Find All the Zeros of the Polynomial Function $P ( x ) = x ^ { 3 } + 10 x ^ { 2 } + 34 x + 40$

question 37

Multiple Choice

Find all the zeros of the polynomial function $P ( x ) = x ^ { 3 } + 10 x ^ { 2 } + 34 x + 40$ and write the polynomial as a product of its linear factors.

• A) \(4\) , \(3 + i\) , \(3 + i\) ; \(P ( x ) = ( x + 4 ) ( x + 3 + i ) ( x + 3 + i )\)
• B) \(- 4\) , \(- 3 + i\) , \(- 3 - i\) ; \(P ( x ) = ( x - 4 ) ( x - 3 + i ) ( x - 3 - i )\)
• C) \(4\) , \(3 - i\) , \(3 + i\) ; \(P ( x ) = ( x + 4 ) ( x - 3 + i ) ( x - 3 - i )\)
• D) \(- 4\) , \(- 3 - i\) , \(- 3 + i\) ; \(P ( x ) = ( x + 4 ) ( x + 3 + i ) ( x + 3 - i )\)
• E) \(- 4\) , \(- 3 - i\) , \(- 3 - i\) ; \(P ( x ) = ( x - 4 ) ( x - 3 - i ) ( x - 3 - i )\)

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Definitions:

Cognitive-behavioral Perspective

A psychological approach that emphasizes the roles of thought and behavior in understanding and addressing psychological disorders.

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is an approach in psychology that emphasizes the influence of family dynamics and social environment on an individual's mental health and behavior.

Genetic Predispositions

The inherited traits that may increase the likelihood of developing certain diseases or conditions.

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