How do you divide #(x^4+x^3-1)div(x-2)# using synthetic division?
The key: don't leave out the "zero" terms.
Bring down the "1" from the lead coefficient. After that, multiply by 2.
Now add 1 + 2.
Multiply by 2. Put it into the next column, and add:
At each step now, multiply by 2, put it into the next column, and add that column. You should put a 12 into the 4th column. I'll let you finish it. If you do it right, the last number in the last row will be a 23.