Use Substitution to Factor the Polynomial Completely $4 x ^ { 4 } + 4 x ^ { 2 } - 15$

question 345

Multiple Choice

Use substitution to factor the polynomial completely.
- $4 x ^ { 4 } + 4 x ^ { 2 } - 15$

• A) \(\left( 2 x ^ { 2 } - 3 \right) \left( 2 x ^ { 2 } + 5 \right)\)
• B) \(\left( 4 x ^ { 2 } - 3 \right) \left( x ^ { 2 } + 5 \right)\)
• C) \(\left( 2 x ^ { 2 } - 15 \right) \left( 2 x ^ { 2 } + 1 \right)\)
• D) \(\left( 2 x ^ { 2 } + 3 \right) \left( 2 x ^ { 2 } - 5 \right)\)

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Definitions:

Behavioral Contracting

A treatment approach that involves creating a formal agreement between a patient and therapist outlining behaviors to change and consequences.

Negative Transference

In psychotherapy, a psychological phenomenon where a patient projects feelings of anger, hatred, or disappointment onto the therapist, often rooted in past relationships.

Desensitization

A process in psychology used to reduce phobic or negative reactions to stimuli by gradually exposing the individual to the stimuli in a controlled manner.

Aversive Conditioning

A method of behavior modification that involves using unpleasant stimuli to discourage undesirable behaviors.