Divide Using Long Polynomial Division (7x+3)÷(x+2)

$(7 x + 3) \div (x + 2)$

Step 1

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

$x$

$2$

$7 x$

$3$

Step 2

Divide the highest order term in the dividend $7 x$ by the highest order term in divisor $x$ .

					$7$
	$x$	+	$2$		$7 x$	+	$3$

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 $7 x + 14$

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.

$7 - \frac{11}{x + 2}$