Explanation:
In algebra, polynomial long division is an algorithm for dividing a polynomial by another polynomial of
the same or lower degree, a generalized version of the familiar arithmetic technique
called long division. It can be done easily by hand, because it separates
an otherwise complex division problem into smaller ones.
The quotient and remainder can then be determined as follows:
1. Divide
the first term of the numerator by the highest term of the denominator. Place
the result above the bar.
2. Multiply
the denominator by the result just obtained (the first term of the eventual
quotient). Write the result under the first two terms of the numerator.
3. Subtract
the product just obtained from the appropriate terms of the original numerator,
and write the result underneath. This can be tricky at times, because of the
sign. Then, "bring down" the next term from the numerator.
4. Repeat
the previous three steps, except this time use the two terms that have just
been written as the numerator.
Repeat step 4. Till there is nothing to "pull down". (Our solved example in
mathguru.com uses this concept).
The polynomial above the bar is the quotient, and the number left
over is the remainder.
http://en.wikipedia.org/wiki/Polynomial_long_division
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above explanation is copied from Wikipedia, the free encyclopedia and is
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License.