Factor F(x) into Linear Factors Given That K Is a Zero

question 367

Multiple Choice

Factor f(x) into linear factors given that k is a zero of f(x) .
- $f ( x ) = x ^ { 4 } + 14 x ^ { 3 } + 44 x ^ { 2 } - 70 x - 245 ; k = - 7$ (multiplicity 2)

• A) \(f ( x ) = ( x - 7 ) ( x + 7 ) ( x - \sqrt { 5 } ) ( x + \sqrt { 5 } )\)
• B) \(f ( x ) = ( x + 7 ) ^ { 2 } ( x - 5 ) ( x + 5 )\)
• C) \(f ( x ) = ( x + 7 ) ^ { 2 } ( x - \sqrt { 5 } ) ( x + \sqrt { 5 } )\)
• D) \(f ( x ) = ( x - 7 ) ^ { 2 } ( x - \sqrt { 5 } ) ( x + \sqrt { 5 } )\)

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Definitions:

Cost-Benefit Analysis

A comparison of the costs and benefits of each potential course of action.

Lack-Of-Participation Error

Failure to involve in a decision the persons whose support is needed to implement it.

Classical Decision Model

A theory suggesting decision-making is a rational process, where choices are made logically and with full information.

Complete Information

A situation where all participants have access to all relevant information needed to make informed decisions without any hidden or missing data.