Find the Real Zeros of the Function, State Their Multiplicities $f ( x ) = \left( x + \frac { 1 } { 3 } \right) ^ { 2 } ( x - 2 ) ^ { 3 }$

question 5

Multiple Choice

Find the real zeros of the function, state their multiplicities if it is a number other than 1.
- $f ( x ) = \left( x + \frac { 1 } { 3 } \right) ^ { 2 } ( x - 2 ) ^ { 3 }$

• A) \(x = - \frac { 1 } { 3 }\), multiplicity: 2
• \(x = 2\), multiplicity: 3
• B) \(x = \frac { 1 } { 3 }\), multiplicity: 2
• \(x = - 2\), multiplicity: 3
• C) \(x = - \frac { 1 } { 3 }\), multiplicity: 2
• \(x = 2\), multiplicity: 2
• D) \(x = \frac { 1 } { 3 }\), multiplicity: 2
• \(x = 2\), multiplicity: 3

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Definitions:

Vegetative Reproduction

A form of asexual reproduction in plants where new individuals are formed from the vegetative parts of the parent plant, such as roots, stems, or leaves.

Cellular Respiration

The metabolic process by which cells produce energy in the form of ATP from glucose, typically involving the consumption of oxygen and production of carbon dioxide.

Internodes

Sections of a plant stem or branch occurring between two successive nodes, which are the points on a stem where leaves or branches originate.

Secondary Growth

Refers to the growth process in plants that results in increased thickness of stems and roots, typically seen in woody plants.