# How do you complete a partial fraction decomposition? Specifically, when a binomial is over a quadratic?

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How do you complete a partial fraction decomposition? Specifically, when a binomial is over a quadratic?

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Step 1

Let an example to understand partial fraction decomposition:

Step 2

If numerator have maximum power equal or more than denominator then numerator is divided

by the denominator before writing its decomposition form.

Partial fraction decomposition formulas: help_outlineImage TranscriptioncloseВ ax +b A (х — р)(х — q) х-р х-д В C ax +b A (x-p x-p (x-p) axbxc (x-p (x-) x-p (x-p) x-q (x-p В C A axbxc Bx+C A (x-p(xqx+r) x + qx +r х — р fullscreen
Step 3

Solving the above...

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### Algebra 