Find a Polynomial with the Given Zeros $- 1,5 , - \sqrt { 7 } , \sqrt { 7 }$

question 387

Multiple Choice

Find a polynomial with the given zeros. $- 1,5 , - \sqrt { 7 } , \sqrt { 7 }$

• A) \(x ^ { 5 } - 4 x ^ { 4 } - 12 x ^ { 3 } + 28 x ^ { 2 } + 35 x - 2\)
• B) \(x ^ { 4 } - 12 x ^ { 2 } + 35\)
• C) \(x ^ { 4 } - 12 x ^ { 3 } - 4 x ^ { 2 } - 28 x + 35\)
• D) \(x ^ { 4 } - 4 x ^ { 3 } - 12 x ^ { 2 } + 28 x + 35\)
• E)none of these

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Definitions:

Detachment

A state of emotional disengagement or withdrawal from previously engaging activities or relationships.

Moving Against People

An approach or behavior typified by antagonism or opposition toward others, often examined in psychology.

Extroversion

A personality trait characterized by sociability, talkativeness, assertiveness, and high levels of emotional expressiveness.

Choleric

A temperament characterized by a fast, active response to stimuli, often indicative of a person prone to be more easily angered or bad-tempered.