Decompose Partial Fractions

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What is Partial Fraction Decomposition?

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Partial Fraction Decomposition is a method used to express a rational function as a sum of simpler fractions, making it easier to integrate or analyze.

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What is the first step in Partial Fraction Decomposition?

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The first step is to factor the denominator of the rational function completely.

Tags

CCSS.HSA.APR.D.6

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What is the form of partial fractions for a linear factor?

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Tags

CCSS.HSA.APR.D.6

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What is the form of partial fractions for a repeated linear factor?

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Tags

CCSS.HSA.APR.D.6

Front

What is the form of partial fractions for a quadratic factor?

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Tags

CCSS.HSA.APR.D.6

Front

Back

Tags

CCSS.HSA.APR.D.6

Front

What is the purpose of finding the coefficients in partial fraction decomposition?

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Finding the coefficients allows us to express the original rational function as a sum of simpler fractions, which can be easily integrated or manipulated.

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What is the Linear Factor Method in partial fractions?

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The Linear Factor Method is used when the denominator consists of distinct linear factors, allowing for simple fraction decomposition.

Tags

CCSS.HSA.APR.D.6

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What is the Repeated Linear Factor Method?

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The Repeated Linear Factor Method is used when the denominator has repeated linear factors, requiring multiple terms for each factor.

Tags

CCSS.HSA.APR.D.7

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What is the Quadratic Factor Method?

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The Quadratic Factor Method is used when the denominator includes irreducible quadratic factors, requiring a linear numerator.

Tags

CCSS.HSA.APR.D.6