Write $f ( x ) = x ^ { 4 } - 2 x ^ { 3 } - x ^ { 2 } - 38 x + 130$

question 15

Multiple Choice

Write $f ( x ) = x ^ { 4 } - 2 x ^ { 3 } - x ^ { 2 } - 38 x + 130$ as a product of linear factors given that $3 - i$ and $- 2 - 3 i$ are zeros of the polynomial.

• A) \(( x - 3 - i ) ( x - 2 + 3 i ) ( x - 2 - 3 i ) ( x - 2 + i )\)
• B) \(( x - 3 - i ) ( x - 3 + i ) ( x - 2 - i ) ( x - 2 + i )\)
• C) \(( x - 3 - i ) ( x - 3 + i ) ( x - 2 - 3 i ) ( x - 2 + i )\)
• D) \(( x - 3 + i ) ( x - 3 - i ) ( x + 3 + 2 i ) ( x + 3 - 2 i )\)
• E) \(( x - 3 + i ) ( x - 3 - i ) ( x + 2 + 3 i ) ( x + 2 - 3 i )\)

---

Definitions:

African-Americans

Refers to citizens of the United States who have ancestry from the black racial groups of Africa.

South

A geographic and cultural region in the United States characterized by its distinct history, climate, demographics, and traditions.

1970

A year marked by significant global and national events including the first Earth Day, the Apollo 13 mission, and widespread protests against the Vietnam War.

77 Percent

This term could refer to a specific statistic or percentage in various contexts without a definition in isolation.