Express F(x) in the Form F(x) = (X - K)q(x) $$f ( x ) = 3 x ^ { 4 } - 9 x ^ { 3 } + 2 x ^ { 2 } - 6 x ; \quad k = 3$$

question 507

Multiple Choice

Express f(x) in the form f(x) = (x - k) q(x) + r for the given value of k.
- $$f ( x ) = 3 x ^ { 4 } - 9 x ^ { 3 } + 2 x ^ { 2 } - 6 x ; \quad k = 3$$

• A) \(f ( x ) = ( x - 3 ) \left( 3 x ^ { 3 } + x ^ { 2 } - x + 3 \right) + 9\)
• B) \(f ( x ) = ( x + 3 ) \left( 3 x ^ { 2 } + 2 x \right)\)
• C) \(f ( x ) = ( x + 3 ) \left( 3 x ^ { 3 } + 2 x \right)\)
• D) \(f ( x ) = ( x - 3 ) \left( 3 x ^ { 3 } + 2 x \right)\)

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Definitions:

Receptors

Proteins found inside or on the cell surface that respond to specific chemical signals by initiating a cellular response.

Inhibitory Synapses

These are the connections between neurons that decrease the likelihood of the recipient neuron firing an action potential.

Endorphins

Natural chemicals in the brain that act as painkillers and mood enhancers, often released during exercise, excitement, pain, and sexual activity.

Rapidly

At a fast speed or in a short period of time.