MODERATE EXERCISES - Partial Fractional Decompositions

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

 3x2 + 7x + 1   A     B        C
 ------------ = - + ----- - --------
  x(x + 1)2     x   x + 1   (x + 1)2
( Click On HINT To Get Some Help , Click On SOLUTION To See The Answer )

(2) Decompose the following fraction into partial fractions. 

 8x - 3
 -------
 2x2 - x
( SOLUTION )

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


  5x2 - 9x + 19      A      Bx + C
 --------------- = ----- + --------
 (x - 4)(x2 + 5)   x - 4    x2 + 5
( SOLUTION )

(4) Decompose the following fraction into partial fractions. 

      3x - 13
   ------------
   6x2 - x - 12
( SOLUTION )
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