Write the Partial Fraction Decomposition of the Rational Expression $\frac { 4 x ^ { 2 } + 3 x + 20 } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }$

question 23

Multiple Choice

Write the partial fraction decomposition of the rational expression.Check your result algebraically. $\frac { 4 x ^ { 2 } + 3 x + 20 } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }$

• A) \(\frac { 4 } { x ^ { 2 } + 5 } + \frac { 3 } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }\)
• B) \(\frac { 4 x + 20 } { x ^ { 2 } + 5 } + \frac { 3 x } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }\)
• C) \(\frac { 3 x + 4 } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }\)
• D) \(\frac { 4 } { x ^ { 2 } + 5 } - \frac { 3 x } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }\)
• E) \(\frac { 4 } { x ^ { 2 } + 5 } + \frac { 3 x } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }\)

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Distribution of Wealth

The way in which the wealth of a country is shared among its citizens or different groups in society.

Distribution of Income

The way in which a nation's total income is spread among its population.

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A nation located in North America that is made up of 50 states and one federal district, renowned for its significant economic size and varied demographics.

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The lowest legal salary that employers can pay workers, set by government policy to ensure a minimum standard of living for employees.