Find the Zeros for the Polynomial Function and Give the Multiplicity

question 213

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.
- $$f ( x ) = 3 \left( x ^ { 2 } + 3 \right) ( x + 1 ) ^ { 2 }$$

• A) \(- 1\), multiplicity 2 , touches the \(x\)-axis and turns around
• B) \(- 3\), multiplicity 1 , crosses the \(x\)-axis; \(- 1\), multiplicity 2 , touches the \(x\)-axis and turns around.
• C) \(- 3\), multiplicity 1 , crosses the x-axis; \(- 1\), multiplicity 2 , crosses the x-axis
• D) \(- 1\), multiplicity 2 , crosses the \(x\)-axis

---

Definitions:

Group Polarization

Group polarization refers to the tendency for a group to make decisions that are more extreme than the initial inclination of its members, following group discussion.

Social Facilitation

The inclination of individuals to behave differently around others than when by themselves, usually showing improvement in easy or practiced tasks.

Collectivism

A social theory prioritizing the needs and goals of the group over the desires or needs of any one individual.

Individualism

A social and cultural ethos that emphasizes the self-expression and autonomy of the individual, often over community or societal norms.