Which Fraction Appears in the Partial Fraction Decomposition Of $\frac { 5 x ^ { 2 } + 49 x + 108 } { x ( x + 6 ) ^ { 2 } }$

question 3

Multiple Choice

Which fraction appears in the partial fraction decomposition of $\frac { 5 x ^ { 2 } + 49 x + 108 } { x ( x + 6 ) ^ { 2 } }$ ?

• A) \(\quad \frac { 3 } { ( x + 6 ) ^ { 2 } }\)
• B) \(\frac { 1 } { x + 6 }\)
• C) \(\frac { 6 } { x }\)
• D) \(\frac { 9 } { x }\)
• E) \(\frac { 1 } { ( x + 6 ) ^ { 2 } }\)