Find the Partial Fraction Decomposition for the Rational Expression $\frac { 5 x ^ { 2 } + 20 x - 10 } { \left( 2 x ^ { 2 } + 1 \right) ( 3 - x ) }$

question 169

Multiple Choice

Find the partial fraction decomposition for the rational expression.
$\frac { 5 x ^ { 2 } + 20 x - 10 } { \left( 2 x ^ { 2 } + 1 \right) ( 3 - x ) }$

• A) \(\frac { 99 x - 83 } { 2 x ^ { 2 } + 1 } + \frac { - 59 } { x - 3 }\)
• B) \(\frac { 5 x - 5 } { 2 x ^ { 2 } + 1 } + \frac { - 5 } { x - 3 }\)
• C) \(\frac { 99 x + 83 } { 2 x ^ { 2 } + 1 } + \frac { - 59 } { x - 3 }\)
• D) \(\frac { 5 x - 5 } { 2 x ^ { 2 } + 1 } + \frac { 5 } { x - 3 }\)

Demonstrate accuracy in solving financial problems to a specific number of decimal places or to the nearest cent.

Solve for specific financial parameters using algebraic manipulation of given formulas.

Interpret and solve given mathematical problems in financial contexts accurately.

Understand the effects of compounding interest on savings and loans calculations.

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