Find All Rational Zeros of the Polynomial $p ( x ) = 4 x ^ { 5 } + 24 x ^ { 4 } + 53 x ^ { 3 } + 53 x ^ { 2 } + 24 x + 4$

question 29

Essay

Find all rational zeros of the polynomial $p ( x ) = 4 x ^ { 5 } + 24 x ^ { 4 } + 53 x ^ { 3 } + 53 x ^ { 2 } + 24 x + 4$ .

---

Definitions:

Producer Plant

Typically refers to a facility or set of facilities that processes raw materials or components to manufacture goods or products for sale. In some contexts, it might specifically denote a facility involved in agricultural production.

Residential Construction

The building and selling of residential buildings such as houses, apartments, and condominiums.

Capacity Utilization Rate

The percentage of a firm's total possible production output that is actually being achieved, indicating how efficiently resources are being used.

Gross Investment

Gross Investment refers to the total amount of money spent on new capital assets, before accounting for depreciation.