Question

Write out the form of the partial fraction decomposition of the function. Do not determine the numerical values of the coefficients.

Answer 1

Step 1:

(a)

The expression is .

Factorize the denominator.

is a linear factor repeated 3 times, so write three partial fractions.

is square factor, not repeated, so write partial fraction with a linear numerator.

Step 2:

(b)

The expression is .

Factorize the denominator.

Using partial fractions formula .

Solution:

(a) .

(b) .