Write the Partial Fraction Decomposition of the Rational Expression $$\frac { 2 x ^ { 3 } - 1 x ^ { 2 } + 13 x - 5 } { \left( x ^ { 2 } + 4 \right) ^ { 3 } }$$

question 58

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $$\frac { 2 x ^ { 3 } - 1 x ^ { 2 } + 13 x - 5 } { \left( x ^ { 2 } + 4 \right) ^ { 3 } }$$

• A) \(\frac { 2 x + 1 } { \left( x ^ { 2 } + 4 \right) ^ { 2 } } + \frac { 5 x + 1 } { \left( x ^ { 2 } + 4 \right) ^ { 3 } }\)
• B) \(\frac { x + 1 } { x ^ { 2 } + 4 } + \frac { 2 x - 1 } { \left( x ^ { 2 } + 4 \right) ^ { 2 } } + \frac { 5 x - 1 } { \left( x ^ { 2 } + 4 \right) ^ { 3 } }\)
• C) \(\frac { x } { x ^ { 2 } + 4 } + \frac { 2 x - 1 } { \left( x ^ { 2 } + 4 \right) ^ { 2 } } + \frac { 5 x - 1 } { \left( x ^ { 2 } + 4 \right) ^ { 3 } }\)
• D) \(\frac { 2 x - 1 } { \left( x ^ { 2 } + 4 \right) ^ { 2 } } + \frac { 5 x - 1 } { \left( x ^ { 2 } + 4 \right) ^ { 3 } }\)

Recognize the types of checks used by businesses, such as third-party checks, limited checks, and voucher checks.

Understand the importance of diversified banking practices to mitigate potential risks.

Understand the importance of recognizing and implementing specific security features in checks to prevent fraud.

Identify best practices in accepting checks to ensure their validity and protect against fraud.

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