For the Polynomial, List Each Real Zero and Its Multiplicity $$f ( x ) = 3 ( x - 6 ) ( x + 7 ) ^ { 3 }$$

question 7

Multiple Choice

For the polynomial, list each real zero and its multiplicity. Determine whether the graph crosses or touches the x-axis at
each x -intercept.
- $$f ( x ) = 3 ( x - 6 ) ( x + 7 ) ^ { 3 }$$

• A) 6 , multiplicity 1 , crosses \(x\)-axis; \(- 7\), multiplicity 3 , crosses \(x\)-axis
• B) \(- 6\), multiplicity 1 , touches \(x\)-axis; 7 , multiplicity 3
• C) \(- 6\), multiplicity 1 , crosses \(x\)-axis; 7 , multiplicity 3 , crosses \(x\)-axis
• D) 6 , multiplicity 1 , touches \(x\)-axis; \(- 7\), multiplicity 3

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Definitions:

Consistency

the quality of always acting or behaving in the same way, showing reliability and uniformity in one's actions.

Distinctiveness

The quality of being clearly different or unique in comparison to others.

Collective Unconscious

A concept in analytical psychology proposing that societies share a set of inherited mental structures, which are not acquired by personal experience but are innate.

Carl Jung

A Swiss psychiatrist and psychoanalyst who founded analytical psychology, emphasizing the importance of the individual psyche and the personal quest for wholeness.