Write the Function as a Product of Linear and Irreducible $$f ( x ) = 3 x ^ { 3 } + 10 x ^ { 2 } + 6 x + 9$$

question 158

Multiple Choice

Write the function as a product of linear and irreducible quadratic factors, all with real coefficients.
- $$f ( x ) = 3 x ^ { 3 } + 10 x ^ { 2 } + 6 x + 9$$

• A) \(( x + 3 ) \left( 3 x ^ { 2 } + 2 x - 3 \right)\)
• B) \(( x + 3 ) \left( 3 x ^ { 2 } + x + 3 \right)\)
• C) \(( x - 3 ) \left( 3 x ^ { 2 } + x + 3 \right)\)
• D) \(( x + 3 ) \left( 2 x ^ { 2 } + x + 3 \right)\)

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Definitions:

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A Russian physiologist best known for his work in classical conditioning, demonstrating how environmental stimuli can trigger involuntary responses.

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Stimuli that increase the probability of a response when they follow that response, a key concept in behaviorism.

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