Determine the Number of Possible Positive and Negative Real Zeros $p ( x ) = x ^ { 5 } - 4 x ^ { 4 } - 13 x ^ { 3 } + 70 x ^ { 2 } - 90 x + 36$

question 27

Multiple Choice

Determine the number of possible positive and negative real zeros using Descartes' Rule of Signs. $p ( x ) = x ^ { 5 } - 4 x ^ { 4 } - 13 x ^ { 3 } + 70 x ^ { 2 } - 90 x + 36$

• A) Positive real: exactly one; Negative real: exactly one
• B) Positive real: 2 or 0; Negative real: exactly 2
• C) Positive real: 4 or 0; Negative real: exactly one
• D) Positive real: exactly 4; Negative real: exactly one
• E) Positive real: 4, 2, or 0; Negative real: exactly one

---

Definitions:

Personality Disorder

A mental condition marked by persistent unhealthy patterns of thinking, behaving, and feeling that are displayed in various situations and differ from what is considered normal by the person's cultural standards.

Depression

A condition of mental health defined by an ongoing state of depression or a decrease in pleasure in activities, significantly affecting daily activities.

Panic Attacks

Sudden and intense feelings of fear or discomfort, often with physical symptoms such as rapid heartbeat and sweating.

Agoraphobia

An anxiety disorder characterized by intense fear of places or situations from which escape might be difficult or embarrassing, or in which help may not be available.