Find All Zeros of the Function and Write the Polynomial $$f ( x ) = x ^ { 3 } + 4 x ^ { 2 } + 8 x + 8$$

question 319

Multiple Choice

Find all zeros of the function and write the polynomial as a product of linear factors.
- $$f ( x ) = x ^ { 3 } + 4 x ^ { 2 } + 8 x + 8$$

• A) \(f ( x ) = ( x + 2 ) ( x + 1 + i \sqrt { 3 } ) ( x - 1 - i \sqrt { 3 } )\)
• B) \(f ( x ) = ( x - 2 ) ( x + 3 + 1 i ) ( x - 3 - 1 i )\)
• C) \(f ( x ) = ( x + 2 ) ( x + 1 + i \sqrt { 3 } ) ( x + 1 - i \sqrt { 3 } )\)
• D) \(f ( x ) = ( x - 2 ) ( x + 3 + 1 i ) ( x + 3 - 1 i )\)

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A species of protozoan parasite responsible for a type of malaria, characterized by recurring fevers and anemia.

Life Cycle

The series of stages through which a living organism passes from the start of its life until it reproduces.

Malaria

Disease caused by the protozoan Plasmodium vivax; transmitted by the Anopheles mosquito.

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A kingdom of organisms that includes molds, yeasts, and mushrooms, which live by decomposing and absorbing the organic material in which they grow.