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Standards/Math/Alabama/PC.18

PC.18

PC Precalculus
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PC.TF

Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated cases, a computer algebra system.

Example Problems
Find ∫5x(4+x2)dx.
Find ∫(x​)5dx.
Find ∫7x(5−x2)dx.
Khan Academy Resources
Adding & subtracting rational expressionsIntro to rational expressionsIntro to adding & subtracting rational expressionsAdd & subtract rational expressionsMultiply & divide rational expressionsAdd & subtract rational expressions (basic)Multiply & divide rational expressions: Error analysisSubtracting rational expressionsAdding rational expression: unlike denominatorsSubtracting rational expressions: factored denominatorsAdding & subtracting rational expressions: like denominatorsMultiplying & dividing rational expressions: monomialsSubtracting rational expressions: unlike denominatorsIntro to adding rational expressions with unlike denominators
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