Write the form of the partial fraction decomposition for the following rational expression. $\frac { 10 } { x ^ { 2 } + 10 x }$
A) $\frac { A } { x ^ { 2 } } + \frac { B } { 10 x }$
B) $\frac { A } { x } + \frac { B } { x + 10 }$
C) $\frac { A x + B } { x ^ { 2 } } + \frac { C } { x + 10 }$
D) $\frac { A x + B } { x ^ { 2 } } + \frac { C } { 10 x }$
E) $\frac { A } { x ^ { 2 } } + \frac { B } { x + 10 }$

Question

Quizplus · Accepted Answer

The given expression can be factored as $\frac{10}{x(x+10)}$, which matches the form in choice B, where each factor in the denominator is represented by a separate term in the decomposition.

Write the Form of the Partial Fraction Decomposition for the Following