Divide Using long division

Question

Divide using long division. Write the result as dividend = (divisor)(quotient) + remainder.

(3x³ + 14x² − 2x − 37) ÷ (x + 4)

Answer 1

3x² + 2x - 10 + 3/(x+4)

____________________________

x + 4 ) 3x3 + 14x² - 2x - 37

3x³ + 12x²

------------------- {subtract}

2x² - 2x

2x² + 8x

--------------- (subtract)

-10x - 37

-10x - 40

-------------- {subtract)

. 3

STEPS:

1) Divide

2) Multiply

3) Subtract

4) Drop down the next digit.

Answer 2

Lay out the division problem like you would "old school" long division this:

First, starting with the "x" and the "3x³", you ask "what do I need to multiply x by to get to 3x³?" The answer is 3x². So you put 3x² above the division symbol. Then multiply 3x² by x and put the result below and multiply 3x² by 4 and put the result below. Then subtract. Repeat until finished like this:

So the answer is 3x² + 2x - 10 remainder 3. You can also write this as 3x² + 2x - 10 + 3/(x + 4)