Use Descartes's Rule of Signs to Determine the Possible Number $$f ( x ) = 9 x ^ { 3 } - 7 x ^ { 2 } + x + 4.5$$

question 89

Multiple Choice

Use Descartes's Rule of Signs to determine the possible number of positive and negative real zeros for the given
function.
- $$f ( x ) = 9 x ^ { 3 } - 7 x ^ { 2 } + x + 4.5$$

• A) 2 or 0 positive zeros, 1 negative zero
• B) 3 or 1 positive zeros, 1 negative zero
• C) 2 or 0 positive zeros, no negative zeros
• D) 3 or 1 positive zeros, 2 or 0 negative zeros

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Definitions:

Drive-Reduction Theory

A theory of motivation proposing that the primary purpose of behavior is the reduction of drives, which are state of tension or arousal caused by biological or physiological needs.

Homeostatic

Pertaining to homeostasis, the process by which a steady state of internal conditions is maintained in a living organism despite external changes.

Tension

Tension refers to a state of mental or emotional strain or stress that arises from demanding circumstances.

Primary Drives

Basic, biological urges or needs, such as hunger and thirst, that motivate behavior.