Write the Form of the Partial Fraction Decomposition of the Rational

question 166

Multiple Choice

Write the form of the partial fraction decomposition of the rational expression.Do not solve for the constants. $\frac { x - 4 } { x \left( x ^ { 2 } + 7 \right) ^ { 2 } }$

• A) \(\frac { A } { x } + \frac { B } { x ^ { 2 } + 7 } + \frac { C } { \left( x ^ { 2 } + 7 x ^ { 4 } \right) ^ { 2 } }\)
• B) \(\frac { A } { x } + \frac { B x + C } { x ^ { 2 } + 7 } + \frac { D x + E } { ( x + 7 ) ^ { 2 } }\)
• C) \(\frac { A } { x } - \frac { B x + C } { \left( x ^ { 2 } + 7 \right) ^ { 2 } } - \frac { D x + E } { x \left( x ^ { 2 } + 7 \right) ^ { 2 } }\)
• D) \(\frac { A } { x } + \frac { B x + C } { x ^ { 2 } + 7 } + \frac { D x + E } { \left( x ^ { 2 } + 7 \right) ^ { 2 } }\)
• E) \(\frac { A } { x - 4 } + \frac { B x + C } { x ^ { 2 } + 7 } + \frac { D x + E } { \left( x ^ { 2 } + 7 \right) ^ { 2 } }\)

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Definitions:

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A legal principle that requires certain types of contracts to be in writing and signed to be enforceable.

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A legal principle in contract law that prevents parties from presenting extrinsic evidence of prior or contemporaneous negotiations to alter or contradict the terms of a written agreement.

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refers to a condition or event that must occur before a contract becomes effective or before a party is obligated to perform their contractual duties.

Parol Evidence Rule

A principle in contract law that prevents parties from presenting extrinsic evidence that would contradict, modify, or vary the terms of a written contract.