Write a Linear Factorization of the Function $$f ( x ) = x ^ { 3 } + 4 x ^ { 2 } + 9 x + 36$$

question 206

Multiple Choice

Write a linear factorization of the function.
- $$f ( x ) = x ^ { 3 } + 4 x ^ { 2 } + 9 x + 36$$

• A) \(f ( x ) = ( x + 4 i ) ( x + 3 i ) ( x - 3 i )\)
• B) \(f ( x ) = ( x + 3 ) ( x + 4 i ) ( x - 4 i )\)
• C) \(f ( x ) = ( x + 4 ) ( x + 3 i ) ( x - 3 i )\)
• D) \(f ( x ) = ( x + 3 i ) ( x + 4 i ) ( x - 4 i )\)

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Definitions:

Generalization

A broad statement or an idea that applies to a group based on experiences with or observations of a smaller segment of the group.

Controlled Experiments

Experimental designs in which researchers manipulate variables under controlled conditions to determine cause and effect.

Correlation

A mutual relationship or connection between two or more things, where one does not necessarily cause the other.

Causal Relationship

A connection between two events where one is the effect of the other or happening as a result of the other.