# How do you divide #(3x^3+4x^2+x+1)÷(x-1)#?

##### 1 Answer

#### Explanation:

You can use Remainder Theorem or Synthetic Division to do so. I will use the Synthetic Division since it is quicker and easier (but it only works for a polynomial divided by a binomial).

The first step in using theSynthetic Division is to find out what makes the binomial

Then, you determine the co-efficients for every term in your polynomial (you MUST also include co-efficients of

Then, you do this little trick where you bring down the first number (

Now, the remainder has the co-efficients on the third line (

All-in-all, the answer is:

I know the description was confusing, which is why I have attached a link to a video that will do a better job explaining it to you!