Write the Function as a Product of Linear and Irreducible $$f ( x ) = 2 x ^ { 3 } + 7 x ^ { 2 } + 7 x + 12$$

question 369

Multiple Choice

Write the function as a product of linear and irreducible quadratic factors, all with real coefficients.
- $$f ( x ) = 2 x ^ { 3 } + 7 x ^ { 2 } + 7 x + 12$$

• A) \(( x + 3 ) \left( 2 x ^ { 2 } + x + - 4 \right)\)
• B) \(( x + 3 ) \left( 2 x ^ { 2 } + x + 4 \right)\)
• C) \(( x - 3 ) \left( 2 x ^ { 2 } + x + 4 \right)\)
• D) \(( x - 3 ) \left( 2 x ^ { 2 } + x + - 4 \right)\)

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Definitions:

Potassium

A chemical element with the symbol K, essential for various bodily functions including nerve signal transmission and muscle contraction.

Sodium

A chemical element (symbol Na) that is essential for the body's fluid balance and nerve and muscle function, often regulated through diet.

Excitation

The process of causing a neuron or muscle cell to become more active or aroused.

Resting Potential

The electrical charge across a neuron's plasma membrane when the neuron is not actively sending a signal, serving as the basis of potential neural activation.