Decompose Partial Fractions

Front

What is Partial Fraction Decomposition?

Back

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.

Front

What is the first step in Partial Fraction Decomposition?

Back

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

Front

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

Back

Front

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

Back

Front

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

Back

Front

Back

Front

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

Back

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

Front

What is the Linear Factor Method in partial fractions?

Back

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

Front

What is the Repeated Linear Factor Method?

Back

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

Front

What is the Quadratic Factor Method?

Back

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