Write the Form of the Partial Fraction Decomposition of the Rational

question 37

Multiple Choice

Write the form of the partial fraction decomposition of the rational expression.Do not solve for the constants. $\frac { 6 x ^ { 2 } - 1 } { ( x + 8 ) ^ { 3 } }$

• A) \(\frac { A } { x + 8 } + \frac { B x } { ( x + 8 ) ^ { 2 } } + \frac { C x ^ { 2 } } { ( x + 8 ) ^ { 3 } }\)
• B) \(\frac { A x + B } { x + 8 } + \frac { C x + D } { ( x + 8 ) ^ { 2 } } + \frac { E x + F } { ( x + 8 ) ^ { 3 } }\)
• C) \(\frac { A x ^ { 2 } } { ( x + 8 ) ^ { 3 } } + \frac { B } { ( x + 8 ) ^ { 3 } }\)
• D) \(\frac { A } { x + 8 } + \frac { B } { ( x + 8 ) ^ { 2 } } + \frac { C } { ( x + 8 ) ^ { 3 } }\)
• E) \(\frac { A } { x + 8 } + \frac { B } { ( x + 8 ) ^ { 2 } }\)

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Definitions:

Coupon Rate

A bond's annual interest yield, represented as a percentage of its principal amount.

Market Rate

The market rate refers to the prevailing interest rate available in the marketplace for transactions of a similar nature.

Bonds

Fixed-income securities that represent a loan made by an investor to a borrower, typically corporate or governmental.

Par

The face value of a bond or stock, at which it is issued or can be redeemed before maturity.