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