Divide Using Long Polynomial Division (5x+11)÷(x+3)

$(5 x + 11) \div (x + 3)$

Step 1

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

$x$

$3$

$5 x$

$11$

Step 2

Divide the highest order term in the dividend $5 x$ by the highest order term in divisor $x$ .

					$5$
	$x$	+	$3$		$5 x$	+	$11$

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 $5 x + 15$

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.

$5 - \frac{4}{x + 3}$