# Dividing Polynomials

A polynomial looks like this:

example of a polynomial

this one has 3 terms

### Dividing

Sometimes it is easy to divide a polynomial by splitting it at the "+" and "−" signs in the top part, like this (press play):

When the polynomial was split into parts we still had to keep the "/3" under each one.

Then the highlighted parts were "reduced" (^{6}/_{3}** = 2** and ^{3}/_{3}** = 1**) to leave the answer of **2x-1**

Here is another, slightly more complicated, example:

*What happened?*

- The 1st Term had
**x**above and^{2}**x**below, which together becomes just**x** - The 2nd Term had
**x**above and below, so they canceled each other out - We couldn't simplify "
^{1}/_{3x}" any further.

That is as far as we can get. But the answer is still "simpler"

Note: the result is a valid answer but is **not** a polynomial, because the last term (1/3x) has division by a variable (x).

Now, sometimes it helps to rearrange the top polynomial before dividing, as in this example:

## Long Division

If none of those methods work, we may need to use Polynomial Long Division.