Divide Using Long Polynomial Division (4x^3)÷(2x)

$(4 x^{3}) \div (2 x)$

Step 1

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

$2 x$

$0$

$4 x^{3}$

$0 x^{2}$

$0 x$

$0$

Step 2

Divide the highest order term in the dividend $4 x^{3}$ by the highest order term in divisor $2 x$ .

					$2 x^{2}$
	$2 x$	+	$0$		$4 x^{3}$	+	$0 x^{2}$	+	$0 x$	+	$0$

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 $4 x^{3} + 0$

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

Since the remander is $0$ , the final answer is the quotient.

$2 x^{2}$