Decompose P/Q, Where Q Has a Prime, Repeated Quadratic Factor $$\frac { 5 x ^ { 3 } + 30 x - 6 } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }$$

question 53

Multiple Choice

Decompose P/Q, Where Q Has a Prime, Repeated Quadratic Factor
Write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the
constants.
- $$\frac { 5 x ^ { 3 } + 30 x - 6 } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }$$

• A) \(\frac { 5 x } { x ^ { 2 } + 5 } + \frac { 5 x - 6 } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }\)
• B) \(\frac { 5 x + 1 } { x ^ { 2 } + 5 } + \frac { 5 x - 6 } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }\)
• C) \(\frac { 5 x } { x ^ { 2 } + 5 } + \frac { - 5 x - 6 } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }\)
• D) \(\frac { 5 x } { x ^ { 2 } + 5 } + \frac { 5 x + 6 } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }\)

Recognize the significance of construct validity in research and how variables represent theoretical constructs.

Understand the concept of validity in research and its implications for the accuracy of research findings.

Identify examples of experimental design elements that support the validity of research conclusions.

Understand the importance of formalism in shaping moral identity and moral behavior.

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Definitions:

Threshold Method

A technique used in various fields, including psychology and neuroscience, to determine the point at which a stimulus is strong enough to be detected or produce a response.

Noise

Unwanted or distracting sounds that can interfere with communication or concentration.

Guthrie

An American psychologist who proposed the theory of contiguity, suggesting that learning occurs when a stimulus and response occur close together in time.