Find a Polynomial of Least Degree with Only Real Coefficients $- \sqrt { 2 } , \sqrt { 2 }$

question 210

Multiple Choice

Find a polynomial of least degree with only real coefficients and having the given zeros.
- $- \sqrt { 2 } , \sqrt { 2 }$ , and $- 6 \mathrm { i }$

• A) \(f ( x ) = x ^ { 4 } - 34 x ^ { 2 } - 72\)
• B) \(f ( x ) = x ^ { 4 } + 34 x ^ { 2 } - 72\)
• C) \(f ( x ) = x ^ { 4 } + 68 x ^ { 2 } + 72\)
• D) \(f ( x ) = x ^ { 4 } - 68 x ^ { 2 } + 72\)

---

Definitions:

General Partnership

A business arrangement where two or more individuals agree to share in all assets, profits, and financial and legal liabilities of a jointly-owned business.

Corporation

A legal entity created by individuals, stockholders, or shareholders, with the purpose of operating for profit. Corporations can enter contracts, sue and be sued, and pay taxes apart from their owners.

Secondary Market

The marketplace where investors buy and sell securities they already own, as opposed to the primary market where securities are first issued.

Private Placement

The sale of securities directly to institutional investors or individuals, bypassing the public markets.