Find All Rational Zeros and Factor F(x) $f ( x ) = 12 x ^ { 3 } + 61 x ^ { 2 } + 4 x - 5$

question 113

Multiple Choice

Find all rational zeros and factor f(x) .
$f ( x ) = 12 x ^ { 3 } + 61 x ^ { 2 } + 4 x - 5$

• A) \(- 3,4 , - 5 ; f ( x ) = ( x + 3 ) ( x - 4 ) ( x + 5 )\)
• B) \(- \frac { 1 } { 12 } , 1 , - 5 ; f ( x ) = ( 12 x + 1 ) ( x - 1 ) ( x + 5 )\)
• C) \(- 3,4 , - 5 ; f ( x ) = ( 3 x + 1 ) ( 4 x - 1 ) ( x + 5 )\)
• D) \(- \frac { 1 } { 3 } , \frac { 1 } { 4 } , - 5 ; f ( x ) = ( 3 x + 1 ) ( 4 x - 1 ) ( x + 5 )\)

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Definitions:

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An accounting technique used to periodically lower the book value of a loan or intangible asset over a set period of time, essentially reflecting the cost of the asset over its useful life or payback period.

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Unrealized Loss

A loss that results from holding onto an asset that has decreased in price, but has not yet been sold.

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The residual interest in the assets of a corporation after deducting its liabilities, representing the ownership interest of shareholders.