Write a Polynomial Function of Minimum Degree with Real Coefficients $- 4 i$

question 376

Multiple Choice

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the
polynomial in standard form.
- $- 4 i$ and $\sqrt { 3 }$

• A) \(f ( x ) = x ^ { 4 } - 13 x ^ { 2 } - 48\)
• B) \(f ( x ) = x ^ { 4 } - 26 x ^ { 2 } + 48\)
• C) \(f ( x ) = x ^ { 4 } + 26 x ^ { 2 } + 48\)
• D) \(f ( x ) = x ^ { 4 } + 13 x ^ { 2 } - 48\)

---

Definitions:

Pectoralis Minor

A thin, triangular muscle located beneath the pectoralis major in the chest, which plays a role in movements of the shoulder.

Rhomboideus Major

A muscle in the upper back that connects the scapula with the vertebral column, aiding in the shoulder's retraction and rotation.

Rotator Cuff

A group of muscles and tendons that surround the shoulder joint, supporting and enabling various arm movements.

Glenoid Fossa

A shallow depression in the scapula that articulates with the head of the humerus, forming the shoulder joint.