How do you divide #(x^3 + x^2 - x - 1)/(x - 1) # using polynomial long division?
Here's an animation of the process:
Write the dividend under the bar and the divisor to the left. Each is written in descending order of powers of
Choose the first term of the quotient to cause leading terms to match. In our example, we choose
Write the product of this term and the divisor below the dividend and subtract to give a remainder (
Bring down the next term (
Choose the next term (
Stop when there is nothing more to bring down from the dividend and the running remainder has lower degree than the divisor.
In our example, the division is exact. We are left with no remainder.