Give the Maximum Number of Zeros the Polynomial Function May $$f ( x ) = x ^ { 6 } + 4 x ^ { 5 } + 4 x ^ { 4 } + 3 x ^ { 3 } - x ^ { 2 } - 5 x + 4$$

question 226

Multiple Choice

Give the maximum number of zeros the polynomial function may have. Use Descarte's Rule of Signs to determine how
many positive and how many negative zeros it may have.
- $$f ( x ) = x ^ { 6 } + 4 x ^ { 5 } + 4 x ^ { 4 } + 3 x ^ { 3 } - x ^ { 2 } - 5 x + 4$$

• A) 6 ; 2 or 0 positive zeros; 5,3 , or 1 negative zeros
• B) 6; 3 or 1 positive zeros; 4 , 2, or 0 negative zeros
• C) 6 ; 2 or 0 positive zeros; 4,2 , or 0 negative zeros
• D) 6; 4 , 2, or 0 positive zeros; 2, or 0 negative zeros

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Definitions:

Consumer Hyperchoice

The condition where consumers are faced with too many choices, leading to decision fatigue, anxiety, and potentially poorer choices.

Rational Perspective

An approach that emphasizes logical, conscious thought processes and decision-making based on information and reasoning.

Consumer Hyperchoice

A situation where consumers face an overwhelming number of product choices, leading to difficulty in making purchase decisions.

Behavioural Influence Perspective

A viewpoint in psychology and marketing emphasizing how external factors, such as social and environmental cues, influence individuals' behaviour and decisions.