Find a Polynomial of Least Degree with Only Real Coefficients $7 , - 11$

question 348

Multiple Choice

Find a polynomial of least degree with only real coefficients and having the given zeros.
- $7 , - 11$ , and $2 + 4 \mathrm { i }$

• A) \(f ( x ) = x ^ { 4 } - 9 x ^ { 3 } - 28 x ^ { 2 } + 194 x - 1540\)
• B) \(f ( x ) = x ^ { 4 } - 73 x ^ { 2 } + 388 x - 1540\)
• C) \(f ( x ) = x ^ { 4 } - 97 x ^ { 2 } + 388 x - 1540\)
• D) \(f ( x ) = x ^ { 4 } - 9 x ^ { 3 } + 28 x ^ { 2 } - 194 x + 1540\)

---

Definitions:

Endocrine Disruptors

Chemicals that can interfere with the endocrine (hormone) system in the body, potentially causing developmental, reproductive, neural, and immune effects.

Pharmaceuticals

Pharmaceuticals are medical drugs manufactured for diagnosis, treatment, or prevention of diseases, developed through extensive research and testing.

Natural Waters

Bodies of water found in nature, such as rivers, lakes, and oceans, which have not been significantly altered by human activity.

Elemental Symbol

A notation of one or two letters representing a chemical element derived from its current English name or historical Latin name.