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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