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Beginning Pre-Calculus for Game Developers by Boris Meltreger, John P. Flynt

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Long Division in Algebra

When you perform divisions involving polynomials, you use an approach similar to the one you employ for arithmetic. To perform such divisions, you group like terms and combine them. You also order the terms relative to their degree in descending order. Likewise, it is helpful if you remove fractions and in other respects simplify the expressions as much as possible before attempting the division.

As an example of a polynomial division problem, consider this expression:

The terms in the numerator appear in descending order with respect to the degrees of their exponents. In this case, the largest degree is that of the square ...

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