Partial Fraction Decomposition: Improper Fractions

In this video I cover how to decompose improper fractions. Improper fractions are fractions where the degree (or the highest power) of the denominator is smaller than or equal to the degree of the numerator. For improper fractions the techniques used in my earlier videos on proper fractions don't apply but we can first break down improper fractions to proper fractions by performing polynomial long division.

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[mes]

I don't always decompose improper fractions but when I do I usually perform polynomial long division first ;)

[MrKutbidin]

what happens if it was x^3-2x^2+x-5 on the denominator where that a.b!=-2 ?

[SOBIESKI_freedom]

Just wondering if you could do a tutorial on polynomial long division with TWO variables. They've always stumped me.