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

question 40

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.
- $$f ( x ) = x ^ { 6 } - x ^ { 5 } - x ^ { 4 } - 5 x ^ { 3 } + 2 x ^ { 2 } + 2 x + 3$$

• A) \(6 ; 2\) or 0 positive zeros; 2 , or 0 negative zeros
• B) 6; 3 or 1 positive zeros; 3 or 1 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:

Capillaries

Tiny blood vessels connecting arterioles and venules, facilitating the exchange of water, oxygen, carbon dioxide, and other nutrients and waste substances between blood and tissues.

Abdominal Aorta

The main blood vessel supplying blood to the abdomen, pelvis, and legs.

Diaphragm

A large, dome-shaped muscle located at the base of the lungs that plays a key role in breathing by contracting and expanding the thoracic cavity.

Backflow

The flow of a fluid in a direction opposite to its usual or intended direction, often causing contamination or malfunction in plumbing or in bodily systems.