Write the form of the partial fraction decomposition of the rational expression. Do not solve for the constants.

Question

Quizplus · Accepted Answer

The given expression does not have any repeated factors in the denominator, so the partial fraction decomposition will be in the form of:

$\frac{N(x)}{(x+a_1)(x+a_2)\cdots(x+a_n)} = \frac{A_1}{x+a_1} + \frac{A_2}{x+a_2} + \cdots + \frac{A_n}{x+a_n}$

where $A_1, A_2, \ldots, A_n$ are constants to be determined. The answer choice C matches this form with distinct factors $(x+1),(x+2),(x+3)$ in the denominator.

Write the Form of the Partial Fraction Decomposition of the Rational