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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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