Find the Zeros of the Polynomial Function and State the Multiplicity

question 56

Multiple Choice

Find the zeros of the polynomial function and state the multiplicity of each.
- $$f ( x ) = x ^ { 3 } + 8 x ^ { 2 } - x - 8$$

• A) \(- 1\), multiplicity \(1 ; 1\), multiplicity \(1 ; 8\), multiplicity 1
• B) \(- 8\), multiplicity \(2 ; 1\), multiplicity 1
• C) \(- 8\), multiplicity \(1 ; - 1\), multiplicity \(1 ; 1\), multiplicity 1
• D) \(- 8\), multiplicity \(1 ; - 1\), multiplicity 2

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Definitions:

Cardinality Principle

A concept in mathematics education that the last number named when counting objects represents the total number of objects in the set.

Ascending-series Principle

A principle or method involving sequence or order that progresses from lower to higher, often used in contexts such as music, mathematics, and psychology.

Preoperational Stage

A stage in Jean Piaget's theory of cognitive development, occurring approximately between the ages of 2 and 7, characterized by symbolic thinking and egocentrism but a lack of operational logic.

Decenter

In Piaget’s terminology, to think simultaneously about several aspects of a situation.