Determine the Possible Number of Positive Real Zeros and Negative $$f ( x ) = x ^ { 5 } - 1.5 x ^ { 4 } - 18.39 x ^ { 3 } + 3 x ^ { 2 } + 47.51 x - 10.849$$

question 125

Multiple Choice

Determine the possible number of positive real zeros and negative real zeros of the polynomial function using Descartes' rule of signs.
- $$f ( x ) = x ^ { 5 } - 1.5 x ^ { 4 } - 18.39 x ^ { 3 } + 3 x ^ { 2 } + 47.51 x - 10.849$$

• A)3 or 1 positive zeros, 3 or 1 negative zeros
• B)2 or 0 positive zeros, 2 or 0 negative zeros
• C)2 or 0 positive zeros, 3 or 1 negative zeros
• D)3 or 1 positive zeros, 2 or 0 negative zeros

---

Definitions:

Diminishing Marginal Utility

The principle that as a consumer increases the consumption of a good or service, the marginal utility obtained from each additional unit of the good or service decreases.

Loss Averse

The tendency of individuals to prefer avoiding losses to acquiring equivalent gains, a fundamental behavior observed in economic and financial decision-making.

Framing Effect

A cognitive bias in which the way information is presented affects decision-making or judgments, leading individuals to alter their interpretation based on the "frame" of reference.

Identical Situations

Circumstances or scenarios where all relevant factors and conditions are exactly the same for all parties involved.