$ $x^{2}$	-	$2 x$ $2 x$	+	$1$ $1$

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

x^{2} - 2 x

$x^{2} - 2 x$

Step 5

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

Step 6

Pull the next term from the original dividend down into the current dividend.

Step 7

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

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

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

Enter YOUR Problem