Partial Fractions
1 Decompose P/Q, Where Q Has Only Distinct Linear Factors
-$$\frac { 2 x + 4 } { ( x + 1 ) ( x + 7 ) }$$
A) $\frac { A } { x + 1 } + \frac { B } { x + 7 }$
B) $\frac { A } { x + 1 } + \frac { B } { x + 7 } + \frac { C } { ( x + 1 ) ( x + 7 ) }$
C) $\frac { \mathrm { A } } { \mathrm { x } + 1 } + \frac { \mathrm { B } } { \mathrm { x } + 7 } + \frac { \mathrm { Cx } + \mathrm { D } } { ( \mathrm { x } + 1 ) ( \mathrm { x } + 7 ) }$
D) $\frac { A } { x + 1 } + \frac { B } { x + 7 } + \frac { C } { ( x + 1 ) ^ { 2 } ( x + 7 ) ^ { 2 } }$

Question

Quizplus · Accepted Answer

Since Q has only distinct linear factors, the correct decomposition is in the form of A/(x+1) + B/(x+7), without any repeated factors or higher degree terms in the numerator.

Partial Fractions 1 Decompose P/Q, Where Q Has Only Distinct 2x+4(x+1)(x+7)\frac { 2 x + 4 } { ( x + 1 ) ( x + 7 ) }(x+1)(x+7)2x+4​

Partial Fractions
1 Decompose P/Q, Where Q Has Only Distinct $\frac { 2 x + 4 } { ( x + 1 ) ( x + 7 ) }$