# Division of Polynomials

Long division of polynomials is similar to dividing two
numbers using long division.

Here is an example of long division with numbers :

**Example 1:** Use long division to find:

** Solution : **

The first step is to divide x into 2x^{2} (this is how we get 2x). Remember, you
must then

multiply 2x by x + 2 which gives us 2x^{2} + 4x . We then subtract 2x^{2} + 4x from

2x^{2} −3x + 4 . We now go back to the top and divide x into −7x + 4 . Multiply -7
by

x + 2 to get −7x −14 . Lastly, we subtract −7x −14 from −7x + 4 to get 18 (this
is the

remainder).

**Example 2:** Use long division to find

** Solution :**

**Practice Problems**

Use long division – be sure to write any remainders appropriately.

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