INTRODUCTORY EXERCISES - Partial Fractional Decompositions

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(1) Find the constants A and B so that the given equation is true on its domain.

 (a)    9x + 21          A         B
     -------------- = ------- + -------
     (x + 5)(x - 3)    x + 5     x - 3


 (b)      3x2 + x          A      Bx + C
      --------------- = ------ + -------
      (x - 2)(x2 + 3)    x - 2    x2 + 3

( Click On SOLUTION To See The Answer )

(2) Decompose each of the following fractions into partial fractions.

(a) x2 + 1
    -------
    x3 + x2

(b)      x2
    -----------
    x2 - 3x + 2

( SOLUTION )

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