Give the Maximum Number of Zeros the Polynomial Function May $$f ( x ) = x ^ { 7 } + x ^ { 6 } + x ^ { 2 } + x + 8$$

question 102

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.
- $$f ( x ) = x ^ { 7 } + x ^ { 6 } + x ^ { 2 } + x + 8$$

• A) 7 ; 0 positive zeros; 1 negative zero
• B) 7; 0 positive zeros; 2 or 0 negative zeros
• C) \(7 ; 0\) positive zeros; 3 or 1 negative zeros
• D) 7; 0 positive zeros; 0 negative zeros

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Definitions:

Formalism

A specific method, convention, or approach characterized by its emphasis on form and structure in the arrangement of elements.

Moral Development

The process by which individuals develop their understanding of what is right and wrong, often influenced by societal norms and personal experiences.

Development Stage

A phase within a process or lifespan characterized by specific growth, progress, or changes.

Unethical

Behaviors or decisions that are morally wrong according to a widely accepted code of conduct, often violating social, professional, or legal standards.