# How do you use synthetic division to divide #2x^3-3x^2-5x-12div x-3#?

##### 2 Answers

#### Explanation:

The first thing we must do is find the value that makes

Now, we set up the problem:

If we have

3*_**_**_**_**_***_**

Now, we bring down the

3*_**_**_**_**_**_*

Now we add the

3*_**_**_**_*_*_*** #12#_**_

I just did the whole thing, and I hope you can see what I did. I took the sum of the answer and multiplied it to the divisor,

Anyways, we take the leftover number as the bottom, the

#### Explanation:

This answer uses polynomial long division - for synthetic division, please see the other answer!

We write the polynomial and its divisor down in long division form and work through the normal steps of long division:

Then we guess our first term in the quotient, which should subtract from the first term in the dividend:

After performing the subraction, we a left with our first remainder. We next drop the remaining terms in the dividend and guess our next term in the quotient:

and repeat for the last:

Which confirms that