What are some examples of long division with polynomials?
Here are a couple of examples...
Here's a sample animation of long dividing
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.
Instead of writing out all of the terms in full, you can just write out and divide the coefficients. For example:
Here we divide