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How can we divide a polynomial
We can give each polynomial a name:

The top polynomial is the numerator
The bottom polynomial is the denominator
Both polynomials should have the "higher order" terms first (those with the largest exponents, like the "2" in x2).




Divide the first term of the numerator by the first term of the denominator, and put that in the answer.

Multiply the denominator by that answer, put that below the numerator.

Subtract to create a new polynomial


Repeat, using the new polynomial.


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