Question
Asked Dec 23, 2019
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Write an informal explanation of partial fraction decomposition.

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Expert Answer

Step 1

Partial-fraction decomposition is the process of starting with the simplified answer and taking it back apart, of "decomposing" the final expression into its initial polynomial fractions.

For example: 

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2(x+1) 2, 1 1(x) 2x+2 2x+2+x 3x+2 3x+2 x+1 x(x+1) (x+1)(x) x(x+1) x(x+1) x(x+1) x(x+1) +x

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Step 2

To decompose a fraction, you first factor the denominator. Let's work backwards from the example above. The denominator is x2 + x, which factors as x(x + 1).

Step 3

Then you write the fractions with one of the factors for each of the denominators. Of course, you don't know w...

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+t х х+1

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