Partial Fractions | Repeated Linear Factors

Partial Fraction Decomposition Form for Repeated Factors:
A factor is repeated if it has multiplicity greater than 1.

If the repeated factor is linear, then each of these rational expressions will have a constant numerator coefficient.

If the factor is to the power of 3. Therefore, 3 rational expressions are needed in the partial fraction decomposition, with each of the denominator is raised to a different positive integer power up to 3, wih 1, 2 and 3 respectively. Since it's linear factor, each of these rational expressions will have a constant numerator coefficient.