Use the Factor Theorem to Determine Whether X - C $$f ( x ) = 5 x ^ { 4 } - 7 x ^ { 3 } + 17 x ^ { 2 } - 21 x + 6 ; c = 1$$

question 181

Multiple Choice

Use the Factor Theorem to determine whether x - c is a factor of f. If it is, write f in factored form, that is, write f in the
form f(x) = (x - c) (quotient) .
- $$f ( x ) = 5 x ^ { 4 } - 7 x ^ { 3 } + 17 x ^ { 2 } - 21 x + 6 ; c = 1$$

• A) Yes; \(f ( x ) = ( x - 1 ) \left( 5 x ^ { 3 } + 3 x ^ { 2 } + 15 x - 6 \right)\)
• B) Yes; \(f ( x ) = ( x - 1 ) \left( 5 x ^ { 3 } - 2 x ^ { 2 } - 16 x - 6 \right)\)
• C) Yes; \(f ( x ) = ( x - 1 ) \left( 5 x ^ { 3 } - 2 x ^ { 2 } + 15 x - 6 \right)\)
• D) No

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Definitions:

Person-centered Therapist

A therapist who practices a form of psychotherapy that emphasizes the client's self-discovery and actualization, and involves creating a non-judgmental, empathic, and accepting therapy environment, as developed by Carl Rogers.

Transference

In psychotherapy, the process by which emotions originally associated with one person, typically from early life, are unconsciously shifted onto the therapist.

Psychosurgery

Surgical procedures that alter brain tissue to treat mental disorders; a form of neuroscience treatment.

Schizophrenia

is a mental disorder characterized by disturbances in thought, perception, and behavior, including delusions and hallucinations.