Find a Polynomial of Least Degree with Only Real Coefficients $1 - \sqrt { 3 } , 1 + \sqrt { 3 }$

question 169

Multiple Choice

Find a polynomial of least degree with only real coefficients and having the given zeros.
- $1 - \sqrt { 3 } , 1 + \sqrt { 3 }$ , and $1 + i$

• A) \(f ( x ) = x ^ { 4 } + 3 x ^ { 3 } + 4 x ^ { 2 } - 1\)
• B) \(f ( x ) = x ^ { 4 } - 6 x ^ { 3 } + 8 x ^ { 2 } - 4\)
• C) \(f ( x ) = x ^ { 4 } + 6 x ^ { 3 } + 4 x ^ { 2 } - 4\)
• D) \(f ( x ) = x ^ { 4 } - 4 x ^ { 3 } + 4 x ^ { 2 } - 4\)

Understand the mechanisms behind adolescents' misinterpretation of emotional cues and facial expressions.

Identify strategies that can mitigate risky behaviors and support healthy development in adolescence.

Understand the development of cognitive systems in adolescence.

Identify the stages of Piaget's cognitive development and their characteristics.

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Definitions:

Altered State

A condition of consciousness that is significantly different from normal waking consciousness, often induced by methods such as meditation, drugs, or hypnosis.

Consciousness

The state of being aware of and able to think about one's own existence, sensations, thoughts, surroundings, and experiences.

Daydreaming

A short-term detachment from one’s immediate surroundings, during which a person's contact with reality is blurred and partially substituted by a visionary fantasy.

Stream of Consciousness

A literary technique that attempts to capture the flow of thoughts and feelings running through the mind.