Partial Fraction Practice Problems

In this page partial fraction practice problems we are going to see some practice problems.

Definition:

Any proper fraction can be expressed as the sum of other two simple fractions corresponding to the factors of the denominator of the given fractions. This process is known as partial fractions.

Now let us see how a single fraction is being expressed as sum of two fractions.

Now let us see some of the practice problems.

Questions

Solution

(1) 1/[(x -1) (x + 1)]

Solution

(2) (7 x - 1)/[6 - 5 x + x²]

Solution

(3) (x² +  x + 1)/[(x - 1) (x - 2) (x - 3)]

Solution

(4) 1/[(x - 1) (x + 2)²]

Solution

(5) (x - 2)/[(x + 2) (x - 1)²]

Solution

(6) (x + 1)/[(x - 2)² (x + 3)]

(7) (x² - 6 x + 2)/[x² (x + 2)]

(8) (2 x² - 5 x - 7)/(x - 2)²

(9) (x² - 3)/[(x + 2) (x² + 1)]

(10) (x + 2)/[(x + 1) (x² + 1)]

(11) (7x² - 25 x + 6)/[(x² - 2 x - 1) (3 x- 2)]

(12) (x² + x + 1)/(x² + 2 x + 1)