Find the Zeros for the Polynomial Function and Give the Multiplicity

question 119

Multiple Choice

Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses the
x-axis or touches the x-axis and turns around, at each zero.
- $$f ( x ) = 5 \left( x ^ { 2 } + 2 \right) ( x + 1 ) ^ { 2 }$$

• A) \(- 2\), multiplicity 1 , crosses the \(x\)-axis; \(- 1\), multiplicity 2 , crosses the \(x\)-axis
• B) \(- 2\), multiplicity 1 , crosses the \(x\)-axis; \(- 1\), multiplicity 2 , touches the \(x\)-axis and turns around.
• C) \(- 1\), multiplicity 2 , touches the \(x\)-axis and turns around
• D) \(- 1\), multiplicity 2 , crosses the \(x\)-axis

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Definitions:

Sociometer Theory

A theory linking level of self-esteem with level of belongingness.

Belongingness

An emotional need or desire for strong and stable relationships with different groups or communities.

Self-Esteem

An individual's overall subjective emotional evaluation of their own worth or value.

Self-Compassion

Being kind to yourself; treating yourself with the same sense of compassion that you would treat others.