Find the Zeros of the Function Algebraically $$f ( x ) = \frac { 1 } { 8 } x ^ { 3 } - x$$

question 24

Multiple Choice

Find the zeros of the function algebraically.? $$f ( x ) = \frac { 1 } { 8 } x ^ { 3 } - x$$ ?

• A) \(x = 0 , \sqrt { 8 }\)
• B) \(x = 0 , - \sqrt { 8 }\)
• C) \(x = 0 , \pm 8\)
• D) \(x = 0 , \pm \sqrt { 8 }\)
• E) \(x = 0,8\)

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Definitions:

Constant Temperature

A condition or process that occurs at an unchanging temperature, regardless of other varying factors.

Chemical Reaction

A process that involves rearrangement of the molecular or ionic structure of a substance, as opposed to a change in physical form or a nuclear reaction.

Constant Pressure

A condition or process in which the pressure remains unchanged over time.

Equilibrium

A state in which opposing forces or influences are balanced, often referring to chemical reactions reaching a state where the rates of the forward and reverse reactions are equal.